Dynamics of the quantum phase transition in the one-dimensional Bose-Hubbard model: Excitations and correlations induced by a quench
Abstract
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.
- Authors:
-
- 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)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1412858
- Alternate Identifier(s):
- OSTI ID: 1349957
- Report Number(s):
- LA-UR-16-29379
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US1800376
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 95; Journal Issue: 10; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Gardas, Bartłomiej, Dziarmaga, Jacek, and Zurek, Wojciech H. Dynamics of the quantum phase transition in the one-dimensional Bose-Hubbard model: Excitations and correlations induced by a quench. United States: N. p., 2017.
Web. doi:10.1103/PhysRevB.95.104306.
Gardas, Bartłomiej, Dziarmaga, Jacek, & Zurek, Wojciech H. Dynamics of the quantum phase transition in the one-dimensional Bose-Hubbard model: Excitations and correlations induced by a quench. United States. https://doi.org/10.1103/PhysRevB.95.104306
Gardas, Bartłomiej, Dziarmaga, Jacek, and Zurek, Wojciech H. Fri .
"Dynamics of the quantum phase transition in the one-dimensional Bose-Hubbard model: Excitations and correlations induced by a quench". United States. https://doi.org/10.1103/PhysRevB.95.104306. https://www.osti.gov/servlets/purl/1412858.
@article{osti_1412858,
title = {Dynamics of the quantum phase transition in the one-dimensional Bose-Hubbard model: Excitations and correlations induced by a quench},
author = {Gardas, Bartłomiej and Dziarmaga, Jacek and Zurek, Wojciech H.},
abstractNote = {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.},
doi = {10.1103/PhysRevB.95.104306},
journal = {Physical Review B},
number = 10,
volume = 95,
place = {United States},
year = {Fri Mar 24 00:00:00 EDT 2017},
month = {Fri Mar 24 00:00:00 EDT 2017}
}
Web of Science
Works referenced in this record:
Emergence of coherence via transverse condensation in a uniform quasi-two-dimensional Bose gas
journal, January 2015
- Chomaz, Lauriane; Corman, Laura; Bienaimé, Tom
- Nature Communications, Vol. 6, Issue 1
Berezinskii–Kosterlitz–Thouless crossover in a trapped atomic gas
journal, June 2006
- Hadzibabic, Zoran; Krüger, Peter; Cheneau, Marc
- Nature, Vol. 441, Issue 7097
Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions
journal, December 2008
- Deng, S.; Ortiz, G.; Viola, L.
- EPL (Europhysics Letters), Vol. 84, Issue 6
Kibble-Zurek problem: Universality and the scaling limit
journal, August 2012
- Chandran, Anushya; Erez, Amir; Gubser, Steven S.
- Physical Review B, Vol. 86, Issue 6
Dynamics of a Quantum Phase Transition: Exact Solution of the Quantum Ising Model
journal, December 2005
- Dziarmaga, Jacek
- Physical Review Letters, Vol. 95, Issue 24
Thermodynamic universality of quantum Carnot engines
journal, October 2015
- Gardas, Bartłomiej; Deffner, Sebastian
- Physical Review E, Vol. 92, Issue 4
Cosmological experiments in condensed matter systems
journal, November 1996
- Zurek, W. H.
- Physics Reports, Vol. 276, Issue 4
Experimental Trapped-ion Quantum Simulation of the Kibble-Zurek dynamics in momentum space
journal, September 2016
- Cui, Jin-Ming; Huang, Yun-Feng; Wang, Zhao
- Scientific Reports, Vol. 6, Issue 1
Trapping of Topological-Structural Defects in Coulomb Crystals
journal, March 2013
- Mielenz, M.; Brox, J.; Kahra, S.
