Dynamics of the quantum phase transition in the one-dimensional Bose-Hubbard model: Excitations and correlations induced by a quench

Gardas, Bartłomiej; Dziarmaga, Jacek; Zurek, Wojciech H.

doi:10.1103/PhysRevB.95.104306

Title: Dynamics of the quantum phase transition in the one-dimensional Bose-Hubbard model: Excitations and correlations induced by a quench

Journal Article · Fri Mar 24 00:00:00 EDT 2017 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.95.104306· OSTI ID:1412858

Gardas, Bartłomiej ^[1]; Dziarmaga, Jacek ^[2];

^[3]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Center for Integrated Nanotechnologies (CINT); Univ. of Silesia (Poland). Inst. of Physics; Astronomy and Applied Computer Science of the Jagiellonian Univ., Krakow (Poland)
Astronomy and Applied Computer Science of the Jagiellonian Univ., Krakow (Poland)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

The ground state of the one-dimensional Bose-Hubbard model at unit filling undergoes the Mott-superfluid quantum phase transition. It belongs to the Kosterlitz-Thouless universality class with an exponential divergence of the correlation length in place of the usual power law. Here, we present numerical simulations of a linear quench both from the Mott insulator to superfluid and back. The results satisfy the scaling hypothesis that follows from the Kibble-Zurek mechanism (KZM). In the superfluid-to-Mott quenches there is no significant excitation in the superfluid phase despite its gaplessness. And since all critical superfluid ground states are qualitatively similar, the excitation begins to build up only after crossing the critical point when the ground state begins to change fundamentally. The last process falls into the KZM framework.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1412858

Alternate ID(s):: OSTI ID: 1349957

Report Number(s):: LA-UR-16-29379; PRBMDO; TRN: US1800376

Journal Information:: Physical Review B, Vol. 95, Issue 10; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 17 works

Citation information provided by
Web of Science

References (127)

