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Nonadiabatic effect on the quantum heat flux control
1Faculty of Engineering, University of Yamanashi, 4-3-11, Takeda, Kofu, Yamanashi 400-8511, Japan.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 30, 2014
Summary
We developed a general formula for quantum transfer, including nonadiabatic effects from environmental modulation. This allows control over quantum flux by tuning modulation frequency and initial conditions, separating adiabatic and nonadiabatic contributions.
Area of Science:
- Quantum physics
- Condensed matter physics
- Quantum information
Background:
- Quantum transfer is crucial for understanding energy and charge transport.
- Environmental interactions and modulations significantly influence quantum dynamics.
- Previous models often simplified or neglected nonadiabatic effects.
Purpose of the Study:
- To develop a general formula for quantum transfer incorporating nonadiabatic effects.
- To analyze quantum transfer in an anharmonic junction model under periodic modulation.
- To investigate the influence of initial conditions and environmental parameters on quantum transfer.
Main Methods:
- Utilizing full counting statistics in Hilbert-Schmidt space.
- Applying a general formula to an anharmonic junction model.
- Employing the Markovian approximation for two bosonic environments.
Main Results:
- Quantum transfer decomposes into adiabatic (dynamical and geometrical phases) and nonadiabatic contributions.
- Nonadiabatic effects depend on the initial state and environmental parameters (interaction strength, cut-off frequency).
- The nonadiabatic contribution captures memory effects of past modulations.
Conclusions:
- The new formula provides a comprehensive description of quantum transfer under modulation.
- Initial conditions and modulation frequency can be tuned to control quantum flux.
- The study highlights the importance of nonadiabatic effects and initial state preparation in quantum transport.
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