- Physical Review Letters, Vol. 110, Issue 13
Quench dynamics of the 2d XY model
journal, February 2011
- Jelić, Asja; Cugliandolo, Leticia F.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2011, Issue 02
Dynamics of the Bose-Hubbard model: Transition from a Mott insulator to a superfluid
journal, February 2007
- Cucchietti, Fernando M.; Damski, Bogdan; Dziarmaga, Jacek
- Physical Review A, Vol. 75, Issue 2
Cooling dynamics of pure and random Ising chains
journal, March 2009
- Suzuki, Sei
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2009, Issue 03
Kibble-Zurek mechanism in a quenched ferromagnetic Bose-Einstein condensate
journal, October 2007
- Saito, Hiroki; Kawaguchi, Yuki; Ueda, Masahito
- Physical Review A, Vol. 76, Issue 4
Formation of helical ion chains
journal, January 2016
- Nigmatullin, R.; del Campo, A.; De Chiara, G.
- Physical Review B, Vol. 93, Issue 1
The Cosmological Kibble Mechanism in the Laboratory: String Formation in Liquid Crystals
journal, February 1994
- Bowick, M. J.; Chandar, L.; Schiff, E. A.
- Science, Vol. 263, Issue 5149
Quench-Induced Supercurrents in an Annular Bose Gas
journal, September 2014
- Corman, L.; Chomaz, L.; Bienaimé, T.
- Physical Review Letters, Vol. 113, Issue 13
Colloquium : Nonequilibrium dynamics of closed interacting quantum systems
journal, August 2011
- Polkovnikov, Anatoli; Sengupta, Krishnendu; Silva, Alessandro
- Reviews of Modern Physics, Vol. 83, Issue 3
Space and time renormalization in phase transition dynamics
journal, February 2016
- Francuz, Anna; Dziarmaga, Jacek; Gardas, Bartłomiej
- Physical Review B, Vol. 93, Issue 7
Nonlinear electric transport in graphene: Quantum quench dynamics and the Schwinger mechanism
journal, April 2010
- Dóra, Balázs; Moessner, Roderich
- Physical Review B, Vol. 81, Issue 16
Quench in the 1D Bose-Hubbard model: Topological defects and excitations from the Kosterlitz-Thouless phase transition dynamics
journal, August 2014
- Dziarmaga, Jacek; Zurek, Wojciech H.
- Scientific Reports, Vol. 4, Issue 1
Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
journal, May 2007
- Cincio, Lukasz; Dziarmaga, Jacek; Rams, Marek M.
- Physical Review A, Vol. 75, Issue 5
Exploring Symmetry Breaking at the Dicke Quantum Phase Transition
journal, September 2011
- Baumann, K.; Mottl, R.; Brennecke, F.
- Physical Review Letters, Vol. 107, Issue 14
Direct Observation of the Proliferation of Ferroelectric Loop Domains and Vortex-Antivortex Pairs
journal, April 2012
- Chae, S. C.; Lee, N.; Horibe, Y.
- Physical Review Letters, Vol. 108, Issue 16
Emergence of coherence and the dynamics of quantum phase transitions
journal, March 2015
- Braun, Simon; Friesdorf, Mathis; Hodgman, Sean S.
- Proceedings of the National Academy of Sciences
Topological relics of symmetry breaking: winding numbers and scaling tilts from random vortex–antivortex pairs
journal, September 2013
- Zurek, W. H.
- Journal of Physics: Condensed Matter, Vol. 25, Issue 40
Phase-transition dynamics in the lab and the universe
journal, September 2007
- Kibble, Tom
- Physics Today, Vol. 60, Issue 9
Spontaneous vortices in the formation of Bose–Einstein condensates
journal, October 2008
- Weiler, Chad N.; Neely, Tyler W.; Scherer, David R.
- Nature, Vol. 455, Issue 7215
Quenching dynamics of a quantum spin- chain in a transverse field
journal, November 2007
- Mukherjee, Victor; Divakaran, Uma; Dutta, Amit
- Physical Review B, Vol. 76, Issue 17
Nonequilibrium Dynamic Critical Scaling of the Quantum Ising Chain
journal, July 2012
- Kolodrubetz, Michael; Clark, Bryan K.; Huse, David A.
