Floquet Dynamics of Boundary-Driven Systems at Criticality

Berdanier, William; Kolodrubetz, Michael; Vasseur, Romain; Moore, Joel E.

doi:10.1103/PhysRevLett.118.260602

Title: Floquet Dynamics of Boundary-Driven Systems at Criticality

Authors:: Berdanier, William; Kolodrubetz, Michael; Vasseur, Romain; Moore, Joel E.

Publication Date:: Thu Jun 29 00:00:00 EDT 2017

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1372587

Grant/Contract Number:: DEAC02-05CH11231

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Name: Physical Review Letters Journal Volume: 118 Journal Issue: 26; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Berdanier, William, Kolodrubetz, Michael, Vasseur, Romain, and Moore, Joel E. Floquet Dynamics of Boundary-Driven Systems at Criticality.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevLett.118.260602.

Copy to clipboard


                    Berdanier, William, Kolodrubetz, Michael, Vasseur, Romain, & Moore, Joel E. Floquet Dynamics of Boundary-Driven Systems at Criticality.  United States.  https://doi.org/10.1103/PhysRevLett.118.260602

Copy to clipboard


                    Berdanier, William, Kolodrubetz, Michael, Vasseur, Romain, and Moore, Joel E. Thu .  
"Floquet Dynamics of Boundary-Driven Systems at Criticality".  United States.  https://doi.org/10.1103/PhysRevLett.118.260602.

Copy to clipboard


                    
@article{osti_1372587,

  title        = {Floquet Dynamics of Boundary-Driven Systems at Criticality},

  author       = {Berdanier, William and Kolodrubetz, Michael and Vasseur, Romain and Moore, Joel E.},

  abstractNote = {},

  doi          = {10.1103/PhysRevLett.118.260602},

  journal      = {Physical Review Letters},

  number       = 26,

  volume       = 118,

  place        = {United States},

  year         = {Thu Jun 29 00:00:00 EDT 2017},

  month        = {Thu Jun 29 00:00:00 EDT 2017}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1103/PhysRevLett.118.260602

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 20 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Periodically Driven Quantum Systems: Effective Hamiltonians and Engineered Gauge Fields
journal, August 2014

Goldman, N.; Dalibard, J.
Physical Review X, Vol. 4, Issue 3
DOI: 10.1103/PhysRevX.4.031027

Topological characterization of periodically driven quantum systems
journal, December 2010

Kitagawa, Takuya; Berg, Erez; Rudner, Mark
Physical Review B, Vol. 82, Issue 23
DOI: 10.1103/PhysRevB.82.235114

Floquet Engineering of Correlated Tunneling in the Bose-Hubbard Model with Ultracold Atoms
journal, May 2016

Meinert, F.; Mark, M. J.; Lauber, K.
Physical Review Letters, Vol. 116, Issue 20
DOI: 10.1103/PhysRevLett.116.205301

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
DOI: 10.1103/PhysRevLett.95.245701

On the exponential solution of differential equations for a linear operator
journal, November 1954

Magnus, Wilhelm
Communications on Pure and Applied Mathematics, Vol. 7, Issue 4
DOI: 10.1002/cpa.3160070404

Entanglement entropy and conformal field theory
journal, December 2009

Calabrese, Pasquale; Cardy, John
Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 50
DOI: 10.1088/1751-8113/42/50/504005

Quantum quenches in 1 + 1 dimensional conformal field theories
journal, June 2016

Calabrese, Pasquale; Cardy, John
Journal of Statistical Mechanics: Theory and Experiment, Vol. 2016, Issue 6
DOI: 10.1088/1742-5468/2016/06/064003

Floquet topological insulator in semiconductor quantum wells
journal, March 2011

Lindner, Netanel H.; Refael, Gil; Galitski, Victor
Nature Physics, Vol. 7, Issue 6
DOI: 10.1038/nphys1926

Majorana Fermions in Equilibrium and in Driven Cold-Atom Quantum Wires
journal, June 2011

