Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains
Abstract
We report on the nonequilibrium dynamics of random spin chains that remain integrable (i.e., solvable via Bethe ansatz): because of correlations in the disorder, these systems escape localization and feature ballistically spreading quasiparticles. We derive a generalized hydrodynamic theory for dynamics in such random integrable systems, including diffusive corrections due to disorder, and use it to study nonequilibrium energy and spin transport. We demonstrate that diffusive corrections to the ballistic propagation of quasiparticles can arise even in noninteracting settings, in sharp contrast to clean integrable systems. This suggests that operator fronts broaden diffusively in random integrable systems. By tuning parameters in the disorder distribution, one can drive this model through an unusual phase transition, between a phase where all wave functions are delocalized and a phase in which low-energy wave functions are quasilocalized (in a sense we specify). Both phases have ballistic transport; however, in the quasilocalized phase, local autocorrelation functions decay with an anomalous power law, and the density of states diverges at low energy.
- Authors:
-
- Univ. of Massachusetts, Amherst, MA (United States)
- CUNY College of Staten Island, Staten Island, NY (United States); ; City Univ. (CUNY), NY (United States)
- Publication Date:
- Research Org.:
- Univ. of Massachusetts, Amherst, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE
- OSTI Identifier:
- 1512705
- Alternate Identifier(s):
- OSTI ID: 1512815
- Grant/Contract Number:
- SC0019168
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 17; 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; Transport; hydrodynamics; integrable systems; disordered systems; Anderson localization
Citation Formats
Agrawal, Utkarsh, Gopalakrishnan, Sarang, and Vasseur, Romain. Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains. United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.99.174203.
Agrawal, Utkarsh, Gopalakrishnan, Sarang, & Vasseur, Romain. Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains. United States. https://doi.org/10.1103/PhysRevB.99.174203
Agrawal, Utkarsh, Gopalakrishnan, Sarang, and Vasseur, Romain. Wed .
"Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains". United States. https://doi.org/10.1103/PhysRevB.99.174203. https://www.osti.gov/servlets/purl/1512705.
@article{osti_1512705,
title = {Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains},
author = {Agrawal, Utkarsh and Gopalakrishnan, Sarang and Vasseur, Romain},
abstractNote = {We report on the nonequilibrium dynamics of random spin chains that remain integrable (i.e., solvable via Bethe ansatz): because of correlations in the disorder, these systems escape localization and feature ballistically spreading quasiparticles. We derive a generalized hydrodynamic theory for dynamics in such random integrable systems, including diffusive corrections due to disorder, and use it to study nonequilibrium energy and spin transport. We demonstrate that diffusive corrections to the ballistic propagation of quasiparticles can arise even in noninteracting settings, in sharp contrast to clean integrable systems. This suggests that operator fronts broaden diffusively in random integrable systems. By tuning parameters in the disorder distribution, one can drive this model through an unusual phase transition, between a phase where all wave functions are delocalized and a phase in which low-energy wave functions are quasilocalized (in a sense we specify). Both phases have ballistic transport; however, in the quasilocalized phase, local autocorrelation functions decay with an anomalous power law, and the density of states diverges at low energy.},
doi = {10.1103/PhysRevB.99.174203},
journal = {Physical Review B},
number = 17,
volume = 99,
place = {United States},
year = {Wed May 15 00:00:00 EDT 2019},
month = {Wed May 15 00:00:00 EDT 2019}
}
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Works referenced in this record:
Thermodynamics of a One‐Dimensional System of Bosons with Repulsive Delta‐Function Interaction
journal, July 1969
- Yang, C. N.; Yang, C. P.
- Journal of Mathematical Physics, Vol. 10, Issue 7
Scaling and eigenfunction correlations near a mobility edge
journal, August 1990
- Chalker, J. T.