- Physical Review Letters, Vol. 109, Issue 1
Landau-Zener problem with waiting at the minimum gap and related quench dynamics of a many-body system
journal, February 2010
- Divakaran, Uma; Dutta, Amit; Sen, Diptiman
- Physical Review B, Vol. 81, Issue 5
Adiabatic dynamics in passage across quantum critical lines and gapless phases
journal, January 2010
- Chowdhury, Debanjan; Divakaran, Uma; Dutta, Amit
- Physical Review E, Vol. 81, Issue 1
Dynamics of an inhomogeneous quantum phase transition
journal, May 2010
- Dziarmaga, Jacek; Rams, Marek M.
- New Journal of Physics, Vol. 12, Issue 5
Defect Formation beyond Kibble-Zurek Mechanism and Holography
journal, May 2015
- Chesler, Paul M.; García-García, Antonio M.; Liu, Hong
- Physical Review X, Vol. 5, Issue 2
Dynamics of Quantum Phase Transition in an Array of Josephson Junctions
journal, April 2002
- Dziarmaga, J.; Smerzi, A.; Zurek, W. H.
- Physical Review Letters, Vol. 88, Issue 16
Zurek-Kibble Domain Structures: The Dynamics of Spontaneous Vortex Formation in Annular Josephson Tunnel Junctions
journal, August 2002
- Monaco, R.; Mygind, J.; Rivers, R. J.
- Physical Review Letters, Vol. 89, Issue 8
Universality of phase transition dynamics: Topological defects from symmetry breaking
journal, March 2014
- del Campo, Adolfo; Zurek, Wojciech H.
- International Journal of Modern Physics A, Vol. 29, Issue 08
Vortex String Formation in a 3D U(1) Temperature Quench
journal, April 1999
- Antunes, Nuno D.; Bettencourt, Luís M. A.; Zurek, Wojciech H.
- Physical Review Letters, Vol. 82, Issue 14
Exact Results for Quench Dynamics and Defect Production in a Two-Dimensional Model
journal, February 2008
- Sengupta, K.; Sen, Diptiman; Mondal, Shreyoshi
- Physical Review Letters, Vol. 100, Issue 7
Kosterlitz-Thouless Transition in Proximity-Coupled Superconducting Arrays
journal, November 1981
- Resnick, D. J.; Garland, J. C.; Boyd, J. T.
- Physical Review Letters, Vol. 47, Issue 21
Excitation energy after a smooth quench in a Luttinger liquid
journal, December 2011
- Dziarmaga, Jacek; Tylutki, Marek
- Physical Review B, Vol. 84, Issue 21
Spontaneous creation of Kibble–Zurek solitons in a Bose–Einstein condensate
journal, September 2013
- Lamporesi, Giacomo; Donadello, Simone; Serafini, Simone
- Nature Physics, Vol. 9, Issue 10
Universal space-time scaling symmetry in the dynamics of bosons across a quantum phase transition
journal, November 2016
- Clark, L. W.; Feng, L.; Chin, C.
- Science, Vol. 354, Issue 6312
Defect production due to quenching through a multicritical point
journal, February 2009
- Divakaran, Uma; Mukherjee, Victor; Dutta, Amit
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2009, Issue 02
Quantum Kibble-Zurek Mechanism in a Spin-1 Bose-Einstein Condensate
journal, April 2016
- Anquez, M.; Robbins, B. A.; Bharath, H. M.
- Physical Review Letters, Vol. 116, Issue 15
Evidence for Long-Range Correlations within Arrays of Spontaneously Created Magnetic Vortices in a Nb Thin-Film Superconductor
journal, June 2010
- Golubchik, Daniel; Polturak, Emil; Koren, Gad
- Physical Review Letters, Vol. 104, Issue 24
Scaling Behavior and Beyond Equilibrium in the Hexagonal Manganites
journal, December 2012
- Griffin, S. M.; Lilienblum, M.; Delaney, K. T.
- Physical Review X, Vol. 2, Issue 4
Causality and non-equilibrium second-order phase transitions in inhomogeneous systems
journal, September 2013
- del Campo, A.; Kibble, T. W. B.; Zurek, W. H.
- Journal of Physics: Condensed Matter, Vol. 25, Issue 40
Universal adiabatic dynamics in the vicinity of a quantum critical point
journal, October 2005
- Polkovnikov, Anatoli
- Physical Review B, Vol. 72, Issue 16
Cosmological experiments in superfluid helium?
journal, October 1985
- Zurek, W. H.
