Crossover from adiabatic to antiadiabatic quantum pumping with dissipation

Abstract

Quantum pumping, in its different forms, is attracting attention from different fields, from fundamental quantum mechanics, to nanotechnology, to superconductivity. We investigate the crossover of quantum pumping from the adiabatic to the anti-adiabatic regime in the presence of dissipation, and find general and explicit analytical expressions for the pumped current in a minimal model describing a system with the topology of a ring forced by a periodic modulation of frequency omega. The solution allows following in a transparent way the evolution of pumped DC current from much smaller to much larger omega values than the other relevant energy scale, the energy splitting introduced by the modulation. We find and characterize a temperature-dependent optimal value of the frequency for which the pumped current is maximal.

5 pages, 3 figures

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Cited by in corpus (9)

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• Violations of the second law of thermodynamics by a non completely positive dynamics
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• Geometric quantum pumping in the presence of dissipation
• Dissipation assisted Thouless pumping in the Rice-Mele model
• Complete positivity and thermodynamics in a driven open quantum system
• Anti-adiabatic evolution in quantum-classical hybrid system
• Numerical Study of Disordered Noninteracting Chains Coupled to a Local Lindblad Bath