Emergence of coherence via transverse condensation in a uniform quasi-two-dimensional Bose gas Chomaz, Lauriane; Corman, Laura; Bienaimé, Tom Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms7162	journal	January 2015
Berezinskii–Kosterlitz–Thouless crossover in a trapped atomic gas Hadzibabic, Zoran; Krüger, Peter; Cheneau, Marc Nature, Vol. 441, Issue 7097 https://doi.org/10.1038/nature04851	journal	June 2006
Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions Deng, S.; Ortiz, G.; Viola, L. EPL (Europhysics Letters), Vol. 84, Issue 6 https://doi.org/10.1209/0295-5075/84/67008	journal	December 2008
Kibble-Zurek problem: Universality and the scaling limit Chandran, Anushya; Erez, Amir; Gubser, Steven S. Physical Review B, Vol. 86, Issue 6 https://doi.org/10.1103/PhysRevB.86.064304	journal	August 2012
Dynamics of a Quantum Phase Transition: Exact Solution of the Quantum Ising Model Dziarmaga, Jacek Physical Review Letters, Vol. 95, Issue 24 https://doi.org/10.1103/PhysRevLett.95.245701	journal	December 2005
Thermodynamic universality of quantum Carnot engines Gardas, Bartłomiej; Deffner, Sebastian Physical Review E, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevE.92.042126	journal	October 2015
Cosmological experiments in condensed matter systems Zurek, W. H. Physics Reports, Vol. 276, Issue 4 https://doi.org/10.1016/S0370-1573(96)00009-9	journal	November 1996
Experimental Trapped-ion Quantum Simulation of the Kibble-Zurek dynamics in momentum space Cui, Jin-Ming; Huang, Yun-Feng; Wang, Zhao Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep33381	journal	September 2016
Trapping of Topological-Structural Defects in Coulomb Crystals Mielenz, M.; Brox, J.; Kahra, S. Physical Review Letters, Vol. 110, Issue 13 https://doi.org/10.1103/PhysRevLett.110.133004	journal	March 2013
Quench dynamics of the 2d XY model Jelić, Asja; Cugliandolo, Leticia F. Journal of Statistical Mechanics: Theory and Experiment, Vol. 2011, Issue 02 https://doi.org/10.1088/1742-5468/2011/02/P02032	journal	February 2011
Dynamics of the Bose-Hubbard model: Transition from a Mott insulator to a superfluid Cucchietti, Fernando M.; Damski, Bogdan; Dziarmaga, Jacek Physical Review A, Vol. 75, Issue 2 https://doi.org/10.1103/PhysRevA.75.023603	journal	February 2007
Cooling dynamics of pure and random Ising chains Suzuki, Sei Journal of Statistical Mechanics: Theory and Experiment, Vol. 2009, Issue 03 https://doi.org/10.1088/1742-5468/2009/03/P03032	journal	March 2009
Kibble-Zurek mechanism in a quenched ferromagnetic Bose-Einstein condensate Saito, Hiroki; Kawaguchi, Yuki; Ueda, Masahito Physical Review A, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevA.76.043613	journal	October 2007
Formation of helical ion chains Nigmatullin, R.; del Campo, A.; De Chiara, G. Physical Review B, Vol. 93, Issue 1 https://doi.org/10.1103/PhysRevB.93.014106	journal	January 2016
The Cosmological Kibble Mechanism in the Laboratory: String Formation in Liquid Crystals Bowick, M. J.; Chandar, L.; Schiff, E. A. Science, Vol. 263, Issue 5149 https://doi.org/10.1126/science.263.5149.943	journal	February 1994
Quench-Induced Supercurrents in an Annular Bose Gas Corman, L.; Chomaz, L.; Bienaimé, T. Physical Review Letters, Vol. 113, Issue 13 https://doi.org/10.1103/PhysRevLett.113.135302	journal	September 2014
Colloquium : Nonequilibrium dynamics of closed interacting quantum systems Polkovnikov, Anatoli; Sengupta, Krishnendu; Silva, Alessandro Reviews of Modern Physics, Vol. 83, Issue 3 https://doi.org/10.1103/RevModPhys.83.863	journal	August 2011
Space and time renormalization in phase transition dynamics Francuz, Anna; Dziarmaga, Jacek; Gardas, Bartłomiej Physical Review B, Vol. 93, Issue 7 https://doi.org/10.1103/PhysRevB.93.075134	journal	February 2016
Nonlinear electric transport in graphene: Quantum quench dynamics and the Schwinger mechanism Dóra, Balázs; Moessner, Roderich Physical Review B, Vol. 81, Issue 16 https://doi.org/10.1103/PhysRevB.81.165431	journal	April 2010
Quench in the 1D Bose-Hubbard model: Topological defects and excitations from the Kosterlitz-Thouless phase transition dynamics Dziarmaga, Jacek; Zurek, Wojciech H. Scientific Reports, Vol. 4, Issue 1 https://doi.org/10.1038/srep05950	journal	August 2014
Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model Cincio, Lukasz; Dziarmaga, Jacek; Rams, Marek M. Physical Review A, Vol. 75, Issue 5 https://doi.org/10.1103/PhysRevA.75.052321	journal	May 2007