- Nature, Vol. 317, Issue 6037
Winding up superfluid in a torus via Bose Einstein condensation
journal, April 2012
- Das, Arnab; Sabbatini, Jacopo; Zurek, Wojciech H.
- Scientific Reports, Vol. 2, Issue 1
Causality in Condensates: Gray Solitons as Relics of BEC Formation
journal, March 2009
- Zurek, Wojciech H.
- Physical Review Letters, Vol. 102, Issue 10
Vortex Formation in Two Dimensions: When Symmetry Breaks, How Big Are the Pieces?
journal, June 1998
- Yates, Andrew; Zurek, Wojciech H.
- Physical Review Letters, Vol. 80, Issue 25
Spontaneous nucleation and dynamics of kink defects in zigzag arrays of trapped ions
journal, May 2013
- Ejtemaee, S.; Haljan, P. C.
- Physical Review A, Vol. 87, Issue 5
Reverse quenching in a one-dimensional Kitaev model
journal, June 2009
- Divakaran, Uma; Dutta, Amit
- Physical Review B, Vol. 79, Issue 22
Quantum thermodynamics of general quantum processes
journal, March 2015
- Binder, Felix; Vinjanampathy, Sai; Modi, Kavan
- Physical Review E, Vol. 91, Issue 3
Topological defects as relics of emergent continuous symmetry and Higgs condensation of disorder in ferroelectrics
journal, November 2014
- Lin, Shi-Zeng; Wang, Xueyun; Kamiya, Yoshitomo
- Nature Physics, Vol. 10, Issue 12
Quantum Quench of an Atomic Mott Insulator
journal, June 2011
- Chen, David; White, Matthew; Borries, Cecilia
- Physical Review Letters, Vol. 106, Issue 23
Kibble–Zurek mechanism in colloidal monolayers
journal, April 2015
- Deutschländer, Sven; Dillmann, Patrick; Maret, Georg
- Proceedings of the National Academy of Sciences, Vol. 112, Issue 22
Quenching along a gapless line: A different exponent for defect density
journal, October 2008
- Divakaran, Uma; Dutta, Amit; Sen, Diptiman
- Physical Review B, Vol. 78, Issue 14
Observation of Spontaneous Flux Generation in a Multi-Josephson-Junction Loop
journal, May 2000
- Carmi, Raz; Polturak, Emil; Koren, Gad
- Physical Review Letters, Vol. 84, Issue 21
Dynamics of a Quantum Phase Transition
journal, September 2005
- Zurek, Wojciech H.; Dorner, Uwe; Zoller, Peter
- Physical Review Letters, Vol. 95, Issue 10
Quenching through Dirac and semi-Dirac points in optical lattices: Kibble-Zurek scaling for anisotropic quantum critical systems
journal, March 2010
- Dutta, Amit; Singh, R. R. P.; Divakaran, Uma
- EPL (Europhysics Letters), Vol. 89, Issue 6
Quench dynamics and defect production in the Kitaev and extended Kitaev models
journal, July 2008
- Mondal, Shreyoshi; Sen, Diptiman; Sengupta, K.
- Physical Review B, Vol. 78, Issue 4
Breaking symmetry, breaking ground
journal, September 2016
- Hindmarsh, Mark
- Journal of Physics A: Mathematical and Theoretical, Vol. 49, Issue 41
Critical dynamics of spontaneous symmetry breaking in a homogeneous Bose gas
journal, January 2015
- Navon, N.; Gaunt, A. L.; Smith, R. P.
- Science, Vol. 347, Issue 6218
Solitons as the Early Stage of Quasicondensate Formation during Evaporative Cooling
journal, March 2011
- Witkowska, E.; Deuar, P.; Gajda, M.
