Periodic thermodynamics of the Rabi model with circular polarization for arbitrary spin quantum numbers

Abstract

We consider a spin $s$ subjected to both a static and an orthogonally applied oscillating, circularly polarized magnetic field while being coupled to a heat bath, and analytically determine the quasi\-stationary distribution of its Floquet-state occupation probabilities for arbitrarily strong driving. This distribution is shown to be Boltzmannian with a quasitemperature which is different from the temperature of the bath, and independent of the spin quantum number. We discover a remarkable formal analogy between the quasithermal magnetism of the nonequilibrium steady state of a driven ideal paramagnetic material, and the usual thermal paramagnetism. Nonetheless, the response of such a material to the combined fields is predicted to show several unexpected features, even allowing one to turn a paramagnet into a diamagnet under strong driving. Thus, we argue that experimental measurements of this response may provide key paradigms for the emerging field of periodic thermodynamics.

arXiv comment12 figures, 2 additional appendices

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Cited by in corpus (11)

• General description for nonequilibrium steady states in periodically driven dissipative quantum systems
• Nonequilibrium steady states in the Floquet-Lindblad systems: van Vleck's high-frequency expansion approach
• Periodic thermodynamics of the parametrically driven harmonic oscillator
• Holographic Floquet states in low dimensions (II)
• Spin dynamics under the influence of elliptically rotating fields: Extracting the field topology from time-averaged quantities
• A framework for sequential measurements and general Jarzynski equations
• Engineering nonequilibrium steady states through Floquet Liouvillians
• Theory of Non-equilibrium Asymptotic State Thermodynamics: Interacting Ehrenfest Urn Ring as an Example
• Periodic thermodynamics of a two spin Rabi model
• Environment-controlled Floquet-state paramagnetism
• The Rabi problem with elliptic polarization