Exploring Symmetry Breaking at the Dicke Quantum Phase Transition Baumann, K.; Mottl, R.; Brennecke, F. Physical Review Letters, Vol. 107, Issue 14 https://doi.org/10.1103/PhysRevLett.107.140402	journal	September 2011
Direct Observation of the Proliferation of Ferroelectric Loop Domains and Vortex-Antivortex Pairs Chae, S. C.; Lee, N.; Horibe, Y. Physical Review Letters, Vol. 108, Issue 16 https://doi.org/10.1103/PhysRevLett.108.167603	journal	April 2012
Emergence of coherence and the dynamics of quantum phase transitions Braun, Simon; Friesdorf, Mathis; Hodgman, Sean S. Proceedings of the National Academy of Sciences https://doi.org/10.1073/pnas.1408861112	journal	March 2015
Topological relics of symmetry breaking: winding numbers and scaling tilts from random vortex–antivortex pairs Zurek, W. H. Journal of Physics: Condensed Matter, Vol. 25, Issue 40 https://doi.org/10.1088/0953-8984/25/40/404209	journal	September 2013
Phase-transition dynamics in the lab and the universe Kibble, Tom Physics Today, Vol. 60, Issue 9 https://doi.org/10.1063/1.2784684	journal	September 2007
Spontaneous vortices in the formation of Bose–Einstein condensates Weiler, Chad N.; Neely, Tyler W.; Scherer, David R. Nature, Vol. 455, Issue 7215 https://doi.org/10.1038/nature07334	journal	October 2008
Quenching dynamics of a quantum $X Y$ spin- $\frac{1}{2}$ chain in a transverse field Mukherjee, Victor; Divakaran, Uma; Dutta, Amit Physical Review B, Vol. 76, Issue 17 https://doi.org/10.1103/PhysRevB.76.174303	journal	November 2007
Nonequilibrium Dynamic Critical Scaling of the Quantum Ising Chain Kolodrubetz, Michael; Clark, Bryan K.; Huse, David A. Physical Review Letters, Vol. 109, Issue 1 https://doi.org/10.1103/PhysRevLett.109.015701	journal	July 2012
Landau-Zener problem with waiting at the minimum gap and related quench dynamics of a many-body system Divakaran, Uma; Dutta, Amit; Sen, Diptiman Physical Review B, Vol. 81, Issue 5 https://doi.org/10.1103/PhysRevB.81.054306	journal	February 2010
Adiabatic dynamics in passage across quantum critical lines and gapless phases Chowdhury, Debanjan; Divakaran, Uma; Dutta, Amit Physical Review E, Vol. 81, Issue 1 https://doi.org/10.1103/PhysRevE.81.012101	journal	January 2010
Dynamics of an inhomogeneous quantum phase transition Dziarmaga, Jacek; Rams, Marek M. New Journal of Physics, Vol. 12, Issue 5 https://doi.org/10.1088/1367-2630/12/5/055007	journal	May 2010
Defect Formation beyond Kibble-Zurek Mechanism and Holography Chesler, Paul M.; García-García, Antonio M.; Liu, Hong Physical Review X, Vol. 5, Issue 2 https://doi.org/10.1103/PhysRevX.5.021015	journal	May 2015
Dynamics of Quantum Phase Transition in an Array of Josephson Junctions Dziarmaga, J.; Smerzi, A.; Zurek, W. H. Physical Review Letters, Vol. 88, Issue 16 https://doi.org/10.1103/PhysRevLett.88.167001	journal	April 2002
Zurek-Kibble Domain Structures: The Dynamics of Spontaneous Vortex Formation in Annular Josephson Tunnel Junctions Monaco, R.; Mygind, J.; Rivers, R. J. Physical Review Letters, Vol. 89, Issue 8 https://doi.org/10.1103/PhysRevLett.89.080603	journal	August 2002
Universality of phase transition dynamics: Topological defects from symmetry breaking del Campo, Adolfo; Zurek, Wojciech H. International Journal of Modern Physics A, Vol. 29, Issue 08 https://doi.org/10.1142/S0217751X1430018X	journal	March 2014
Vortex String Formation in a 3D U(1) Temperature Quench Antunes, Nuno D.; Bettencourt, Luís M. A.; Zurek, Wojciech H. Physical Review Letters, Vol. 82, Issue 14 https://doi.org/10.1103/PhysRevLett.82.2824	journal	April 1999
Exact Results for Quench Dynamics and Defect Production in a Two-Dimensional Model Sengupta, K.; Sen, Diptiman; Mondal, Shreyoshi Physical Review Letters, Vol. 100, Issue 7 https://doi.org/10.1103/PhysRevLett.100.077204	journal	February 2008
Kosterlitz-Thouless Transition in Proximity-Coupled Superconducting Arrays Resnick, D. J.; Garland, J. C.; Boyd, J. T. Physical Review Letters, Vol. 47, Issue 21 https://doi.org/10.1103/PhysRevLett.47.1542	journal	November 1981
Excitation energy after a smooth quench in a Luttinger liquid Dziarmaga, Jacek; Tylutki, Marek Physical Review B, Vol. 84, Issue 21 https://doi.org/10.1103/PhysRevB.84.214522	journal	December 2011
Spontaneous creation of Kibble–Zurek solitons in a Bose–Einstein condensate Lamporesi, Giacomo; Donadello, Simone; Serafini, Simone Nature Physics, Vol. 9, Issue 10 https://doi.org/10.1038/nphys2734	journal	September 2013