Jiang, Liang; Kitagawa, Takuya; Alicea, Jason
Physical Review Letters, Vol. 106, Issue 22
DOI: 10.1103/PhysRevLett.106.220402

Disorder-Induced Floquet Topological Insulators
journal, February 2015

Titum, Paraj; Lindner, Netanel H.; Rechtsman, Mikael C.
Physical Review Letters, Vol. 114, Issue 5
DOI: 10.1103/PhysRevLett.114.056801

Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering
journal, March 2015

Bukov, Marin; D'Alessio, Luca; Polkovnikov, Anatoli
Advances in Physics, Vol. 64, Issue 2
DOI: 10.1080/00018732.2015.1055918

Floquet engineering with quasienergy bands of periodically driven optical lattices
journal, November 2015

Holthaus, Martin
Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 49, Issue 1
DOI: 10.1088/0953-4075/49/1/013001

Evolution of entanglement after a local quench
journal, June 2007

Eisler, Viktor; Peschel, Ingo
Journal of Statistical Mechanics: Theory and Experiment, Vol. 2007, Issue 06
DOI: 10.1088/1742-5468/2007/06/P06005

Floquet Time Crystals
journal, August 2016

Else, Dominic V.; Bauer, Bela; Nayak, Chetan
Physical Review Letters, Vol. 117, Issue 9
DOI: 10.1103/PhysRevLett.117.090402

Parafermion chain with $2 π / k$ Floquet edge modes
journal, July 2016

Sreejith, G. J.; Lazarides, Achilleas; Moessner, Roderich
Physical Review B, Vol. 94, Issue 4
DOI: 10.1103/PhysRevB.94.045127

Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of 1D Lattice Hard-Core Bosons
journal, February 2007

Rigol, Marcos; Dunjko, Vanja; Yurovsky, Vladimir
Physical Review Letters, Vol. 98, Issue 5
DOI: 10.1103/PhysRevLett.98.050405

Prethermal Phases of Matter Protected by Time-Translation Symmetry
journal, March 2017

Else, Dominic V.; Bauer, Bela; Nayak, Chetan
Physical Review X, Vol. 7, Issue 1
DOI: 10.1103/PhysRevX.7.011026

Boundary condition changing operations in conformal field theory and condensed matter physics
journal, September 1997

Affleck, Ian
Nuclear Physics B - Proceedings Supplements, Vol. 58
DOI: 10.1016/S0920-5632(97)00411-8

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
DOI: 10.1103/PhysRevLett.109.015701

XSEDE: Accelerating Scientific Discovery
journal, September 2014

Towns, John; Cockerill, Timothy; Dahan, Maytal
Computing in Science & Engineering, Vol. 16, Issue 5
DOI: 10.1109/MCSE.2014.80

Universal noninteger ‘‘ground-state degeneracy’’ in critical quantum systems
journal, July 1991

Affleck, Ian; Ludwig, Andreas W. W.
Physical Review Letters, Vol. 67, Issue 2
DOI: 10.1103/PhysRevLett.67.161

Boundary s Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
journal, August 1994

Ghoshal, Subir; Zamolodchikov, Alexander
International Journal of Modern Physics A, Vol. 09, Issue 21
DOI: 10.1142/S0217751X94001552

Calculation of reduced density matrices from correlation functions
journal, March 2003

Peschel, Ingo
Journal of Physics A: Mathematical and General, Vol. 36, Issue 14
DOI: 10.1088/0305-4470/36/14/101

Universal quench dynamics of interacting quantum impurity systems
journal, September 2014

Kennes, D. M.; Meden, V.; Vasseur, R.
Physical Review B, Vol. 90, Issue 11
DOI: 10.1103/PhysRevB.90.115101

The Magnus expansion and some of its applications
journal, January 2009

Blanes, S.; Casas, F.; Oteo, J. A.
Physics Reports, Vol. 470, Issue 5-6
DOI: 10.1016/j.physrep.2008.11.001

