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Floquet quantum criticality.

William Berdanier1, Michael Kolodrubetz2,3,4, S A Parameswaran5

  • 1Department of Physics, University of California, Berkeley, CA 94720; wberdanier@berkeley.edu.

Proceedings of the National Academy of Sciences of the United States of America
|August 31, 2018
PubMed
Summary
This summary is machine-generated.

We reveal how transitions in periodically driven quantum systems are governed by infinite randomness. This physics explains critical behavior and the emergence of novel "Floquet time crystals" in one-dimensional models.

Keywords:
disordered systemsmany-body localizationnonperturbative argumentsperiodically driven systemsquantum criticality

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Area of Science:

  • Condensed Matter Physics
  • Quantum Dynamics
  • Statistical Mechanics

Background:

  • Periodically driven quantum systems, known as Floquet systems, exhibit unique phases and transitions.
  • Understanding these transitions is crucial for exploring novel quantum phenomena.
  • Disorder plays a significant role in controlling the behavior of such systems.

Purpose of the Study:

  • To investigate the nature of phase transitions in one-dimensional periodically driven systems.
  • To identify the universal mechanisms controlling these transitions.
  • To provide a theoretical framework for understanding Floquet criticality and time crystals.

Main Methods:

  • Utilizing infinite-randomness fixed points of strong-disorder renormalization group procedures.
  • Employing the fermionic representation of the one-dimensional Floquet Ising chain.
  • Conducting numerical simulations of free-fermion models.

Main Results:

  • Phase transitions in these systems are generically controlled by infinite-randomness fixed points.
  • A novel type of domain wall, linked to time-translation symmetry breaking, characterizes Floquet criticality.
  • The framework successfully describes the formation of "Floquet time crystals".

Conclusions:

  • Infinite randomness physics offers a simplified description of complex phenomena in Floquet systems.
  • The identified domain wall mechanism is key to understanding Floquet (multi)criticality.
  • Numerical validation supports the theoretical predictions for Floquet time crystal formation.