Non-adiabatic effect on the quantum heat flux control
arXiv:1312.4319 · doi:10.1103/PhysRevE.89.052108
Abstract
We provide a general formula of quantum transfer that includes the non-adiabatic effect under periodic environmental modulation by using full counting statistics in Hilbert-Schmidt space. Applying the formula to an anharmonic junction model that interacts with two bosonic environments within the Markovian approximation, we find that the quantum transfer is divided into the adiabatic (dynamical and geometrical phases) and non-adiabatic contributions. This extension shows the dependence of quantum transfer on the initial condition of the anharmonic junction just before the modulation, as well as the characteristic environmental parameters such as interaction strength and cut-off frequency of spectral density. We show that the non-adiabatic contribution represents the reminiscent effect of past modulation including the transition from the initial condition of the anharmonic junction to a steady state determined by the very beginning of the modulation. This enables us to tune the frequency range of modulation, whereby we can obtain the quantum flux corresponding to the geometrical phase by setting the initial condition of the anharmonic junction.
11 pages, 4 figures; mistypes are corrected
References in corpus (7)
- Artificial Brownian motors: Controlling transport on the nanoscale
- Single ion heat engine with maximum efficiency at maximum power
- Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
- Nonadiabatic Electron Pumping: Maximal Current with Minimal Noise
- Nonadiabatic electron heat pump
- Geometrical Pumping in Quantum Transport: Quantum Master Equation Approach
- Dynamic control of quantum geometric heat flux in a nonequilibrium spin-boson model
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