- Physica A: Statistical Mechanics and its Applications, Vol. 167, Issue 1
Many-body physics with ultracold gases
journal, July 2008
- Bloch, Immanuel; Dalibard, Jean; Zwerger, Wilhelm
- Reviews of Modern Physics, Vol. 80, Issue 3
Conformal field theory out of equilibrium: a review
journal, June 2016
- Bernard, Denis; Doyon, Benjamin
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2016, Issue 6
Hydrodynamic Diffusion in Integrable Systems
journal, October 2018
- De Nardis, Jacopo; Bernard, Denis; Doyon, Benjamin
- Physical Review Letters, Vol. 121, Issue 16
Transport in Out-of-Equilibrium Chains: Exact Profiles of Charges and Currents
journal, November 2016
- Bertini, Bruno; Collura, Mario; De Nardis, Jacopo
- Physical Review Letters, Vol. 117, Issue 20
Microscopic Origin of Ideal Conductivity in Integrable Quantum Models
journal, July 2017
- Ilievski, Enej; De Nardis, Jacopo
- Physical Review Letters, Vol. 119, Issue 2
Anderson transitions
journal, October 2008
- Evers, Ferdinand; Mirlin, Alexander D.
- Reviews of Modern Physics, Vol. 80, Issue 4
Nitrogen-Vacancy Centers in Diamond: Nanoscale Sensors for Physics and Biology
journal, April 2014
- Schirhagl, Romana; Chang, Kevin; Loretz, Michael
- Annual Review of Physical Chemistry, Vol. 65, Issue 1
Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
journal, September 2014
- Wouters, B.; De Nardis, J.; Brockmann, M.
- Physical Review Letters, Vol. 113, Issue 11
Quench dynamics and relaxation in isolated integrable quantum spin chains
journal, June 2016
- Essler, Fabian H. L.; Fagotti, Maurizio
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2016, Issue 6
Constructing the Generalized Gibbs Ensemble after a Quantum Quench
journal, October 2012
- Caux, Jean-Sébastien; Konik, Robert M.
- Physical Review Letters, Vol. 109, Issue 17
Thermodynamics of integrable chains with alternating spins
journal, May 1994
- de Vega, H. J.; Mezincescu, Luca; Nepomechie, Rafael I.
- Physical Review B, Vol. 49, Issue 18
New integrable quantum chains combining different kinds of spins
journal, September 1992
- Vega, H. J. de; Woynarovich, F.
- Journal of Physics A: Mathematical and General, Vol. 25, Issue 17
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
Black holes and the butterfly effect
journal, March 2014
- Shenker, Stephen H.; Stanford, Douglas
- Journal of High Energy Physics, Vol. 2014, Issue 3
Colloquium : Quantum networks with trapped ions
journal, April 2010
- Duan, L. -M.; Monroe, C.
- Reviews of Modern Physics, Vol. 82, Issue 2
Bethe-Boltzmann hydrodynamics and spin transport in the XXZ chain
journal, January 2018
- Bulchandani, Vir B.; Vasseur, Romain; Karrasch, Christoph
- Physical Review B, Vol. 97, Issue 4
Analytic solution of the domain-wall nonequilibrium stationary state
journal, February 2018
- Collura, Mario; De Luca, Andrea; Viti, Jacopo
- Physical Review B, Vol. 97, Issue 8
Thermalization near Integrability in a Dipolar Quantum Newton’s Cradle
journal, May 2018
- Tang, Yijun; Kao, Wil; Li, Kuan-Yu
- Physical Review X, Vol. 8, Issue 2
Quasilocal Conserved Operators in the Isotropic Heisenberg Spin- Chain
journal, September 2015
- Ilievski, Enej; Medenjak, Marko; Prosen, Tomaž
- Physical Review Letters, Vol. 115, Issue 12
Large-Scale Description of Interacting One-Dimensional Bose Gases: Generalized Hydrodynamics Supersedes Conventional Hydrodynamics
journal, November 2017
- Doyon, Benjamin; Dubail, Jérôme; Konik, Robert
- Physical Review Letters, Vol. 119, Issue 19
Exact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos
journal, December 2018
- Bertini, Bruno; Kos, Pavel; Prosen, Tomaž
- Physical Review Letters, Vol. 121, Issue 26
“Light-Cone” Dynamics After Quantum Quenches in Spin Chains
journal, October 2014
- Bonnes, Lars; Essler, Fabian H. L.; Läuchli, Andreas M.