Quench dynamics near a quantum critical point
journal, January 2010

De Grandi, C.; Gritsev, V.; Polkovnikov, A.
Physical Review B, Vol. 81, Issue 1
DOI: 10.1103/PhysRevB.81.012303

Classification of topological phases in periodically driven interacting systems
journal, May 2016

Else, Dominic V.; Nayak, Chetan
Physical Review B, Vol. 93, Issue 20
DOI: 10.1103/PhysRevB.93.201103

Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
journal, July 2005

Rigol, Marcos; Muramatsu, Alejandro
Physical Review A, Vol. 72, Issue 1
DOI: 10.1103/PhysRevA.72.013604

Universal adiabatic dynamics in the vicinity of a quantum critical point
journal, October 2005

Polkovnikov, Anatoli
Physical Review B, Vol. 72, Issue 16
DOI: 10.1103/PhysRevB.72.161201

The density-matrix renormalization group in the age of matrix product states
journal, January 2011

Schollwöck, Ulrich
Annals of Physics, Vol. 326, Issue 1
DOI: 10.1016/j.aop.2010.09.012

Crossover Physics in the Nonequilibrium Dynamics of Quenched Quantum Impurity Systems
journal, June 2013

Vasseur, Romain; Trinh, Kien; Haas, Stephan
Physical Review Letters, Vol. 110, Issue 24
DOI: 10.1103/PhysRevLett.110.240601

Time Dependence of Correlation Functions Following a Quantum Quench
journal, April 2006

Calabrese, Pasquale; Cardy, John
Physical Review Letters, Vol. 96, Issue 13
DOI: 10.1103/PhysRevLett.96.136801

Dynamics of a Quantum Phase Transition
journal, September 2005

Zurek, Wojciech H.; Dorner, Uwe; Zoller, Peter
Physical Review Letters, Vol. 95, Issue 10
DOI: 10.1103/PhysRevLett.95.105701

Stroboscopic symmetry-protected topological phases
journal, September 2015

Iadecola, Thomas; Santos, Luiz H.; Chamon, Claudio
Physical Review B, Vol. 92, Issue 12
DOI: 10.1103/PhysRevB.92.125107

Loschmidt echo
journal, January 2012

Wisniacki, Arseni
Scholarpedia, Vol. 7, Issue 8
DOI: 10.4249/scholarpedia.11687

Universal Nonequilibrium Signatures of Majorana Zero Modes in Quench Dynamics
journal, October 2014

Vasseur, R.; Dahlhaus, J. P.; Moore, J. E.
Physical Review X, Vol. 4, Issue 4
DOI: 10.1103/PhysRevX.4.041007

Periodic Thermodynamics of Isolated Quantum Systems
journal, April 2014

Lazarides, Achilleas; Das, Arnab; Moessner, Roderich
Physical Review Letters, Vol. 112, Issue 15
DOI: 10.1103/PhysRevLett.112.150401

Photonic Floquet topological insulators
journal, April 2013

Rechtsman, Mikael C.; Zeuner, Julia M.; Plotnik, Yonatan
Nature, Vol. 496, Issue 7444
DOI: 10.1038/nature12066

Conformal invariance and surface critical behavior
journal, November 1984

Cardy, John L.
Nuclear Physics B, Vol. 240, Issue 4
DOI: 10.1016/0550-3213(84)90241-4

Efficient Simulation of One-Dimensional Quantum Many-Body Systems
journal, July 2004

Vidal, Guifré
Physical Review Letters, Vol. 93, Issue 4
DOI: 10.1103/PhysRevLett.93.040502

Photovoltaic Hall effect in graphene
journal, February 2009

Oka, Takashi; Aoki, Hideo
Physical Review B, Vol. 79, Issue 8
DOI: 10.1103/PhysRevB.79.081406

Effective Hamiltonians, prethermalization, and slow energy absorption in periodically driven many-body systems
journal, January 2017