- Physical Review Letters, Vol. 106, Issue 13
Dynamics of a quantum phase transition and relaxation to a steady state
journal, September 2010
- Dziarmaga, Jacek
- Advances in Physics, Vol. 59, Issue 6
Density of Kinks after a Quench: When Symmetry Breaks, How Big are the Pieces?
journal, March 1997
- Laguna, Pablo; Zurek, Wojciech Hubert
- Physical Review Letters, Vol. 78, Issue 13
Spontaneous nucleation of structural defects in inhomogeneous ion chains
journal, November 2010
- Chiara, Gabriele De; Campo, Adolfo del; Morigi, Giovanna
- New Journal of Physics, Vol. 12, Issue 11
Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose–Einstein condensate
journal, September 2006
- Sadler, L. E.; Higbie, J. M.; Leslie, S. R.
- Nature, Vol. 443, Issue 7109
Probing the Bose glass–superfluid transition using quantum quenches of disorder
journal, March 2016
- Meldgin, Carolyn; Ray, Ushnish; Russ, Philip
- Nature Physics, Vol. 12, Issue 7
The Simplest Quantum Model Supporting the Kibble-Zurek Mechanism of Topological Defect Production: Landau-Zener Transitions from a New Perspective
journal, July 2005
- Damski, Bogdan
- Physical Review Letters, Vol. 95, Issue 3
Topology of cosmic domains and strings
journal, August 1976
- Kibble, T. W. B.
- Journal of Physics A: Mathematical and General, Vol. 9, Issue 8
Topological defect formation and spontaneous symmetry breaking in ion Coulomb crystals
journal, August 2013
- Pyka, K.; Keller, J.; Partner, H. L.
- Nature Communications, Vol. 4, Issue 1
Observation of the Kibble–Zurek scaling law for defect formation in ion crystals
journal, August 2013
- Ulm, S.; Roßnagel, J.; Jacob, G.
- Nature Communications, Vol. 4, Issue 1
Quantum phase transition in space in a ferromagnetic spin-1 Bose–Einstein condensate
journal, June 2009
- Damski, Bogdan; Zurek, Wojciech H.
- New Journal of Physics, Vol. 11, Issue 6
Spontaneous fluxoid formation in superconducting loops
journal, November 2009
- Monaco, R.; Mygind, J.; Rivers, R. J.
- Physical Review B, Vol. 80, Issue 18
Ordering, metastability and phase transitions in two-dimensional systems
journal, April 1973
- Kosterlitz, J M; Thouless, D J
- Journal of Physics C: Solid State Physics, Vol. 6, Issue 7, p. 1181-1203
Out-of-equilibrium dynamics with matrix product states
journal, December 2012
- Wall, M. L.; Carr, Lincoln D.
- New Journal of Physics, Vol. 14, Issue 12
Winding Up of the Wave-Function Phase by an Insulator-to-Superfluid Transition in a Ring of Coupled Bose-Einstein Condensates
journal, September 2008
- Dziarmaga, Jacek; Meisner, Jakub; Zurek, Wojciech H.
- Physical Review Letters, Vol. 101, Issue 11
Vortex formation in neutron-irradiated superfluid 3He as an analogue of cosmological defect formation
journal, July 1996
- Ruutu, V. M. H.; Eltsov, V. B.; Gill, A. J.
- Nature, Vol. 382, Issue 6589
Structural Defects in Ion Chains by Quenching the External Potential: The Inhomogeneous Kibble-Zurek Mechanism
journal, August 2010
- del Campo, A.; De Chiara, G.; Morigi, Giovanna
- Physical Review Letters, Vol. 105, Issue 7
Symmetry Breaking with a Slant: Topological Defects after an Inhomogeneous Quench
journal, June 1999
- Dziarmaga, Jacek; Laguna, Pablo; Zurek, Wojciech H.
- Physical Review Letters, Vol. 82, Issue 24
Universal far-from-equilibrium dynamics of a holographic superconductor
journal, June 2015
- Sonner, Julian; del Campo, Adolfo; Zurek, Wojciech H.
- Nature Communications, Vol. 6, Issue 1
Ginzburg regime and its effects on topological defect formation
journal, August 2000
- Bettencourt, Luís M. A.; Antunes, Nuno D.; Zurek, W. H.
- Physical Review D, Vol. 62, Issue 6
Some implications of a cosmological phase transition
journal, December 1980
- Kibble, T. W. B.