- Physical Review Letters, Vol. 113, Issue 18
Relaxation after quantum quenches in the spin- Heisenberg XXZ chain
journal, March 2014
- Fagotti, Maurizio; Collura, Mario; Essler, Fabian H. L.
- Physical Review B, Vol. 89, Issue 12
Entanglement and thermodynamics after a quantum quench in integrable systems
journal, July 2017
- Alba, Vincenzo; Calabrese, Pasquale
- Proceedings of the National Academy of Sciences, Vol. 114, Issue 30
State preservation by repetitive error detection in a superconducting quantum circuit
journal, March 2015
- Kelly, J.; Barends, R.; Fowler, A. G.
- Nature, Vol. 519, Issue 7541
Families of Quasilocal Conservation Laws and Quantum Spin Transport
journal, August 2013
- Prosen, Tomaž; Ilievski, Enej
- Physical Review Letters, Vol. 111, Issue 5
Higher-order generalized hydrodynamics in one dimension: The noninteracting test
journal, December 2017
- Fagotti, Maurizio
- Physical Review B, Vol. 96, Issue 22
Emergent Hydrodynamics in Integrable Quantum Systems Out of Equilibrium
journal, December 2016
- Castro-Alvaredo, Olalla A.; Doyon, Benjamin; Yoshimura, Takato
- Physical Review X, Vol. 6, Issue 4
Quantum simulations with trapped ions
journal, April 2012
- Blatt, R.; Roos, C. F.
- Nature Physics, Vol. 8, Issue 4
Temporal diffusion
journal, July 2003
- Boon, J. P.; Grosfils, P.; Lutsko, J. F.
- Europhysics Letters (EPL), Vol. 63, Issue 2
Incomplete Thermalization from Trap-Induced Integrability Breaking: Lessons from Classical Hard Rods
journal, April 2018
- Cao, Xiangyu; Bulchandani, Vir B.; Moore, Joel E.
- Physical Review Letters, Vol. 120, Issue 16
The nitrogen-vacancy colour centre in diamond
journal, July 2013
- Doherty, Marcus W.; Manson, Neil B.; Delaney, Paul
- Physics Reports, Vol. 528, Issue 1
Out-of-time-ordered correlators in a quantum Ising chain
journal, April 2018
- Lin, Cheng-Ju; Motrunich, Olexei I.
- Physical Review B, Vol. 97, Issue 14
Quantum dynamics of single trapped ions
journal, March 2003
- Leibfried, D.; Blatt, R.; Monroe, C.
- Reviews of Modern Physics, Vol. 75, Issue 1
Operator growth and eigenstate entanglement in an interacting integrable Floquet system
journal, August 2018
- Gopalakrishnan, Sarang
- Physical Review B, Vol. 98, Issue 6
Time Dependence of Correlation Functions Following a Quantum Quench
journal, April 2006
- Calabrese, Pasquale; Cardy, John
- Physical Review Letters, Vol. 96, Issue 13
The thermodynamic limit of the Whitham equations
journal, May 2003
- El, G. A.
