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Eigenstate phase transitions and the emergence of universal dynamics in highly excited states

Journal Article · · Annalen der Physik (Leipzig)
 [1];  [2];  [3]
  1. Department of Physics and Astronomy University of California Irvine CA 92697 USA, California Institute for Quantum Emulation (CAIQuE) Elings Hall University of California Santa Barbara CA 93106 USA
  2. Department of Physics University of Texas at Austin Austin TX 78712 USA
  3. Department of Physics University of California Berkeley CA 94720 USA, Materials Science Division Lawrence Berkeley National Laboratories Berkeley CA 94720

We review recent advances in understanding the universal scaling properties of non‐equilibrium phase transitions in non‐ergodic disordered systems. We discuss dynamical critical points (also known as eigenstate phase transitions) between different many‐body localized (MBL) phases, and between MBL and thermal phases. image

Sponsoring Organization:
USDOE
OSTI ID:
1401272
Journal Information:
Annalen der Physik (Leipzig), Journal Name: Annalen der Physik (Leipzig) Journal Issue: 7 Vol. 529; ISSN 0003-3804
Publisher:
Wiley Blackwell (John Wiley & Sons)Copyright Statement
Country of Publication:
Germany
Language:
English

References (90)

Local integrals of motion in many-body localized systems: Local integrals of motion in many-body localized systems journal May 2017
The Finite Group Velocity of Quantum Spin Systems book January 1972
On Many-Body Localization for Quantum Spin Chains journal April 2016
Geometric and renormalized entropy in conformal field theory journal August 1994
Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states journal May 2006
Integrals of motion in the many-body localized phase journal February 2015
Quantum entanglement in condensed matter systems journal August 2016
Quantum Phase Transitions book January 2011
Thermalization and its mechanism for generic isolated quantum systems journal April 2008
Exotic non-Abelian anyons from conventional fractional quantum Hall states journal January 2013
Localization and topology protected quantum coherence at the edge of hot matter journal July 2015
Effect of random defects on the critical behaviour of Ising models journal May 1974
Strongly disordered chain of impedances: theoretical analysis and numerical results journal April 1990
Entanglement entropy and quantum field theory journal June 2004
An area law for one-dimensional quantum systems journal August 2007
Parafermionic edge zero modes in Z n -invariant spin chains journal November 2012
Area laws in a many-body localized state and its implications for topological order journal September 2013
Many-body localization: construction of the emergent local conserved operators via block real-space renormalization journal March 2016
Quench dynamics and relaxation in isolated integrable quantum spin chains journal June 2016
Generalized Gibbs ensemble in integrable lattice models journal June 2016
Nonequilibrium quantum dynamics and transport: from integrability to many-body localization journal June 2016
Absence of Diffusion in Certain Random Lattices journal March 1958
Quantum statistical mechanics in a closed system journal February 1991
Interactions and the Anderson transition journal March 1980
Low-temperature properties of the random Heisenberg antiferromagnetic chain journal August 1980
Random antiferromagnetic quantum spin chains journal August 1994
Griffiths effects and quantum critical points in dirty superconductors without spin-rotation invariance: One-dimensional examples journal May 2001
Localization of interacting fermions at high temperature journal April 2007
Many-body localization in the Heisenberg X X Z magnet in a random field journal February 2008
c -theorem violation for effective central charge of infinite-randomness fixed points journal December 2008
Permutation-symmetric critical phases in disordered non-Abelian anyonic chains journal April 2009
Many-body localization phase transition journal November 2010
Superconducting proximity effect on the edge of fractional topological insulators journal November 2012
Localization-protected quantum order journal July 2013
Many-body localization and symmetry-protected topological order journal April 2014
Phenomenology of fully many-body-localized systems journal November 2014
Excited-state entanglement and thermal mutual information in random spin chains journal December 2014
Mean-field theory of nearly many-body localized metals journal December 2014