Universal space-time scaling symmetry in the dynamics of bosons across a quantum phase transition Clark, L. W.; Feng, L.; Chin, C. Science, Vol. 354, Issue 6312 https://doi.org/10.1126/science.aaf9657	journal	November 2016
Defect production due to quenching through a multicritical point Divakaran, Uma; Mukherjee, Victor; Dutta, Amit Journal of Statistical Mechanics: Theory and Experiment, Vol. 2009, Issue 02 https://doi.org/10.1088/1742-5468/2009/02/P02007	journal	February 2009
Quantum Kibble-Zurek Mechanism in a Spin-1 Bose-Einstein Condensate Anquez, M.; Robbins, B. A.; Bharath, H. M. Physical Review Letters, Vol. 116, Issue 15 https://doi.org/10.1103/PhysRevLett.116.155301	journal	April 2016
Evidence for Long-Range Correlations within Arrays of Spontaneously Created Magnetic Vortices in a Nb Thin-Film Superconductor Golubchik, Daniel; Polturak, Emil; Koren, Gad Physical Review Letters, Vol. 104, Issue 24 https://doi.org/10.1103/PhysRevLett.104.247002	journal	June 2010
Scaling Behavior and Beyond Equilibrium in the Hexagonal Manganites Griffin, S. M.; Lilienblum, M.; Delaney, K. T. Physical Review X, Vol. 2, Issue 4 https://doi.org/10.1103/PhysRevX.2.041022	journal	December 2012
Causality and non-equilibrium second-order phase transitions in inhomogeneous systems del Campo, A.; Kibble, T. W. B.; Zurek, W. H. Journal of Physics: Condensed Matter, Vol. 25, Issue 40 https://doi.org/10.1088/0953-8984/25/40/404210	journal	September 2013
Universal adiabatic dynamics in the vicinity of a quantum critical point Polkovnikov, Anatoli Physical Review B, Vol. 72, Issue 16 https://doi.org/10.1103/PhysRevB.72.161201	journal	October 2005
Cosmological experiments in superfluid helium? Zurek, W. H. Nature, Vol. 317, Issue 6037 https://doi.org/10.1038/317505a0	journal	October 1985
Winding up superfluid in a torus via Bose Einstein condensation Das, Arnab; Sabbatini, Jacopo; Zurek, Wojciech H. Scientific Reports, Vol. 2, Issue 1 https://doi.org/10.1038/srep00352	journal	April 2012
Causality in Condensates: Gray Solitons as Relics of BEC Formation Zurek, Wojciech H. Physical Review Letters, Vol. 102, Issue 10 https://doi.org/10.1103/PhysRevLett.102.105702	journal	March 2009
Vortex Formation in Two Dimensions: When Symmetry Breaks, How Big Are the Pieces? Yates, Andrew; Zurek, Wojciech H. Physical Review Letters, Vol. 80, Issue 25 https://doi.org/10.1103/PhysRevLett.80.5477	journal	June 1998
Spontaneous nucleation and dynamics of kink defects in zigzag arrays of trapped ions Ejtemaee, S.; Haljan, P. C. Physical Review A, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevA.87.051401	journal	May 2013
Reverse quenching in a one-dimensional Kitaev model Divakaran, Uma; Dutta, Amit Physical Review B, Vol. 79, Issue 22 https://doi.org/10.1103/PhysRevB.79.224408	journal	June 2009
Quantum thermodynamics of general quantum processes Binder, Felix; Vinjanampathy, Sai; Modi, Kavan Physical Review E, Vol. 91, Issue 3 https://doi.org/10.1103/PhysRevE.91.032119	journal	March 2015
Topological defects as relics of emergent continuous symmetry and Higgs condensation of disorder in ferroelectrics Lin, Shi-Zeng; Wang, Xueyun; Kamiya, Yoshitomo Nature Physics, Vol. 10, Issue 12 https://doi.org/10.1038/nphys3142	journal	November 2014
Quantum Quench of an Atomic Mott Insulator Chen, David; White, Matthew; Borries, Cecilia Physical Review Letters, Vol. 106, Issue 23 https://doi.org/10.1103/PhysRevLett.106.235304	journal	June 2011
Kibble–Zurek mechanism in colloidal monolayers Deutschländer, Sven; Dillmann, Patrick; Maret, Georg Proceedings of the National Academy of Sciences, Vol. 112, Issue 22 https://doi.org/10.1073/pnas.1500763112	journal	April 2015
Quenching along a gapless line: A different exponent for defect density Divakaran, Uma; Dutta, Amit; Sen, Diptiman Physical Review B, Vol. 78, Issue 14 https://doi.org/10.1103/PhysRevB.78.144301	journal	October 2008
Observation of Spontaneous Flux Generation in a Multi-Josephson-Junction Loop Carmi, Raz; Polturak, Emil; Koren, Gad Physical Review Letters, Vol. 84, Issue 21 https://doi.org/10.1103/PhysRevLett.84.4966	journal	May 2000
Dynamics of a Quantum Phase Transition Zurek, Wojciech H.; Dorner, Uwe; Zoller, Peter Physical Review Letters, Vol. 95, Issue 10 https://doi.org/10.1103/PhysRevLett.95.105701	journal	September 2005