Abanin, Dmitry A.; De Roeck, Wojciech; Ho, Wen Wei
Physical Review B, Vol. 95, Issue 1
DOI: 10.1103/PhysRevB.95.014112

Absolute stability and spatiotemporal long-range order in Floquet systems
journal, August 2016

von Keyserlingk, C. W.; Khemani, Vedika; Sondhi, S. L.
Physical Review B, Vol. 94, Issue 8
DOI: 10.1103/PhysRevB.94.085112

Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
journal, March 2016

Mori, Takashi; Kuwahara, Tomotaka; Saito, Keiji
Physical Review Letters, Vol. 116, Issue 12
DOI: 10.1103/PhysRevLett.116.120401

Phase Structure of Driven Quantum Systems
journal, June 2016

Khemani, Vedika; Lazarides, Achilleas; Moessner, Roderich
Physical Review Letters, Vol. 116, Issue 25
DOI: 10.1103/PhysRevLett.116.250401

Exponentially Slow Heating in Periodically Driven Many-Body Systems
journal, December 2015

Abanin, Dmitry A.; De Roeck, Wojciech; Huveneers, François
Physical Review Letters, Vol. 115, Issue 25
DOI: 10.1103/PhysRevLett.115.256803

Local quantum quenches in critical one-dimensional systems: entanglement, the Loschmidt echo, and light-cone effects
journal, August 2011

Stéphan, Jean-Marie; Dubail, Jérôme
Journal of Statistical Mechanics: Theory and Experiment, Vol. 2011, Issue 08
DOI: 10.1088/1742-5468/2011/08/P08019

Floquet–Magnus theory and generic transient dynamics in periodically driven many-body quantum systems
journal, April 2016

Kuwahara, Tomotaka; Mori, Takashi; Saito, Keiji
Annals of Physics, Vol. 367
DOI: 10.1016/j.aop.2016.01.012

Floquet topological insulators
journal, January 2013

Cayssol, Jérôme; Dóra, Balázs; Simon, Ferenc
physica status solidi (RRL) - Rapid Research Letters, Vol. 7, Issue 1-2
DOI: 10.1002/pssr.201206451

Classification of Interacting Topological Floquet Phases in One Dimension
journal, October 2016

Potter, Andrew C.; Morimoto, Takahiro; Vishwanath, Ashvin
Physical Review X, Vol. 6, Issue 4
DOI: 10.1103/PhysRevX.6.041001

Quantum Phase Transitions
book, December 2007

Sachdev, Subir
Handbook of Magnetism and Advanced Magnetic Materials
DOI: 10.1002/9780470022184.hmm108

Entanglement and correlation functions following a local quench: a conformal field theory approach
journal, October 2007

Calabrese, Pasquale; Cardy, John
Journal of Statistical Mechanics: Theory and Experiment, Vol. 2007, Issue 10
DOI: 10.1088/1742-5468/2007/10/P10004

Phase structure of one-dimensional interacting Floquet systems. I. Abelian symmetry-protected topological phases
journal, June 2016

von Keyserlingk, C. W.; Sondhi, S. L.
Physical Review B, Vol. 93, Issue 24
DOI: 10.1103/PhysRevB.93.245145

Similar Records in DOE PAGES and OSTI.GOV collections:

Floquet quantum criticality

Journal Article Berdanier, William ; Kolodrubetz, Michael ; Parameswaran, S. A. ; ... - Proceedings of the National Academy of Sciences of the United States of America

Significance Periodically driven “Floquet” systems are nonequilibrium systems whose time translation symmetry can give rise to a rich dynamical phase structure. In the presence of quenched disorder, they can avoid thermalizing to a bland infinite temperature state through a phenomenon known as many-body localization (MBL). The ability of these driven MBL phases to host phenomena forbidden in equilibrium, such as “time crystallinity,” has gained widespread interest in recent years. In this work, we consider the question of the criticality that emerges at the transitions between distinct Floquet MBL phases. By providing a universally applicable picture and applying it to amore »« less
Cited by 31
https://doi.org/10.1073/pnas.1805796115
Floquet–Magnus theory and generic transient dynamics in periodically driven many-body quantum systems