- Physics Letters A, Vol. 311, Issue 4-5
Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems
journal, December 2018
- Gopalakrishnan, Sarang; Huse, David A.; Khemani, Vedika
- Physical Review B, Vol. 98, Issue 22
Diffusive Heat Waves in Random Conformal Field Theory
journal, January 2019
- Langmann, Edwin; Moosavi, Per
- Physical Review Letters, Vol. 122, Issue 2
Thermodynamics of One-Dimensional Solvable Models
book, January 2009
- Takahashi, Minoru
- Cambridge University Press
A bound on chaos
journal, August 2016
- Maldacena, Juan; Shenker, Stephen H.; Stanford, Douglas
- Journal of High Energy Physics, Vol. 2016, Issue 8
Soliton Gases and Generalized Hydrodynamics
journal, January 2018
- Doyon, Benjamin; Yoshimura, Takato; Caux, Jean-Sébastien
- Physical Review Letters, Vol. 120, Issue 4
From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics
journal, May 2016
- D'Alessio, Luca; Kafri, Yariv; Polkovnikov, Anatoli
- Advances in Physics, Vol. 65, Issue 3
Solution of a Minimal Model for Many-Body Quantum Chaos
journal, November 2018
- Chan, Amos; De Luca, Andrea; Chalker, J. T.
- Physical Review X, Vol. 8, Issue 4
Experimental observation of a generalized Gibbs ensemble
journal, April 2015
- Langen, T.; Erne, S.; Geiger, R.
- Science, Vol. 348, Issue 6231
Operator Spreading and the Emergence of Dissipative Hydrodynamics under Unitary Evolution with Conservation Laws
journal, September 2018
- Khemani, Vedika; Vishwanath, Ashvin; Huse, David A.
- Physical Review X, Vol. 8, Issue 3
Interacting and noninteracting integrable systems
journal, September 2018
- Spohn, Herbert
- Journal of Mathematical Physics, Vol. 59, Issue 9
Scaling, Diffusion, and the Integer Quantized Hall Effect
journal, August 1988
- Chalker, J. T.; Daniell, G. J.
- Physical Review Letters, Vol. 61, Issue 5
Breakdown of Thermalization in Finite One-Dimensional Systems
journal, September 2009
- Rigol, Marcos
- Physical Review Letters, Vol. 103, Issue 10
Quantum Entanglement Growth under Random Unitary Dynamics
journal, July 2017
- Nahum, Adam; Ruhman, Jonathan; Vijay, Sagar
- Physical Review X, Vol. 7, Issue 3
Solvable Hydrodynamics of Quantum Integrable Systems
journal, November 2017
- Bulchandani, Vir B.; Vasseur, Romain; Karrasch, Christoph
- Physical Review Letters, Vol. 119, Issue 22
Kinetic Theory of Spin Diffusion and Superdiffusion in Spin Chains
journal, March 2019
- Gopalakrishnan, Sarang; Vasseur, Romain
- Physical Review Letters, Vol. 122, Issue 12
Diffusive Hydrodynamics of Out-of-Time-Ordered Correlators with Charge Conservation
journal, September 2018
- Rakovszky, Tibor; Pollmann, Frank; von Keyserlingk, C. W.
- Physical Review X, Vol. 8, Issue 3
Stationary behaviour of observables after a quantum quench in the spin-1/2 Heisenberg XXZ chain
journal, July 2013
- Fagotti, Maurizio; Essler, Fabian H. L.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2013, Issue 07
Open Spin Chain: Nonequilibrium Steady State and a Strict Bound on Ballistic Transport
journal, May 2011
- Prosen, Tomaž
- Physical Review Letters, Vol. 106, Issue 21
Integrable spin chains with random interactions
journal, July 2018
- Essler, Fabian H. L.; van den Berg, Rianne; Gritsev, Vladimir
- Physical Review B, Vol. 98, Issue 2
Time Evolution of Local Observables After Quenching to an Integrable Model
journal, June 2013
- Caux, Jean-Sébastien; Essler, Fabian H. L.