Quenching through Dirac and semi-Dirac points in optical lattices: Kibble-Zurek scaling for anisotropic quantum critical systems Dutta, Amit; Singh, R. R. P.; Divakaran, Uma EPL (Europhysics Letters), Vol. 89, Issue 6 https://doi.org/10.1209/0295-5075/89/67001	journal	March 2010
Quench dynamics and defect production in the Kitaev and extended Kitaev models Mondal, Shreyoshi; Sen, Diptiman; Sengupta, K. Physical Review B, Vol. 78, Issue 4 https://doi.org/10.1103/PhysRevB.78.045101	journal	July 2008
Breaking symmetry, breaking ground Hindmarsh, Mark Journal of Physics A: Mathematical and Theoretical, Vol. 49, Issue 41 https://doi.org/10.1088/1751-8113/49/41/411001	journal	September 2016
Critical dynamics of spontaneous symmetry breaking in a homogeneous Bose gas Navon, N.; Gaunt, A. L.; Smith, R. P. Science, Vol. 347, Issue 6218 https://doi.org/10.1126/science.1258676	journal	January 2015
Solitons as the Early Stage of Quasicondensate Formation during Evaporative Cooling Witkowska, E.; Deuar, P.; Gajda, M. Physical Review Letters, Vol. 106, Issue 13 https://doi.org/10.1103/PhysRevLett.106.135301	journal	March 2011
Dynamics of a quantum phase transition and relaxation to a steady state Dziarmaga, Jacek Advances in Physics, Vol. 59, Issue 6 https://doi.org/10.1080/00018732.2010.514702	journal	September 2010
Density of Kinks after a Quench: When Symmetry Breaks, How Big are the Pieces? Laguna, Pablo; Zurek, Wojciech Hubert Physical Review Letters, Vol. 78, Issue 13 https://doi.org/10.1103/PhysRevLett.78.2519	journal	March 1997
Spontaneous nucleation of structural defects in inhomogeneous ion chains Chiara, Gabriele De; Campo, Adolfo del; Morigi, Giovanna New Journal of Physics, Vol. 12, Issue 11 https://doi.org/10.1088/1367-2630/12/11/115003	journal	November 2010
Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose–Einstein condensate Sadler, L. E.; Higbie, J. M.; Leslie, S. R. Nature, Vol. 443, Issue 7109 https://doi.org/10.1038/nature05094	journal	September 2006
Probing the Bose glass–superfluid transition using quantum quenches of disorder Meldgin, Carolyn; Ray, Ushnish; Russ, Philip Nature Physics, Vol. 12, Issue 7 https://doi.org/10.1038/nphys3695	journal	March 2016
The Simplest Quantum Model Supporting the Kibble-Zurek Mechanism of Topological Defect Production: Landau-Zener Transitions from a New Perspective Damski, Bogdan Physical Review Letters, Vol. 95, Issue 3 https://doi.org/10.1103/PhysRevLett.95.035701	journal	July 2005
Topology of cosmic domains and strings Kibble, T. W. B. Journal of Physics A: Mathematical and General, Vol. 9, Issue 8 https://doi.org/10.1088/0305-4470/9/8/029	journal	August 1976
Topological defect formation and spontaneous symmetry breaking in ion Coulomb crystals Pyka, K.; Keller, J.; Partner, H. L. Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms3291	journal	August 2013
Observation of the Kibble–Zurek scaling law for defect formation in ion crystals Ulm, S.; Roßnagel, J.; Jacob, G. Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms3290	journal	August 2013
Quantum phase transition in space in a ferromagnetic spin-1 Bose–Einstein condensate Damski, Bogdan; Zurek, Wojciech H. New Journal of Physics, Vol. 11, Issue 6 https://doi.org/10.1088/1367-2630/11/6/063014	journal	June 2009
Spontaneous fluxoid formation in superconducting loops Monaco, R.; Mygind, J.; Rivers, R. J. Physical Review B, Vol. 80, Issue 18 https://doi.org/10.1103/PhysRevB.80.180501	journal	November 2009
Ordering, metastability and phase transitions in two-dimensional systems Kosterlitz, J M; Thouless, D J Journal of Physics C: Solid State Physics, Vol. 6, Issue 7, p. 1181-1203 https://doi.org/10.1088/0022-3719/6/7/010	journal	April 1973
Out-of-equilibrium dynamics with matrix product states Wall, M. L.; Carr, Lincoln D. New Journal of Physics, Vol. 14, Issue 12 https://doi.org/10.1088/1367-2630/14/12/125015	journal	December 2012
Winding Up of the Wave-Function Phase by an Insulator-to-Superfluid Transition in a Ring of Coupled Bose-Einstein Condensates Dziarmaga, Jacek; Meisner, Jakub; Zurek, Wojciech H. Physical Review Letters, Vol. 101, Issue 11 https://doi.org/10.1103/PhysRevLett.101.115701	journal	September 2008
Vortex formation in neutron-irradiated superfluid 3He as an analogue of cosmological defect formation Ruutu, V. M. H.; Eltsov, V. B.; Gill, A. J. Nature, Vol. 382, Issue 6589 https://doi.org/10.1038/382334a0	journal	July 1996