Journal Article Kuwahara, Tomotaka ; WPI, Advanced Institute for Materials Research, Tohoku University, Sendai 980-8577 ; Mori, Takashi ; ... - Annals of Physics

This work explores a fundamental dynamical structure for a wide range of many-body quantum systems under periodic driving. Generically, in the thermodynamic limit, such systems are known to heat up to infinite temperature states in the long-time limit irrespective of dynamical details, which kills all the specific properties of the system. In the present study, instead of considering infinitely long-time scale, we aim to provide a general framework to understand the long but finite time behavior, namely the transient dynamics. In our analysis, we focus on the Floquet–Magnus (FM) expansion that gives a formal expression of the effective Hamiltonian onmore »« less
https://doi.org/10.1016/J.AOP.2016.01.012
Floquet time crystals in driven spin systems with all-to-all $p$ -body interactions

Journal Article Muñoz-Arias, Manuel H. ; Chinni, Karthik ; Poggi, Pablo M. - Physical Review Research

We show the emergence of Floquet time crystal (FTC) phases in the Floquet dynamics of periodically driven p -spin models, which describe a collection of spin-1/2 particles with all-to-all p-body interactions. Given the mean-field nature of these models, we treat the problem exactly in the thermodynamic limit and show that, for a given p, these systems can host various robust time-crystalline responses with period nT, where T is the period of the drive and n an integer between 2 and p. In particular, the case of four-body interactions (p = 4) gives rise to both a usual period-doubling crystal andmore »« less
https://doi.org/10.1103/PhysRevResearch.4.023018
A perturbation theoretic approach to the Riccati equation for the Floquet energies, spectral intensities, and cutoff energy of harmonic generation in photon emission from nonadiabatic electron-transfer dynamics driven by infrared CW laser fields

Journal Article Mizuno, Yuta ; Arasaki, Yasuki ; Takatsuka, Kazuo - Journal of Chemical Physics

A complicated yet interesting induced photon emission can take place by a nonadiabatic intramolecular electron transfer system like LiF under an intense CW laser [Y. Arasaki, S. Scheit, and K. Takatsuka, J. Chem. Phys. 138, 161103 (2013)]. Behind this phenomena, the crossing point between two potential energy curves of covalent and ionic natures in diabatic representation is forced to oscillate, since only the ionic potential curve is shifted significantly up and down repeatedly (called the Dynamical Stark effect). The wavepacket pumped initially to the excited covalent potential curve frequently encounters such a dynamically moving crossing point and thereby undergoes verymore »« less
https://doi.org/10.1063/1.4939580
Floquet dynamics of disordered bands with isolated critical energies

Journal Article Ganeshan, Sriram ; Agarwal, Kartiek ; Bhatt, R. N. - Physical Review. B

We investigate localization properties of driven models which exhibit a subextensive number of extended states in the static setting. We consider instances where the extended modes are or are not protected by topological considerations. To this end, we contrast the strongly driven, disordered, lowest Landau level, which we refer to as the random Landau model (RLM), with the random dimer model (RDM); the RDM also has a subextensive set of delocalized modes in the middle of the spectrum whose origin is not topological. We map the driven models on to a higher-dimensional effective model and numerically compute the localization lengthmore »« less
https://doi.org/10.1103/physrevb.102.134212

Full Text Available

Similar Records

Title: Floquet Dynamics of Boundary-Driven Systems at Criticality

Citation Formats

Periodically Driven Quantum Systems: Effective Hamiltonians and Engineered Gauge Fields journal, August 2014

Topological characterization of periodically driven quantum systems journal, December 2010

Floquet Engineering of Correlated Tunneling in the Bose-Hubbard Model with Ultracold Atoms journal, May 2016

