Volume 121, Number 5, March 2018
|Number of page(s)||7|
|Published online||09 May 2018|
Linear response theory for a pseudo-Hermitian system-reservoir interaction
São Carlos Institute of Physics, University of São Paulo - PO Box 369, 13560-970 São Carlos, SP, Brazil
Received: 7 March 2018
Accepted: 9 April 2018
We present here an extension of the Caldeira-Leggett linear response model considering a pseudo-Hermitian -symmetric system-reservoir interaction. Our generalized Feynman-Vernon functional, derived from the -symmetric coupling, accounts for two influence channels: a velocity-dependent one, which can act in reverse, providing energy to the system instead of draining it as usual, and an acceleration-dependent drain, analogue to the radiation-emission process. Therefore, an adequate choice of the Hamiltonian's parameters may allow the system to extract energy from the reservoir even at absolute zero for a period that may be much longer than the characteristic relaxation time. After this energy supply, the system is driven to a steady state whose energy is necessarily higher than the thermodynamic equilibrium energy due to the velocity-dependent pump. This heating mechanism of the system is more pronounced the more distant from the hermiticity is its coupling with the reservoir. An analytical derivation of the high-temperature master equation is provided helping us to better understand the whole scenario and to compute the associated relaxation and decoherence rates.
PACS: 03.65.Ca – Formalism / 03.65.Yz – Decoherence; open systems; quantum statistical methods / 03.65.-w – Quantum mechanics
© EPLA, 2018
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