- Physical Review Letters, Vol. 110, Issue 25
Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
journal, June 2016
- Vasseur, Romain; Moore, Joel E.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2016, Issue 6
On entanglement spreading in chaotic systems
journal, May 2017
- Mezei, Márk; Stanford, Douglas
- Journal of High Energy Physics, Vol. 2017, Issue 5
Operator Spreading in Random Unitary Circuits
journal, April 2018
- Nahum, Adam; Vijay, Sagar; Haah, Jeongwan
- Physical Review X, Vol. 8, Issue 2
Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws
journal, April 2018
- von Keyserlingk, C. W.; Rakovszky, Tibor; Pollmann, Frank
- Physical Review X, Vol. 8, Issue 2
A note on generalized hydrodynamics: inhomogeneous fields and other concepts
journal, January 2017
- Doyon, Benjamin; Yoshimura, Takato
- SciPost Physics, Vol. 2, Issue 2
Many-Body Localization in One Dimension as a Dynamical Renormalization Group Fixed Point
journal, February 2013
- Vosk, Ronen; Altman, Ehud
- Physical Review Letters, Vol. 110, Issue 6
Subdiffusive front scaling in interacting integrable models
journal, March 2019
- Bulchandani, Vir B.; Karrasch, Christoph
- Physical Review B, Vol. 99, Issue 12
Many-Body Localization and Thermalization in Quantum Statistical Mechanics
journal, March 2015
- Nandkishore, Rahul; Huse, David A.
- Annual Review of Condensed Matter Physics, Vol. 6, Issue 1
Complete Generalized Gibbs Ensembles in an Interacting Theory
journal, October 2015
- Ilievski, E.; De Nardis, J.; Wouters, B.
- Physical Review Letters, Vol. 115, Issue 15
Drude Weight for the Lieb-Liniger Bose Gas
journal, January 2017
- Doyon, Benjamin; Spohn, Herbert
- SciPost Physics, Vol. 3, Issue 6
Quasilocal charges in integrable lattice systems
journal, June 2016
- Ilievski, Enej; Medenjak, Marko; Prosen, Tomaž
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2016, Issue 6
Kinetic Equation for a Dense Soliton Gas
journal, November 2005
- El, G. A.; Kamchatnov, A. M.
- Physical Review Letters, Vol. 95, Issue 20
Diffusion in generalized hydrodynamics and quasiparticle scattering
journal, January 2019
- De Nardis, Jacopo; Bernard, Denis; Doyon, Benjamin
- SciPost Physics, Vol. 6, Issue 4
Ballistic transport in the one-dimensional Hubbard model: The hydrodynamic approach
journal, August 2017
- Ilievski, Enej; De Nardis, Jacopo
- Physical Review B, Vol. 96, Issue 8
Exact large-scale correlations in integrable systems out of equilibrium
journal, January 2018
- Doyon, Benjamin
- SciPost Physics, Vol. 5, Issue 5
Particle-hole symmetry, many-body localization, and topological edge modes
journal, April 2016
- Vasseur, Romain; Friedman, Aaron J.; Parameswaran, S. A.
- Physical Review B, Vol. 93, Issue 13
A quantum Newton's cradle
journal, April 2006
- Kinoshita, Toshiya; Wenger, Trevor; Weiss, David S.
- Nature, Vol. 440, Issue 7086
Entanglement Tsunami: Universal Scaling in Holographic Thermalization
journal, January 2014
- Liu, Hong; Suh, S. Josephine
- Physical Review Letters, Vol. 112, Issue 1
Transport in out-of-equilibrium XXZ chains: Nonballistic behavior and correlation functions
journal, September 2017
- Piroli, Lorenzo; De Nardis, Jacopo; Collura, Mario
- Physical Review B, Vol. 96, Issue 11
Spread of entanglement and causality
journal, July 2016
- Casini, Horacio; Liu, Hong; Mezei, Márk
- Journal of High Energy Physics, Vol. 2016, Issue 7
Anderson transitions
text, January 2008
- Evers, Ferdinand; Mirlin, Alexander D.
- Universität Regensburg
Many-Body Physics with Ultracold Gases
text, January 2007
- Bloch, Immanuel; Dalibard, Jean; Zwerger, Wilhelm
- arXiv
Breakdown of thermalization in finite one-dimensional systems
text, January 2009
- Rigol, Marcos
- arXiv
Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
text, January 2011
- Prosen, Tomaz
- arXiv
Constructing the generalized Gibbs ensemble after a quantum quench
text, January 2012
- Caux, Jean-Sébastien; Konik, Robert M.