Structural Defects in Ion Chains by Quenching the External Potential: The Inhomogeneous Kibble-Zurek Mechanism del Campo, A.; De Chiara, G.; Morigi, Giovanna Physical Review Letters, Vol. 105, Issue 7 https://doi.org/10.1103/PhysRevLett.105.075701	journal	August 2010
Symmetry Breaking with a Slant: Topological Defects after an Inhomogeneous Quench Dziarmaga, Jacek; Laguna, Pablo; Zurek, Wojciech H. Physical Review Letters, Vol. 82, Issue 24 https://doi.org/10.1103/PhysRevLett.82.4749	journal	June 1999
Universal far-from-equilibrium dynamics of a holographic superconductor Sonner, Julian; del Campo, Adolfo; Zurek, Wojciech H. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms8406	journal	June 2015
Ginzburg regime and its effects on topological defect formation Bettencourt, Luís M. A.; Antunes, Nuno D.; Zurek, W. H. Physical Review D, Vol. 62, Issue 6 https://doi.org/10.1103/PhysRevD.62.065005	journal	August 2000
Some implications of a cosmological phase transition Kibble, T. W. B. Physics Reports, Vol. 67, Issue 1 https://doi.org/10.1016/0370-1573(80)90091-5	journal	December 1980
Effects of interference in the dynamics of a spin- 1/2 transverse XY chain driven periodically through quantum critical points Mukherjee, Victor; Dutta, Amit Journal of Statistical Mechanics: Theory and Experiment, Vol. 2009, Issue 05 https://doi.org/10.1088/1742-5468/2009/05/P05005	journal	May 2009
Laboratory simulation of cosmic string formation in the early Universe using superfluid 3He Bäuerle, C.; Bunkov, Yu. M.; Fisher, S. N. Nature, Vol. 382, Issue 6589 https://doi.org/10.1038/382332a0	journal	July 1996
Critical dynamics of decoherence Damski, Bogdan; Quan, H. T.; Zurek, Wojciech H. Physical Review A, Vol. 83, Issue 6 https://doi.org/10.1103/PhysRevA.83.062104	journal	June 2011
Defect generation in a spin- $\frac{1}{2}$ transverse $X Y$ chain under repeated quenching of the transverse field Mukherjee, Victor; Dutta, Amit; Sen, Diptiman Physical Review B, Vol. 77, Issue 21 https://doi.org/10.1103/PhysRevB.77.214427	journal	June 2008
Cosmology in the Laboratory: Defect Dynamics in Liquid Crystals Chuang, I.; Durrer, R.; Turok, N. Science, Vol. 251, Issue 4999 https://doi.org/10.1126/science.251.4999.1336	journal	March 1991
Observation of Magnetic Flux Generated Spontaneously During a Rapid Quench of Superconducting Films Maniv, A.; Polturak, E.; Koren, G. Physical Review Letters, Vol. 91, Issue 19 https://doi.org/10.1103/PhysRevLett.91.197001	journal	November 2003
Soliton Creation During a Bose-Einstein Condensation Damski, Bogdan; Zurek, Wojciech H. Physical Review Letters, Vol. 104, Issue 16 https://doi.org/10.1103/PhysRevLett.104.160404	journal	April 2010
Exploring the Kibble–Zurek mechanism with homogeneous Bose gases Beugnon, Jérôme; Navon, Nir Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 50, Issue 2 https://doi.org/10.1088/1361-6455/50/2/022002	journal	January 2017
Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking Campo, Adolfo Del; Zurek, Wojciech H. Symmetry and Fundamental Physics: Tom Kibble at 80 https://doi.org/10.1142/9789814583060_0002	conference	February 2014
Scaling Behaviour and Beyond Equilibrium in the Hexagonal Manganites Griffin, Sinéad M.; Lilienblum, Martin; Delaney, Kris T. ETH Zurich https://doi.org/10.3929/ethz-b-000059795	text	January 2012
Exact results for quench dynamics and defect production in a two-dimensional model Sengupta, K.; Sen, Diptiman; Mondal, Shreyoshi arXiv https://doi.org/10.48550/arxiv.0710.1712	text	January 2007
Quench dynamics and defect production in the Kitaev and extended Kitaev models Mondal, Shreyoshi; Sen, Diptiman; Sengupta, K. arXiv https://doi.org/10.48550/arxiv.0802.3986	text	January 2008
Defect production due to quenching through a multicritical point Divakaran, Uma; Mukherjee, Victor; Dutta, Amit arXiv https://doi.org/10.48550/arxiv.0807.3606	text	January 2008
Reverse quenching in a one-dimensional Kitaev model Divakaran, Uma; Dutta, Amit arXiv https://doi.org/10.48550/arxiv.0901.3260	text	January 2009
Soliton creation during a Bose-Einstein condensation Damski, Bogdan; Zurek, Wojciech H. arXiv https://doi.org/10.48550/arxiv.0909.0761	text	January 2009
Non-linear electric transport in graphene: quantum quench dynamics and the Schwinger mechanism Dóra, Balázs; Moessner, Roderich arXiv https://doi.org/10.48550/arxiv.0909.2528	text	January 2009