- Physics Reports, Vol. 67, Issue 1
Effects of interference in the dynamics of a spin- 1/2 transverse XY chain driven periodically through quantum critical points
journal, May 2009
- Mukherjee, Victor; Dutta, Amit
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2009, Issue 05
Laboratory simulation of cosmic string formation in the early Universe using superfluid 3He
journal, July 1996
- Bäuerle, C.; Bunkov, Yu. M.; Fisher, S. N.
- Nature, Vol. 382, Issue 6589
Critical dynamics of decoherence
journal, June 2011
- Damski, Bogdan; Quan, H. T.; Zurek, Wojciech H.
- Physical Review A, Vol. 83, Issue 6
Defect generation in a spin- transverse chain under repeated quenching of the transverse field
journal, June 2008
- Mukherjee, Victor; Dutta, Amit; Sen, Diptiman
- Physical Review B, Vol. 77, Issue 21
Cosmology in the Laboratory: Defect Dynamics in Liquid Crystals
journal, March 1991
- Chuang, I.; Durrer, R.; Turok, N.
- Science, Vol. 251, Issue 4999
Observation of Magnetic Flux Generated Spontaneously During a Rapid Quench of Superconducting Films
journal, November 2003
- Maniv, A.; Polturak, E.; Koren, G.
- Physical Review Letters, Vol. 91, Issue 19
Soliton Creation During a Bose-Einstein Condensation
journal, April 2010
- Damski, Bogdan; Zurek, Wojciech H.
- Physical Review Letters, Vol. 104, Issue 16
Exploring the Kibble–Zurek mechanism with homogeneous Bose gases
journal, January 2017
- Beugnon, Jérôme; Navon, Nir
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 50, Issue 2
Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
conference, February 2014
- Campo, Adolfo Del; Zurek, Wojciech H.
- Symmetry and Fundamental Physics: Tom Kibble at 80
Scaling Behaviour and Beyond Equilibrium in the Hexagonal Manganites
text, January 2012
- Griffin, Sinéad M.; Lilienblum, Martin; Delaney, Kris T.
- ETH Zurich
Exact results for quench dynamics and defect production in a two-dimensional model
text, January 2007
- Sengupta, K.; Sen, Diptiman; Mondal, Shreyoshi
- arXiv
Quench dynamics and defect production in the Kitaev and extended Kitaev models
text, January 2008
- Mondal, Shreyoshi; Sen, Diptiman; Sengupta, K.
- arXiv
Defect production due to quenching through a multicritical point
text, January 2008
- Divakaran, Uma; Mukherjee, Victor; Dutta, Amit
- arXiv
Reverse quenching in a one-dimensional Kitaev model
text, January 2009
- Divakaran, Uma; Dutta, Amit
- arXiv
Soliton creation during a Bose-Einstein condensation
text, January 2009
- Damski, Bogdan; Zurek, Wojciech H.
- arXiv
Non-linear electric transport in graphene: quantum quench dynamics and the Schwinger mechanism
text, January 2009
- Dóra, Balázs; Moessner, Roderich
- arXiv
Quenching through Dirac and semi-Dirac points in optical Lattices: Kibble-Zurek scaling for anisotropic Quantum-Critical systems
text, January 2009
- Dutta, Amit; Singh, R. R. P.; Divakaran, Uma
- arXiv
Winding up superfluid in a torus via Bose Einstein condensation
text, January 2011
- Das, Arnab; Sabbatini, Jacopo; Zurek, Wojciech H.
- arXiv
Quantum Quench of an Atomic Mott Insulator
text, January 2011
- Chen, D.; White, M.; Borries, C.
- arXiv
Exploring Symmetry Breaking at the Dicke Quantum Phase Transition
text, January 2011
- Baumann, K.; Mottl, R.; Brennecke, F.
- arXiv
Formation of helical ion chains
text, January 2011
- Nigmatullin, Ramil; del Campo, Adolfo; De Chiara, Gabriele
- arXiv
Trapping of Topological-Structural Defects in Coulomb Crystals
text, January 2012
- Mielenz, M.; Landa, H.; Brox, J.
- arXiv
Causality and non-equilibrium second-order phase transitions in inhomogeneous systems
text, January 2013
- del Campo, A.; Kibble, T. W. B.; Zurek, W. H.