Dynamics of a Quantum Phase Transition: Exact Solution of the Quantum Ising Model journal, December 2005

On the exponential solution of differential equations for a linear operator journal, November 1954

Entanglement entropy and conformal field theory journal, December 2009

Quantum quenches in 1 + 1 dimensional conformal field theories journal, June 2016

Floquet topological insulator in semiconductor quantum wells journal, March 2011

Majorana Fermions in Equilibrium and in Driven Cold-Atom Quantum Wires journal, June 2011

Disorder-Induced Floquet Topological Insulators journal, February 2015

Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering journal, March 2015

Floquet engineering with quasienergy bands of periodically driven optical lattices journal, November 2015

Evolution of entanglement after a local quench journal, June 2007

Floquet Time Crystals journal, August 2016

Parafermion chain with 2 π / k Floquet edge modes journal, July 2016

Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of 1D Lattice Hard-Core Bosons journal, February 2007

Prethermal Phases of Matter Protected by Time-Translation Symmetry journal, March 2017

Boundary condition changing operations in conformal field theory and condensed matter physics journal, September 1997

Nonequilibrium Dynamic Critical Scaling of the Quantum Ising Chain journal, July 2012

XSEDE: Accelerating Scientific Discovery journal, September 2014

Universal noninteger ‘‘ground-state degeneracy’’ in critical quantum systems journal, July 1991

Boundary s Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory journal, August 1994

Calculation of reduced density matrices from correlation functions journal, March 2003

Universal quench dynamics of interacting quantum impurity systems journal, September 2014

The Magnus expansion and some of its applications journal, January 2009

Quench dynamics near a quantum critical point journal, January 2010

Classification of topological phases in periodically driven interacting systems journal, May 2016

Ground-state properties of hard-core bosons confined on one-dimensional optical lattices journal, July 2005

Universal adiabatic dynamics in the vicinity of a quantum critical point journal, October 2005

The density-matrix renormalization group in the age of matrix product states journal, January 2011

Crossover Physics in the Nonequilibrium Dynamics of Quenched Quantum Impurity Systems journal, June 2013

Time Dependence of Correlation Functions Following a Quantum Quench journal, April 2006

Dynamics of a Quantum Phase Transition journal, September 2005

Stroboscopic symmetry-protected topological phases journal, September 2015

Loschmidt echo journal, January 2012

Universal Nonequilibrium Signatures of Majorana Zero Modes in Quench Dynamics journal, October 2014

Periodic Thermodynamics of Isolated Quantum Systems journal, April 2014

Photonic Floquet topological insulators journal, April 2013

Conformal invariance and surface critical behavior journal, November 1984

Efficient Simulation of One-Dimensional Quantum Many-Body Systems journal, July 2004

Photovoltaic Hall effect in graphene journal, February 2009

Effective Hamiltonians, prethermalization, and slow energy absorption in periodically driven many-body systems journal, January 2017

Absolute stability and spatiotemporal long-range order in Floquet systems journal, August 2016

Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems journal, March 2016

Phase Structure of Driven Quantum Systems journal, June 2016

Exponentially Slow Heating in Periodically Driven Many-Body Systems journal, December 2015

Local quantum quenches in critical one-dimensional systems: entanglement, the Loschmidt echo, and light-cone effects journal, August 2011

Floquet–Magnus theory and generic transient dynamics in periodically driven many-body quantum systems journal, April 2016

Floquet topological insulators journal, January 2013

Classification of Interacting Topological Floquet Phases in One Dimension journal, October 2016

Quantum Phase Transitions book, December 2007

Entanglement and correlation functions following a local quench: a conformal field theory approach journal, October 2007

Phase structure of one-dimensional interacting Floquet systems. I. Abelian symmetry-protected topological phases journal, June 2016

Periodically Driven Quantum Systems: Effective Hamiltonians and Engineered Gauge Fields
journal, August 2014

Topological characterization of periodically driven quantum systems
journal, December 2010

