Interaction of a quantum field with a rotating heat bath

Abstract

The linear coupling of a rotating heat bath to a quantum field is studied in the framework of the Markovian master equation for the field's nonunitary time evolution. The bath's rotation induces population inversion for the field's low-energy modes. For bosons, this leads to superradiance, an irreversible process in which some of the bath's kinetic energy is extracted by spontaneous and stimulated emission. We find the energy and entropy balance for such systems and apply our results to the theory of black hole radiation. We also comment on how this relates to classical self-oscillations, including shear flow instabilities in hydrodynamics. *

Quantum Features of Macroscopic Fields: Entropy and Dynamics

“…The quantum phenomenon of stimulated emission becomes particularly interesting for moving heat baths interacting with the macroscopic field. The case of rotating heat baths has been discussed in details in [ 15 ] where quantum master equations of the type in Equation ( 32 ) (with diagonal matrices and absent coherent sources and random scattering) were used. The only consequence of bath rotation is the modification of the relation in Equation ( 39 ) into where is a magnetic quantum number of the mode and is the angular frequency of rotation.…”

“…Moreover, if the negative damping of the averaged mode amplitude dominates over the decoherence rate , those amplitudes are amplified. This phenomenon is called superradiance and can be studied for various physical implementations: from Hawking radiation of rotating black holes to ocean wave generation by wind [ 15 , 16 , 17 ].…”

“…The quantum phenomenon of stimulated emission becomes particularly interesting for moving heat baths interacting with the macroscopic field. The case of rotating heat baths has been discussed in details in [14] where quantum master equations of the type (33) (with diagonal matrices [Γ ↑(↓)…”

From the GKLS Equation to the Theory of Solar and Fuel Cells

“…Fermi distributions corresponding to (32) at ξ = 0.. The condition for positive output power can be written as…”

On the Floquet analysis of commutative periodic Lindbladians in finite dimension

“…The MME was obtained with application of celebrated Floquet theory in the usual regime of weak coupling limit. This approach proved itself to be of particular importance for laser spectroscopy and quantum thermodynamics [3,4,5], ultimately leading to major advancements in description of quantum heat engines, solar cells and related ideas [6,7,8,9,10].…”