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Title: Strong-disorder renormalization group for periodically driven systems

Journal Article · · Physical Review B
 [1];  [2];  [3];  [4]
  1. Univ. of California, Berkeley, CA (United States)
  2. The Univ. of Texas at Dallas, Richardson, TX (United States)
  3. Univ. of Oxford, Oxford (United Kingdom)
  4. Univ. of Massachusetts, Amherst, MA (United States)

Quenched randomness can lead to robust nonequilibrium phases of matter in periodically driven (Floquet) systems. Analyzing transitions between such dynamical phases requires a method capable of treating the twin complexities of disorder and discrete time-translation symmetry. We introduce a real-space renormalization group approach, asymptotically exact in the strong-disorder limit, and exemplify its use on the periodically driven interacting quantum Ising model. As a result, we analyze the universal physics near the critical lines and multicritical point of this model, and demonstrate the robustness of our results to the inclusion of weak interactions.

Research Organization:
Univ. of Massachusetts, Amherst, MA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE
Grant/Contract Number:
SC0019168; AC02-05CH11231
OSTI ID:
1481395
Alternate ID(s):
OSTI ID: 1481457
Journal Information:
Physical Review B, Vol. 98, Issue 17; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 8 works
Citation information provided by
Web of Science

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A theory of many-body localization in periodically driven systems text January 2014
Exponentially slow heating in periodically driven many-body systems text January 2015
Floquet engineering of correlated tunneling in the Bose-Hubbard model with ultracold atoms text January 2016
Classification of topological phases in periodically driven interacting systems text January 2016
Nonequilibrium quantum dynamics and transport: from integrability to many-body localization text January 2016
Pre-thermal phases of matter protected by time-translation symmetry text January 2016
Discrete time crystals: rigidity, criticality, and realizations text January 2016
Observation of a Discrete Time Crystal text January 2016
Floquet topological phases with symmetry in all dimensions text January 2016
Defining Time Crystals via Representation Theory text January 2016
Periodically driven random quantum spin chains : Real-Space Renormalization for Floquet localized phases text January 2017
Critical Time Crystals in Dipolar Systems text January 2017
Floquet Quantum Criticality text January 2018
Eigenstate Thermalization Hypothesis text January 2018
Dynamics and transport in random quantum systems governed by strong-randomness fixed points text January 2000
Permutation-Symmetric Multicritical Points in Random Antiferromagnetic Spin Chains text January 2002
Entanglement entropy of random quantum critical points in one dimension text January 2004
Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states text January 2005
Localization of interacting fermions at high temperature text January 2006
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Strong disorder RG approach – a short review of recent developments journal November 2018

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