Many-body localization edge in the random-field Heisenberg chain journal February 2015
Quantum revivals and many-body localization journal April 2015
Spectral tensor networks for many-body localization journal July 2015
Stroboscopic symmetry-protected topological phases journal September 2015
Absence of many-body mobility edges journal January 2016
Extended slow dynamical regime close to the many-body localization transition journal February 2016
Entanglement holographic mapping of many-body localized system by spectrum bifurcation renormalization group journal March 2016
Griffiths effects and slow dynamics in nearly many-body localized systems journal April 2016
Particle-hole symmetry, many-body localization, and topological edge modes journal April 2016
Spin transport of weakly disordered Heisenberg chain at infinite temperature journal June 2016
Disordered XYZ spin chain simulations using the spectrum bifurcation renormalization group journal July 2016
Efficient variational diagonalization of fully many-body localized Hamiltonians journal July 2016
Dynamical conductivity and its fluctuations along the crossover to many-body localization journal July 2016
Typicality approach to the optical conductivity in thermal and many-body localized phases journal November 2016
Symmetry constraints on many-body localization journal December 2016
Chaos and quantum thermalization journal August 1994
Unbounded Growth of Entanglement in Models of Many-Body Localization journal July 2012
Many-Body Localization in One Dimension as a Dynamical Renormalization Group Fixed Point journal February 2013
Universal Slow Growth of Entanglement in Interacting Strongly Disordered Systems journal June 2013
Local Conservation Laws and the Structure of the Many-Body Localized States journal September 2013
Dynamical Quantum Phase Transitions in Random Spin Chains journal May 2014
Many-Body Localization in a Disordered Quantum Ising Chain journal September 2014
Interferometric Probes of Many-Body Localization journal October 2014
Absence of Diffusion in an Interacting System of Spinless Fermions on a One-Dimensional Disordered Lattice journal March 2015
Many-Body Localization in Periodically Driven Systems journal April 2015
Anomalous Diffusion and Griffiths Effects Near the Many-Body Localization Transition journal April 2015
Quantum Criticality of Hot Random Spin Chains journal May 2015
Fate of Many-Body Localization Under Periodic Driving journal July 2015
Coupling Identical one-dimensional Many-Body Localized Systems journal April 2016
Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain journal July 2016
Diffusive and Subdiffusive Spin Transport in the Ergodic Phase of a Many-Body Localizable System journal July 2016
Random Antiferromagnetic Chain journal November 1979
Scaling Studies of Highly Disordered Spin-½ Antiferromagnetic Systems journal February 1982
Finite-Size Scaling and Correlation Lengths for Disordered Systems journal December 1986
Random transverse field Ising spin chains journal July 1992
Average entropy of a subsystem journal August 1993
Random Quantum Spin Chains: A Real-Space Renormalization Group Study journal December 1995
Permutation-Symmetric Multicritical Points in Random Antiferromagnetic Spin Chains journal December 2002
Entanglement Entropy of Random Quantum Critical Points in One Dimension journal December 2004
Interacting Electrons in Disordered Wires: Anderson Localization and Low- T Transport journal November 2005
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
Interacting Anyons in Topological Quantum Liquids: The Golden Chain journal April 2007
Infinite-Randomness Fixed Points for Chains of Non-Abelian Quasiparticles journal October 2007
Theory of the Many-Body Localization Transition in One-Dimensional Systems journal September 2015
Continuous quantum phase transitions journal January 1997
Non-Abelian anyons and topological quantum computation journal September 2008
Observation of many-body localization of interacting fermions in a quasirandom optical lattice journal July 2015
Exploring the many-body localization transition in two dimensions journal June 2016
A Short Introduction to Fibonacci Anyon Models journal January 2008
Topological Phases with Parafermions: Theory and Blueprints journal March 2016
Universal Dynamics and Renormalization in Many-Body-Localized Systems journal March 2015
Many-Body Localization and Thermalization in Quantum Statistical Mechanics journal March 2015

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