- arXiv
Many-body localization in one dimension as a dynamical renormalization group fixed point
text, January 2012
- Vosk, Ronen; Altman, Ehud
- arXiv
Time evolution of local observables after quenching to an integrable model
text, January 2013
- Caux, Jean-Sebastien; Essler, Fabian H. L.
- arXiv
Entanglement Tsunami: Universal Scaling in Holographic Thermalization
text, January 2013
- Liu, Hong; Suh, S. Josephine
- arXiv
Many body localization and thermalization in quantum statistical mechanics
text, January 2014
- Nandkishore, Rahul; Huse, David A.
- arXiv
State preservation by repetitive error detection in a superconducting quantum circuit
text, January 2014
- Kelly, J.; Barends, R.; Fowler, A. G.
- arXiv
Complete Generalized Gibbs Ensemble in an interacting Theory
text, January 2015
- Ilievski, Enej; De Nardis, Jacopo; Wouters, Bram
- arXiv
Spread of entanglement and causality
text, January 2015
- Casini, Horacio; Liu, Hong; Mezei, Márk
- arXiv
From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
text, January 2015
- D'Alessio, Luca; Kafri, Yariv; Polkovnikov, Anatoli
- arXiv
Quasilocal charges in integrable lattice systems
text, January 2016
- Ilievski, Enej; Medenjak, Marko; Prosen, Tomaz
- arXiv
Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
text, January 2016
- Vasseur, Romain; Moore, Joel E.
- arXiv
Emergent hydrodynamics in integrable quantum systems out of equilibrium
text, January 2016
- Castro-Alvaredo, Olalla A.; Doyon, Benjamin; Yoshimura, Takato
- arXiv
Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
text, January 2016
- Bertini, Bruno; Collura, Mario; De Nardis, Jacopo
- arXiv
A note on generalized hydrodynamics: inhomogeneous fields and other concepts
text, January 2016
- Doyon, Benjamin; Yoshimura, Takato
- arXiv
Microscopic origin of ideal conductivity in integrable quantum models
text, January 2017
- Ilievski, Enej; De Nardis, Jacopo
- arXiv
Operator Spreading in Random Unitary Circuits
text, January 2017
- Nahum, Adam; Vijay, Sagar; Haah, Jeongwan
- arXiv
Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
text, January 2017
- Ilievski, Enej; De Nardis, Jacopo
- arXiv
Analytic solution of the Domain Wall non-equilibrium stationary state
text, January 2017
- Collura, Mario; De Luca, Andrea; Viti, Jacopo
- arXiv
Incomplete thermalization from trap-induced integrability breaking: lessons from classical hard rods
text, January 2017
- Cao, Xiangyu; Bulchandani, Vir B.; Moore, Joel E.
- arXiv
Integrable spin chains with random interactions
text, January 2018
- Essler, Fabian H. L.; Berg, Rianne van den; Gritsev, Vladimir
- arXiv
Operator growth and eigenstate entanglement in an interacting integrable Floquet system
text, January 2018
- Gopalakrishnan, Sarang
- arXiv
Diffusive Heat Waves in Random Conformal Field Theory
text, January 2018
- Langmann, Edwin; Moosavi, Per
- arXiv
Subdiffusive front scaling in interacting integrable models
text, January 2018
- Bulchandani, Vir B.; Karrasch, Christoph
- arXiv
Diffusion in generalized hydrodynamics and quasiparticle scattering
text, January 2018
- De Nardis, Jacopo; Bernard, Denis; Doyon, Benjamin
- arXiv
Time-dependence of correlation functions following a quantum quench
text, January 2006
- Calabrese, Pasquale; Cardy, John
- arXiv
Thermodynamics of Integrable Chains with Alternating Spins
text, January 1993
- de Vega, H. J.; Mezincescu, Luca; Nepomechie, Rafael I.
- arXiv
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