Quenching through Dirac and semi-Dirac points in optical Lattices: Kibble-Zurek scaling for anisotropic Quantum-Critical systems Dutta, Amit; Singh, R. R. P.; Divakaran, Uma arXiv https://doi.org/10.48550/arxiv.0910.3896	text	January 2009
Winding up superfluid in a torus via Bose Einstein condensation Das, Arnab; Sabbatini, Jacopo; Zurek, Wojciech H. arXiv https://doi.org/10.48550/arxiv.1102.5474	text	January 2011
Quantum Quench of an Atomic Mott Insulator Chen, D.; White, M.; Borries, C. arXiv https://doi.org/10.48550/arxiv.1103.4662	text	January 2011
Exploring Symmetry Breaking at the Dicke Quantum Phase Transition Baumann, K.; Mottl, R.; Brennecke, F. arXiv https://doi.org/10.48550/arxiv.1105.0426	text	January 2011
Formation of helical ion chains Nigmatullin, Ramil; del Campo, Adolfo; De Chiara, Gabriele arXiv https://doi.org/10.48550/arxiv.1112.1305	text	January 2011
Trapping of Topological-Structural Defects in Coulomb Crystals Mielenz, M.; Landa, H.; Brox, J. arXiv https://doi.org/10.48550/arxiv.1211.6867	text	January 2012
Causality and non-equilibrium second-order phase transitions in inhomogeneous systems del Campo, A.; Kibble, T. W. B.; Zurek, W. H. arXiv https://doi.org/10.48550/arxiv.1302.3648	text	January 2013
Observation of the Kibble-Zurek scaling law for defect formation in ion crystals Ulm, S.; Roßnagel, J.; Jacob, G. arXiv https://doi.org/10.48550/arxiv.1302.5343	text	January 2013
Spontaneous creation of Kibble-Zurek solitons in a Bose-Einstein condensate Lamporesi, Giacomo; Donadello, Simone; Serafini, Simone arXiv https://doi.org/10.48550/arxiv.1306.4523	text	January 2013
Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking del Campo, Adolfo; Zurek, Wojciech H. arXiv https://doi.org/10.48550/arxiv.1310.1600	text	January 2013
Emergence of coherence and the dynamics of quantum phase transitions Braun, S.; Friesdorf, M.; Hodgman, S. S. arXiv https://doi.org/10.48550/arxiv.1403.7199	text	January 2014
Universal far-from-equilibrium Dynamics of a Holographic Superconductor Sonner, Julian; del Campo, Adolfo; Zurek, Wojciech H. arXiv https://doi.org/10.48550/arxiv.1406.2329	text	January 2014
Quench-induced supercurrents in an annular Bose gas Corman, Laura; Chomaz, Lauriane; Bienaimé, Tom arXiv https://doi.org/10.48550/arxiv.1406.4073	text	January 2014
Probing the Bose-Glass--Superfluid Transition using Quantum Quenches of Disorder Meldgin, C.; Ray, U.; Russ, P. arXiv https://doi.org/10.48550/arxiv.1502.02333	text	January 2015
Thermodynamic universality of quantum Carnot engines Gardas, Bartłomiej; Deffner, Sebastian arXiv https://doi.org/10.48550/arxiv.1503.03455	text	January 2015
Topological defects as relics of emergent continuous symmetry and Higgs condensation of disorder in ferroelectrics Lin, Shi-Zeng; Wang, Xueyun; Kamiya, Yoshitomo arXiv https://doi.org/10.48550/arxiv.1506.05021	text	January 2015
Exploring the Kibble-Zurek mechanism with homogeneous Bose gases Beugnon, J.; Navon, N. arXiv https://doi.org/10.48550/arxiv.1611.01145	text	January 2016
Breaking symmetry, breaking ground Hindmarsh, Mark arXiv https://doi.org/10.48550/arxiv.1612.03192	text	January 2016
Zurek-Kibble domain structures: The Dynamics of Spontaneous Vortex formation in Annular Josephson Tunnel Junctions Monaco, R.; Mygind, J.; Rivers, R. arXiv https://doi.org/10.48550/arxiv.cond-mat/0112321	text	January 2001
Dynamics of a Quantum Phase Transition Zurek, Wojciech H.; Dorner, Uwe; Zoller, Peter arXiv https://doi.org/10.48550/arxiv.cond-mat/0503511	text	January 2005
Dynamics of quantum phase transition: exact solution in quantum Ising model Dziarmaga, Jacek arXiv https://doi.org/10.48550/arxiv.cond-mat/0509490	text	January 2005
Berezinskii-Kosterlitz-Thouless Crossover in a Trapped Atomic Gas Hadzibabic, Zoran; Krüger, Peter; Cheneau, Marc arXiv https://doi.org/10.48550/arxiv.cond-mat/0605291	text	January 2006
Density of kinks after a quench: When symmetry breaks, how big are the pieces? Laguna, Pablo; Zurek, Wojciech Hubert arXiv https://doi.org/10.48550/arxiv.gr-qc/9607041	text	January 1996
The Ginzburg regime and its effects on topological defect formation Bettencourt, L. M. A.; Antunes, Nuno D.; Zurek, W. H. arXiv https://doi.org/10.48550/arxiv.hep-ph/0001205	text	January 2000
Vortex String Formation in a 3D U(1) Temperature Quench Antunes, Nuno D.; Bettencourt, Luis M. A.; Zurek, Wojciech H. arXiv https://doi.org/10.48550/arxiv.hep-ph/9811426	text	January 1998