Floquet Engineering of Correlated Tunneling in the Bose-Hubbard Model with Ultracold Atoms
journal, May 2016

Dynamics of a Quantum Phase Transition: Exact Solution of the Quantum Ising Model
journal, December 2005

On the exponential solution of differential equations for a linear operator
journal, November 1954

Entanglement entropy and conformal field theory
journal, December 2009

Quantum quenches in 1 + 1 dimensional conformal field theories
journal, June 2016

Floquet topological insulator in semiconductor quantum wells
journal, March 2011

Majorana Fermions in Equilibrium and in Driven Cold-Atom Quantum Wires
journal, June 2011

Disorder-Induced Floquet Topological Insulators
journal, February 2015

Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering
journal, March 2015

Floquet engineering with quasienergy bands of periodically driven optical lattices
journal, November 2015

Evolution of entanglement after a local quench
journal, June 2007

Floquet Time Crystals
journal, August 2016

Parafermion chain with $2 π / k$ Floquet edge modes
journal, July 2016

Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of 1D Lattice Hard-Core Bosons
journal, February 2007

Prethermal Phases of Matter Protected by Time-Translation Symmetry
journal, March 2017

Boundary condition changing operations in conformal field theory and condensed matter physics
journal, September 1997

Nonequilibrium Dynamic Critical Scaling of the Quantum Ising Chain
journal, July 2012

XSEDE: Accelerating Scientific Discovery
journal, September 2014

Universal noninteger ‘‘ground-state degeneracy’’ in critical quantum systems
journal, July 1991

Boundary s Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
journal, August 1994

Calculation of reduced density matrices from correlation functions
journal, March 2003

Universal quench dynamics of interacting quantum impurity systems
journal, September 2014

The Magnus expansion and some of its applications
journal, January 2009

Quench dynamics near a quantum critical point
journal, January 2010

Classification of topological phases in periodically driven interacting systems
journal, May 2016

Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
journal, July 2005

Universal adiabatic dynamics in the vicinity of a quantum critical point
journal, October 2005

The density-matrix renormalization group in the age of matrix product states
journal, January 2011

Crossover Physics in the Nonequilibrium Dynamics of Quenched Quantum Impurity Systems
journal, June 2013

Time Dependence of Correlation Functions Following a Quantum Quench
journal, April 2006

Dynamics of a Quantum Phase Transition
journal, September 2005

Stroboscopic symmetry-protected topological phases
journal, September 2015

Loschmidt echo
journal, January 2012

Universal Nonequilibrium Signatures of Majorana Zero Modes in Quench Dynamics
journal, October 2014

Periodic Thermodynamics of Isolated Quantum Systems
journal, April 2014

Photonic Floquet topological insulators
journal, April 2013

Conformal invariance and surface critical behavior
journal, November 1984

Efficient Simulation of One-Dimensional Quantum Many-Body Systems
journal, July 2004

Photovoltaic Hall effect in graphene
journal, February 2009

Effective Hamiltonians, prethermalization, and slow energy absorption in periodically driven many-body systems
journal, January 2017

Absolute stability and spatiotemporal long-range order in Floquet systems
journal, August 2016

Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
journal, March 2016

Phase Structure of Driven Quantum Systems
journal, June 2016

Exponentially Slow Heating in Periodically Driven Many-Body Systems
journal, December 2015

Local quantum quenches in critical one-dimensional systems: entanglement, the Loschmidt echo, and light-cone effects
journal, August 2011

Floquet–Magnus theory and generic transient dynamics in periodically driven many-body quantum systems
journal, April 2016

Floquet topological insulators
journal, January 2013

Classification of Interacting Topological Floquet Phases in One Dimension
journal, October 2016

Quantum Phase Transitions
book, December 2007

Entanglement and correlation functions following a local quench: a conformal field theory approach
journal, October 2007

Phase structure of one-dimensional interacting Floquet systems. I. Abelian symmetry-protected topological phases
journal, June 2016