- arXiv
Observation of the Kibble-Zurek scaling law for defect formation in ion crystals
text, January 2013
- Ulm, S.; Roßnagel, J.; Jacob, G.
- arXiv
Spontaneous creation of Kibble-Zurek solitons in a Bose-Einstein condensate
text, January 2013
- Lamporesi, Giacomo; Donadello, Simone; Serafini, Simone
- arXiv
Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
text, January 2013
- del Campo, Adolfo; Zurek, Wojciech H.
- arXiv
Emergence of coherence and the dynamics of quantum phase transitions
text, January 2014
- Braun, S.; Friesdorf, M.; Hodgman, S. S.
- arXiv
Universal far-from-equilibrium Dynamics of a Holographic Superconductor
text, January 2014
- Sonner, Julian; del Campo, Adolfo; Zurek, Wojciech H.
- arXiv
Quench-induced supercurrents in an annular Bose gas
text, January 2014
- Corman, Laura; Chomaz, Lauriane; Bienaimé, Tom
- arXiv
Probing the Bose-Glass--Superfluid Transition using Quantum Quenches of Disorder
text, January 2015
- Meldgin, C.; Ray, U.; Russ, P.
- arXiv
Thermodynamic universality of quantum Carnot engines
text, January 2015
- Gardas, Bartłomiej; Deffner, Sebastian
- arXiv
Topological defects as relics of emergent continuous symmetry and Higgs condensation of disorder in ferroelectrics
text, January 2015
- Lin, Shi-Zeng; Wang, Xueyun; Kamiya, Yoshitomo
- arXiv
Exploring the Kibble-Zurek mechanism with homogeneous Bose gases
text, January 2016
- Beugnon, J.; Navon, N.
- arXiv
Zurek-Kibble domain structures: The Dynamics of Spontaneous Vortex formation in Annular Josephson Tunnel Junctions
text, January 2001
- Monaco, R.; Mygind, J.; Rivers, R.
- arXiv
Dynamics of a Quantum Phase Transition
text, January 2005
- Zurek, Wojciech H.; Dorner, Uwe; Zoller, Peter
- arXiv
Dynamics of quantum phase transition: exact solution in quantum Ising model
text, January 2005
- Dziarmaga, Jacek
- arXiv
Berezinskii-Kosterlitz-Thouless Crossover in a Trapped Atomic Gas
text, January 2006
- Hadzibabic, Zoran; Krüger, Peter; Cheneau, Marc
- arXiv
Density of kinks after a quench: When symmetry breaks, how big are the pieces?
text, January 1996
- Laguna, Pablo; Zurek, Wojciech Hubert
- arXiv
The Ginzburg regime and its effects on topological defect formation
text, January 2000
- Bettencourt, L. M. A.; Antunes, Nuno D.; Zurek, W. H.
- arXiv
Vortex String Formation in a 3D U(1) Temperature Quench
text, January 1998
- Antunes, Nuno D.; Bettencourt, Luis M. A.; Zurek, Wojciech H.
- arXiv
Works referencing / citing this record:
Kibble-Zurek scaling of the one-dimensional Bose-Hubbard model at finite temperatures
journal, December 2018
- Weiss, Werner; Gerster, Matthias; Jaschke, Daniel
- Physical Review A, Vol. 98, Issue 6
Quantum caustics and the hierarchy of light cones in quenched spin chains
journal, November 2019
- Kirkby, W.; Mumford, J.; O'Dell, D. H. J.
- Physical Review Research, Vol. 1, Issue 3
The Tensor Networks Anthology: Simulation techniques for many-body quantum lattice systems
journal, March 2019
- Silvi, Pietro; Tschirsich, Ferdinand; Gerster, Matthias
- SciPost Physics Lecture Notes
The Tensor Networks Anthology: Simulation techniques for many-body quantum lattice systems
text, January 2017
- Silvi, Pietro; Tschirsich, Ferdinand; Gerster, Matthias
- arXiv
Floquet Engineering in Quantum Chains
text, January 2018
- Kennes, D. M.; de la Torre, A.; Ron, A.
- arXiv