Environment-controlled Floquet-state paramagnetism

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.

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“…This solution is characterized by Eq. ( 87) as m W nm P ss m − W mn P ss n = 0 , (90) which is equivalent to…”

Section: Floquet-lindblad Equation and Its Characteristic Propertiesmentioning

confidence: 99%

“…For simplicity, we neglect the Lamb shift. In the absence of nematic terms N z and N x y , this model has recently been analyzed for a general spin S, and the environment-controlled Floquet-state paramagnetism has been proposed [90].…”

Section: Example 3: Three-level System Revisited and Deviation From Fgsmentioning

confidence: 99%

Nonequilibrium steady states in the Floquet-Lindblad systems: van Vleck's high-frequency expansion approach

2021

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“…For simplicity, we neglect the Lamb shift. In the absence of nematic terms N z and N xy , this model has recently been analyzed for a general spin S, and the environment-controlled Floquet-state paramagnetism has been proposed [87].…”

Section: Implementation Of High-frequency Expansionmentioning

confidence: 99%

Nonequilibrium steady states in the Floquet-Lindblad systems: van Vleck's high-frequency expansion approach

Ikeda,

Chinzei,

Sato

2021

Preprint

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Nonequilibrium steady states (NESSs) in periodically driven dissipative quantum systems are vital in Floquet engineering. Here, for high-frequency drives with Lindblad-type dissipation, we develop a general theory to characterize and analyze NESSs based on the high-frequency (HF) expansion without numerically solving the time evolution. This theory shows that NESSs can deviate from the Floquet-Gibbs state depending on the dissipation type. We 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.

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The Rabi problem with elliptical polarization

Schmidt

2020

Zeitschrift Für Naturforschung A

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We consider the solution of the equation of motion of a classical/quantum spin subject to a monochromatical, elliptically polarized external field. The classical Rabi problem can be reduced to third-order differential equations with polynomial coefficients and hence solved in terms of power series in close analogy to the confluent Heun equation occurring for linear polarization. Application of Floquet theory yields physically interesting quantities like the quasienergy as a function of the problem’s parameters and expressions for the Bloch–Siegert shift of resonance frequencies. Various limit cases are thoroughly investigated.

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Environment-controlled Floquet-state paramagnetism

Cited by 4 publications

References 24 publications

Nonequilibrium steady states in the Floquet-Lindblad systems: van Vleck's high-frequency expansion approach

Nonequilibrium steady states in the Floquet-Lindblad systems: van Vleck's high-frequency expansion approach

Nonequilibrium steady states in the Floquet-Lindblad systems: van Vleck's high-frequency expansion approach

The Rabi problem with elliptical polarization

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