Absence of Ergodicity without Quenched Disorder: From Quantum Disentangled Liquids to Many-Body Localization

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Title: Absence of Ergodicity without Quenched Disorder: From Quantum Disentangled Liquids to Many-Body Localization
Author(s): Smith, A
Knolle, J
Moessner, R
Kovrizhin, DL
Item Type: Journal Article
Abstract: We study the time evolution after a quantum quench in a family of models whose degrees of freedom are fermions coupled to spins, where quenched disorder appears neither in the Hamiltonian parameters nor in the initial state. Focusing on the behavior of entanglement, both spatial and between subsystems, we show that the model supports a state exhibiting combined area and volume-law entanglement, being characteristic of the quantum disentangled liquid. This behavior appears for one set of variables, which is related via a duality mapping to another set, where this structure is absent. Upon adding density interactions between the fermions, we identify an exact mapping to an XXZ spin chain in a random binary magnetic field, thereby establishing the existence of many-body localization with its logarithmic entanglement growth in a fully disorder-free system.
Publication Date: 25-Oct-2017
Date of Acceptance: 1-Oct-2017
URI: http://hdl.handle.net/10044/1/54671
DOI: https://dx.doi.org/10.1103/PhysRevLett.119.176601
ISSN: 0031-9007
Publisher: American Physical Society
Journal / Book Title: PHYSICAL REVIEW LETTERS
Volume: 119
Issue: 17
Copyright Statement: © 2017 American Physical Society
Keywords: Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
THERMALIZATION
TRANSITION
SYSTEMS
LATTICE
cond-mat.str-el
cond-mat.str-el
02 Physical Sciences
General Physics
Publication Status: Published
Article Number: ARTN 176601
Appears in Collections:Condensed Matter Theory
Physics
Faculty of Natural Sciences



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