Non-adiabatic effect in quantum pumping for a spin-boson system
arXiv:1408.5182 · doi:10.1093/ptep/ptu149
Abstract
We clarify the role of non-adiabatic effects in a quantum pumping for a spin-boson system. When we sinusoidally control the temperatures of two reservoirs with π/2 phase difference, we find that the pumping current strongly depends on the initial condition, and thus, the current deviates from that predicted by the adiabatic treatment. We also analytically obtain the contribution of non-adiabatic effects in the pumping current proportional to Ω^3 where Ωis the angular frequency of the temperature control. The validity of the analytic expression is verified by our numerical calculation. Moreover, we extend the steady heat fluctuation theorem to the case for slowly modulated temperatures and large transferred energies.
26 pages, 8 figures
References in corpus (12)
- Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
- A time-dependent approach to electron pumping in open quantum systems
- Directed flow in non-adiabatic stochastic pumps
- The unified geometric theory of mesoscopic stochastic pumps and reversible ratchets
- Robust single-parameter quantized charge pumping
- Nonadiabatic Electron Pumping: Maximal Current with Minimal Noise
- Charge pumping in carbon nanotube quantum dots
- Adiabatic charge and spin pumping through quantum dots with ferromagnetic leads
- Fluctuation Relation for Heat
- Non adiabatic features of electron pumping through a quantum dot in the Kondo regime
- Charge and spin pumping through a double quantum dot
- Quantized Charge Pumping through a Carbon Nanotube Double Quantum Dot