Abstract – Publication

Linear response theory for a pseudo-Hermitian system-reservoir interaction.
DUARTE, O. S.; LUIZ, F. S.; MOUSSA, Miled Hassan Youssef.
Abstract: We present here an extension of the Caldeira-Leggett linear response model considering a pseudo-Hermitian PT -symmetric system-reservoir interaction. Our generalized Feynman- Vernon functional, derived from the PT -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.
Europhysics Letters - EPL
v. 121, n. 5, p. 50006-p1-50006-p7 - Ano: 2018
Fator de Impacto: 1,957
http://dx.doi.org/10.1209/0295-5075/121/50006
    @article={002886990,author = {DUARTE, O. S.; LUIZ, F. S.; MOUSSA, Miled Hassan Youssef.},title={Linear response theory for a pseudo-Hermitian system-reservoir interaction},journal={Europhysics Letters - EPL},note={v. 121, n. 5, p. 50006-p1-50006-p7},year={2018}}

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