scholarly journals Classification of symmetry-protected topological many-body localized phases in one dimension

2020 ◽  
Vol 32 (30) ◽  
pp. 305601 ◽  
Author(s):  
Amos Chan ◽  
Thorsten B Wahl
Keyword(s):  
One Dimension ◽  
Many Body ◽  
Symmetry Protected

scholarly journals Topology and Broken Symmetry in Floquet Systems

2020 ◽  
Vol 11 (1) ◽  
pp. 345-368 ◽  
Author(s):  
Fenner Harper ◽  
Rahul Roy ◽  
Mark S. Rudner ◽  
S.L. Sondhi
Keyword(s):  
Prima Facie ◽  
Particle Systems ◽  
Many Body ◽  
Nontrivial Behavior ◽  
Interacting Systems ◽  
State Of Affairs ◽  
Main Ideas ◽  
Nontrivial Topology ◽  
Infinite Temperature

Floquet systems are governed by periodic, time-dependent Hamiltonians. Prima facie they should absorb energy from the external drives involved in modulating their couplings and heat up to infinite temperature. However, this unhappy state of affairs can be avoided in many ways. Instead, as has become clear from much recent work, Floquet systems can exhibit a variety of nontrivial behavior—some of which is impossible in undriven systems. In this review, we describe the main ideas and themes of this work: novel Floquet drives that exhibit nontrivial topology in single-particle systems, the existence and classification of exotic Floquet drives in interacting systems, and the attendant notion of many-body Floquet phases and arguments for their stability to heating.

scholarly journals Slow Many-Body Delocalization beyond One Dimension

2020 ◽  
Vol 125 (15) ◽  
Author(s):  
Elmer V. H. Doggen ◽  
Igor V. Gornyi ◽  
Alexander D. Mirlin ◽  
Dmitry G. Polyakov
Keyword(s):  
One Dimension ◽  
Many Body

scholarly journals Classification of Interacting Topological Floquet Phases in One Dimension

2016 ◽  
Vol 6 (4) ◽  
Author(s):  
Andrew C. Potter ◽  
Takahiro Morimoto ◽  
Ashvin Vishwanath
Keyword(s):  
One Dimension
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