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General description for nonequilibrium steady states in periodically driven dissipative quantum systems.

Tatsuhiko N Ikeda1, Masahiro Sato2

  • 1Institute for Solid State Physics, University of Tokyo, Kashiwa 277-8581, Japan. tikeda@issp.u-tokyo.ac.jp masahiro.sato.phys@vc.ibaraki.ac.jp.

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This study introduces a general description for nonequilibrium steady states (NESSs) in driven dissipative quantum systems. This advances Floquet engineering for real-world materials by accounting for energy dissipation.

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Area of Science:

  • Quantum physics
  • Light-matter interactions
  • Condensed matter physics

Background:

  • Laser technology accelerates photo-induced nonequilibrium physics.
  • Floquet engineering controls material properties with time-periodic drives.
  • Current Floquet engineering is limited to ideal dissipationless systems.

Purpose of the Study:

  • To derive a general description for nonequilibrium steady states (NESSs).
  • To extend Floquet engineering to dissipative quantum systems.
  • To understand quantum states in driven-dissipative systems.

Main Methods:

  • Focusing on high-frequency drives and time-independent Lindblad-type dissipation.
  • Developing a general formula for NESS properties.
  • Enabling efficient numerical computation of NESS.

Main Results:

  • A general formula describing NESS time average, fluctuation, and symmetry properties.
  • The formula is applicable to periodically driven dissipative systems.
  • The approach is computationally efficient.

Conclusions:

  • This work provides a fundamental framework for Floquet engineering in dissipative systems.
  • It enables the study of quantum states in realistic driven materials.
  • The approach has broad applications from atomic to condensed matter systems.