SciPost Physics Core

SciPost Phys. Core 4, 033 (2021) · published 24 December 2021

• doi: 10.21468/SciPostPhysCore.4.4.033
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Abstract

Nonequilibrium steady states (NESSs) in periodically driven dissipative quantum systems are vital in Floquet engineering. We develop a general theory for high-frequency drives with Lindblad-type dissipation to characterize and analyze NESSs. This theory is based on the high-frequency (HF) expansion with linear algebraic numerics and without numerically solving the time evolution. Using this theory, we show that NESSs can deviate from the Floquet-Gibbs state depending on the dissipation type. We also show the validity and usefulness of the HF-expansion approach in concrete models for a diamond nitrogen-vacancy (NV) center, a kicked open XY spin chain with topological phase transition under boundary dissipation, and the Heisenberg spin chain in a circularly-polarized magnetic field under bulk dissipation. In particular, for the isotropic Heisenberg chain, we propose the dissipation-assisted terahertz (THz) inverse Faraday effect in quantum magnets. Our theoretical framework applies to various time-periodic Lindblad equations that are currently under active research.

• Novičenko et al., Flow-equation approach to quantum systems driven by an amplitude-modulated time-periodic force
  Phys. Rev. A 105, 012203 (2022) [Crossref]
• Castro et al., Optimizing Floquet engineering for non-equilibrium steady states with gradient-based methods
  SciPost Phys. 15, 029 (2023) [Crossref]
• Moca et al., PT -symmetry phase transition in a Bose-Hubbard model with localized gain and loss
  Phys. Rev. B 107, 115111 (2023) [Crossref]
• Chen et al., Periodically driven open quantum systems: Spectral properties and nonequilibrium steady states
  Phys. Rev. B 109, 184309 (2024) [Crossref]
• Kaneko et al., Floquet systems with continuous dynamical symmetries: characterization, time-dependent noether charge, and solvability
  Phys. Scr. 99, 085231 (2024) [Crossref]
• Peri et al., Beyond-adiabatic Quantum Admittance of a Semiconductor Quantum Dot at High Frequencies: Rethinking Reflectometry as Polaron Dynamics
  Quantum 8, 1294 1294 (2024) [Crossref]
• Minganti et al., Arnoldi-Lindblad time evolution: Faster-than-the-clock algorithm for the spectrum of time-independent and Floquet open quantum systems
  Quantum 6, 649 649 (2022) [Crossref]
• Mikawa et al., Electron-spin double resonance of nitrogen-vacancy centers in diamond under a strong driving field
  Phys. Rev. A 108, 012610 (2023) [Crossref]
• Terada et al., Limitations and improvements of the relaxation time approximation in the quantum master equation: Linear conductivity in insulating systems
  Phys. Rev. B 109, L180302 (2024) [Crossref]
• Schnell et al., Floquet-heating-induced Bose condensation in a scarlike mode of an open driven optical-lattice system
  Phys. Rev. A 107, L021301 (2023) [Crossref]
• Vogl et al., Light driven magnetic transitions in transition metal dichalcogenide heterobilayers
  J. Phys.: Condens. Matter 35, 095801 (2023) [Crossref]
• Tanaka et al., Theory of the inverse Faraday effect in dissipative Rashba electron systems: Floquet engineering perspective
  Phys. Rev. B 110, 045204 (2024) [Crossref]
• Chinzei et al., Criticality and rigidity of dissipative discrete time crystals in solids
  Phys. Rev. Research 4, 023025 (2022) [Crossref]
• Cheng et al., Matrix product operator approach to nonequilibrium Floquet steady states
  Phys. Rev. B 106, L220307 (2022) [Crossref]
• Mori, Floquet States in Open Quantum Systems
  Annu. Rev. Condens. Matter Phys. 14, 35 (2023) [Crossref]
• Mori et al., Symmetrized Liouvillian Gap in Markovian Open Quantum Systems
  Phys. Rev. Lett. 130, 230404 (2023) [Crossref]