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Updated: Feb 9, 2026

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

9.0K

Floquet Supersymmetry.

Thomas Iadecola1,2,3, Timothy H Hsieh2,4

  • 1Physics Department, Boston University, Boston, Massachusetts 02215, USA.

Physical Review Letters
|June 9, 2018
PubMed
Summary
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Time-reflection symmetry in periodically driven quantum systems reveals a novel phenomenon akin to supersymmetry. This Floquet supersymmetry leads to protected states and fermion-boson pairing, offering experimental signatures.

Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Non-equilibrium dynamics

Background:

  • Periodically driven (Floquet) quantum systems exhibit unique phenomena beyond equilibrium.
  • Quantum mechanical supersymmetry provides a framework for understanding symmetries and degeneracies.
  • Time-reversal symmetry plays a crucial role in many physical systems.

Purpose of the Study:

  • To explore the implications of time-reflection symmetry in Floquet quantum systems.
  • To investigate the existence of Floquet analogs of supersymmetry and their properties.
  • To identify experimental signatures of this phenomenon.

Main Methods:

  • Theoretical analysis of time-reflection symmetry in Floquet systems.
  • Introduction of Floquet analogs of the Witten index.

Related Experiment Videos

Last Updated: Feb 9, 2026

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

9.0K
  • Construction of disordered, interacting, and ergodic Floquet models.

    • Main Results:

    • Discovery of a nonequilibrium phenomenon analogous to quantum supersymmetry in Floquet systems.
    • Identification of Floquet Witten index analogs bounding state degeneracies at quasienergies 0 and π.
    • Demonstration of time-reflection symmetry interchanging fermions and bosons, creating quasienergy pairs.
    • Construction of models with exponentially many robust states at quasienergies 0 and π.

    Conclusions:

    • Time-reflection symmetry in Floquet systems leads to a robust, nonequilibrium phenomenon termed Floquet supersymmetry.
    • This supersymmetry provides protection for states at specific quasienergies and can induce fermion-boson pairing.
    • Observable signatures like period-doubling in local observables offer experimental verification avenues.