Space and time renormalization in phase transition dynamics

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

doi:10.1103/PhysRevB.93.075134

Title: Space and time renormalization in phase transition dynamics

Journal Article · Thu Feb 18 00:00:00 EST 2016 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.93.075134· OSTI ID:1255132

Francuz, Anna ^[1]; Dziarmaga, Jacek ^[2]; Gardas, Bartłomiej ^[3]; Zurek, Wojciech H. ^[4]

Instytut Fizyki Uniwersytetu Jagiellonskiego, Krakow (Poland); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Instytut Fizyki Uniwersytetu Jagiellonskiego, Krakow (Poland)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Silesia, Katowice (Poland)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Here, when a system is driven across a quantum critical point at a constant rate, its evolution must become nonadiabatic as the relaxation time τ diverges at the critical point. According to the Kibble-Zurek mechanism (KZM), the emerging post-transition excited state is characterized by a finite correlation length ξˆ set at the time tˆ=τˆ when the critical slowing down makes it impossible for the system to relax to the equilibrium defined by changing parameters. This observation naturally suggests a dynamical scaling similar to renormalization familiar from the equilibrium critical phenomena. We provide evidence for such KZM-inspired spatiotemporal scaling by investigating an exact solution of the transverse field quantum Ising chain in the thermodynamic limit.

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

Sponsoring Organization:: USDOE

Grant/Contract Number:: DEC-2013/09/B/ST3/01603; AC52-06NA25396

OSTI ID:: 1255132

Alternate ID(s):: OSTI ID: 1238393

Report Number(s):: LA-UR-15-28631; PRBMDO

Journal Information:: Physical Review B, Vol. 93, Issue 7; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 56 works

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References (88)

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
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
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
Theory of defect production in nonlinear quench across a quantum critical point Mondal, Shreyoshi; Sengupta, K.; Sen, Diptiman Physical Review B, Vol. 79, Issue 4 https://doi.org/10.1103/PhysRevB.79.045128	journal	January 2009
Classical, quantum and total correlations Henderson, L.; Vedral, V. Journal of Physics A: Mathematical and General, Vol. 34, Issue 35 https://doi.org/10.1088/0305-4470/34/35/315	journal	August 2001
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
Entropy and correlation functions of a driven quantum spin chain Cherng, R. W.; Levitov, L. S. Physical Review A, Vol. 73, Issue 4 https://doi.org/10.1103/PhysRevA.73.043614	journal	April 2006
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
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
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
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
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
Defect Production in Nonlinear Quench across a Quantum Critical Point Sen, Diptiman; Sengupta, K.; Mondal, Shreyoshi Physical Review Letters, Vol. 101, Issue 1 https://doi.org/10.1103/PhysRevLett.101.016806	journal	July 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
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
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
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
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
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
Scaling of ground-state fidelity in the thermodynamic limit: $X Y$ model and beyond Rams, Marek M.; Damski, Bogdan Physical Review A, Vol. 84, Issue 3 https://doi.org/10.1103/PhysRevA.84.032324	journal	September 2011
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
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
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
Statistical Mechanics of the $X Y$ Model. II. Spin-Correlation Functions Barouch, Eytan; McCoy, Barry M. Physical Review A, Vol. 3, Issue 2 https://doi.org/10.1103/PhysRevA.3.786	journal	February 1971
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
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
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
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
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
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
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
Quantum Discord: A Measure of the Quantumness of Correlations Ollivier, Harold; Zurek, Wojciech H. Physical Review Letters, Vol. 88, Issue 1 https://doi.org/10.1103/PhysRevLett.88.017901	journal	December 2001
Einselection and decoherence from an information theory perspective Zurek, W. H. Annalen der Physik, Vol. 9, Issue 11-12 https://doi.org/10.1002/1521-3889(200011)9:11/12%3C855::AID-ANDP855%3E3.0.CO;2-K	journal	November 2000
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
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
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
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
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
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
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
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
Kibble–Zurek scaling and string-net coarsening in topologically ordered systems Chandran, Anushya; Burnell, F. J.; Khemani, Vedika Journal of Physics: Condensed Matter, Vol. 25, Issue 40 https://doi.org/10.1088/0953-8984/25/40/404214	journal	September 2013
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
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
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 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
Optimal Nonlinear Passage Through a Quantum Critical Point Barankov, Roman; Polkovnikov, Anatoli Physical Review Letters, Vol. 101, Issue 7 https://doi.org/10.1103/PhysRevLett.101.076801	journal	August 2008
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
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
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
Entanglement in Quantum Critical Phenomena Vidal, G.; Latorre, J. I.; Rico, E. Physical Review Letters, Vol. 90, Issue 22 https://doi.org/10.1103/PhysRevLett.90.227902	journal	June 2003
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
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
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
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
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
Scaling of the entanglement spectrum in driven critical dynamics Hu, Qijun; Yin, Shuai; Zhong, Fan Physical Review B, Vol. 91, Issue 18 https://doi.org/10.1103/PhysRevB.91.184109	journal	May 2015
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
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
Dynamics of the entanglement spectrum in spin chains Torlai, G.; Tagliacozzo, L.; De Chiara, G. Journal of Statistical Mechanics: Theory and Experiment, Vol. 2014, Issue 6 https://doi.org/10.1088/1742-5468/2014/06/P06001	journal	June 2014
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

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