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We review the non-equilibrium dynamics of many-body quantum systems after a quantum quench with spatial inhomogeneities, either in the Hamiltonian or in the initial state.
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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
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Localization of interacting fermions at high temperature
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Interacting anyons in topological quantum liquids: The golden chain
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Infinite-randomness fixed points for chains of non-abelian quasiparticles
N. E. Bonesteel and K. Yang · 2007
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Signatures of diffusion and ballistic transport in the stiffness, dynamical correlation functions, and statistics of one-dimensional systems
S. Mukerjee and B. S. Shastry · 2008
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Inhomogeneous quantum quenches
S. Sotiriadis and J. Cardy · 2008
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M. Rigol, V. Dunjko and M. Olshanii · 2008
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Many-body localization in the heisenberg xxz magnet in a random field
M. Žnidarič, T. c. v. Prosen and P. Prelovšek · 2008
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A short introduction to fibonacci anyon models
S. Trebst, M. Troyer, Z. Wang and A. W. W. Ludwig · 2008
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c c -theorem violation for effective central charge of infinite-randomness fixed points
L. Fidkowski, G. Refael, N. E. Bonesteel and J. E. Moore · 2008
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Diffusion and ballistic transport in one-dimensional quantum systems
J. Sirker, R. G. Pereira and I. Affleck · 2009
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Permutation-symmetric critical phases in disordered non-abelian anyonic chains
L. Fidkowski, H.-H. Lin, P. Titum and G. Refael · 2009
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Fermionization dynamics of a strongly interacting one-dimensional bose gas after an interaction quench
D. Muth, B. Schmidt and M. Fleischhauer · 2010
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Exact methods in the analysis of the non-equilibrium dynamics of integrable models: application to the study of correlation functions for non-equilibrium 1d bose gas
V. Gritsev, T. Rostunov and E. Demler · 2010
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A. Pal and D. A. Huse · 2010
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Open x x z xxz spin chain: Nonequilibrium steady state and a strict bound on ballistic transport
T. c. v. Prosen · 2011
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Conservation laws, integrability, and transport in one-dimensional quantum systems
J. Sirker, R. G. Pereira and I. Affleck · 2011
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Finite-temperature dynamical density matrix renormalization group and the drude weight of spin- 1 / 2 1/2 chains
C. Karrasch, J. H. Bardarson and J. E. Moore · 2012
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Energy flow in non-equilibrium conformal field theory
D. Bernard and B. Doyon · 2012
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Constructing the generalized gibbs ensemble after a quantum quench
J.-S. Caux and R. M. Konik · 2012
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Quench dynamics of the interacting bose gas in one dimension
D. Iyer and N. Andrei · 2012
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Unbounded growth of entanglement in models of many-body localization
J. H. Bardarson, F. Pollmann and J. E. Moore · 2012
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Local conservation laws and the structure of the many-body localized states
M. Serbyn, Z. Papić and D. A. Abanin · 2013
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Many-body localization in one dimension as a dynamical renormalization group fixed point
R. Vosk and E. Altman · 2013
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Many-body localization edge in the random-field heisenberg chain
D. J. Luitz, N. Laflorencie and F. Alet · 2015
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Universal dynamics and renormalization in many-body-localized systems
E. Altman and R. Vosk · 2015
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Fate of many-body localization under periodic driving
A. Lazarides, A. Das and R. Moessner · 2015
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Many-body localization in periodically driven systems
P. Ponte, Z. Papić, F. m. c. Huveneers and D. A. Abanin · 2015
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Periodically driven ergodic and many-body localized quantum systems
P. Ponte, A. Chandran, Z. Papić and D. A. Abanin · 2015
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On the phase structure of driven quantum systems
V. Khemani, A. Lazarides, R. Moessner and S. L. Sondhi · 2015
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Scaling of electrical and thermal conductivities in an almost integrable chain
Y. Huang, C. Karrasch and J. E. Moore · 2013
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Nonequilibrium thermal transport and its relation to linear response
C. Karrasch, R. Ilan and J. E. Moore · 2013
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Time evolution of local observables after quenching to an integrable model
J.-S. Caux and F. H. L. Essler · 2013
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Expansion dynamics of interacting bosons in homogeneous lattices in one and two dimensions
J. P. Ronzheimer, M. Schreiber, S. Braun, S. S. Hodgman, S. Langer, I. P. McCulloch, F. Heidrich-Meisner, I. Bloch and U. Schneider · 2013
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Area laws in a many-body localized state and its implications for topological order
B. Bauer and C. Nayak · 2013
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Universal slow growth of entanglement in interacting strongly disordered systems
M. Serbyn, Z. Papić and D. A. Abanin · 2013
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Many-body localization proximity effect
R. Nandkishore · 2015
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Many-body delocalization in a strongly disordered system with long-range interactions: Finite-size scaling
A. L. Burin · 2015
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Many-body localization and quantum ergodicity in disordered long-range ising models
P. Hauke and M. Heyl · 2015
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Integrals of motion in the many-body localized phase
V. Ros, M. Müller and A. Scardicchio · 2015
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Quantum revivals and many-body localization
R. Vasseur, S. A. Parameswaran and J. E. Moore · 2015
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Probing many-body localization by spin noise spectroscopy
D. Roy, R. Singh and R. Moessner · 2015
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Localization and topology protected quantum coherence at the edge of hot matter
Y. Bahri, R. Vosk, E. Altman and A. Vishwanath · 2015
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Many-body localization of symmetry protected topological states
K. Slagle, B. Zhen, Y.-Z. You and C. Xu · 2015
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Protection of topological order by symmetry and many-body localization
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Many-Body Localization : construction of the emergent local conserved operators via block real-space renormalization
C. Monthus · 2015
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Entanglement Holographic Mapping of Many-Body Localized System by Spectrum Bifurcation Renormalization Group
Y.-Z. You, X.-L. Qi and C. Xu · 2015
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Quantum entanglement in condensed matter systems
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Universal properties of many-body delocalization transitions
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Finite size scaling bounds on many-body localized phase transitions
A. Chandran, C. R. Laumann and V. Oganesyan · 2015
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Theory of the many-body localization transition in one-dimensional systems
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Criterion for many-body localization-delocalization phase transition
M. Serbyn, Z. Papić and D. A. Abanin · 2015
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Absence of diffusion in an interacting system of spinless fermions on a one-dimensional disordered lattice
Y. Bar Lev, G. Cohen and D. R. Reichman · 2015
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Anomalous diffusion and griffiths effects near the many-body localization transition
K. Agarwal, S. Gopalakrishnan, M. Knap, M. Müller and E. Demler · 2015
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Low-frequency conductivity in many-body localized systems
S. Gopalakrishnan, M. Müller, V. Khemani, M. Knap, E. Demler and D. A. Huse · 2015
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Level repulsion exponent β \beta for Many-Body Localization Transitions and for Anderson Localization Transitions via Dyson Brownian Motion
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Non-ergodic metallic and insulating phases of Josephson junction chains
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The eightfold way to dissipation
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Prethermalization and universal dynamics in near-integrable quantum systems
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Generalized Gibbs ensemble in integrable lattice models
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Quantum Quenches in the Luttinger model and its close relatives
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Quantum quenches in 1+1 dimensional conformal field theories
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Extended slow dynamical regime close to the many-body localization transition
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Spectral statistics across the many-body localization transition
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