Cited By (5)

Kibble-Zurek scaling of the one-dimensional Bose-Hubbard model at finite temperatures Weiss, Werner; Gerster, Matthias; Jaschke, Daniel Physical Review A, Vol. 98, Issue 6 https://doi.org/10.1103/physreva.98.063601	journal	December 2018
Quantum caustics and the hierarchy of light cones in quenched spin chains Kirkby, W.; Mumford, J.; O'Dell, D. H. J. Physical Review Research, Vol. 1, Issue 3 https://doi.org/10.1103/physrevresearch.1.033135	journal	November 2019
The Tensor Networks Anthology: Simulation techniques for many-body quantum lattice systems Silvi, Pietro; Tschirsich, Ferdinand; Gerster, Matthias SciPost Physics Lecture Notes https://doi.org/10.21468/scipostphyslectnotes.8	journal	March 2019
The Tensor Networks Anthology: Simulation techniques for many-body quantum lattice systems Silvi, Pietro; Tschirsich, Ferdinand; Gerster, Matthias arXiv https://doi.org/10.48550/arxiv.1710.03733	text	January 2017
Floquet Engineering in Quantum Chains Kennes, D. M.; de la Torre, A.; Ron, A. arXiv https://doi.org/10.48550/arxiv.1801.06885	text	January 2018

Similar Records

Quench in the 1D Bose-Hubbard model: Topological defects and excitations from the Kosterlitz-Thouless phase transition dynamics

Journal Article · Tue Aug 05 00:00:00 EDT 2014 · Scientific Reports · OSTI ID:1412858

Dziarmaga, Jacek; Zurek, Wojciech H.

Ring of BEC pools as a trap for persistent flow

Journal Article · Thu Sep 01 00:00:00 EDT 2011 · Physical Review. B, Condensed Matter and Materials Physics · OSTI ID:1412858

Dziarmaga, Jacek; Tylutki, Marek; Zurek, Wojciech H

Quench from Mott Insulator to Superfluid

Technical Report · Fri Jun 01 00:00:00 EDT 2012 · OSTI ID:1412858

Zurek, Wojciech H.; Dziarmaga, Jacek; Tylutki, Marek

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY

Title: Dynamics of the quantum phase transition in the one-dimensional Bose-Hubbard model: Excitations and correlations induced by a quench

Citation Formats

References (127)

Cited By (5)

Similar Records

Related Subjects