Dynamics of quantum dissipation systems interacting with Fermion and Boson grand canonical bath ensembles: Hierarchical equations of motion approach
arXiv:cond-mat/0612137 · doi:10.1063/1.2713104
Abstract
A hierarchical equations of motion formalism for a quantum dissipation system in a grand canonical bath ensemble surrounding is constructed, on the basis of the calculus-on-path-integral algorithm, together with the parametrization of arbitrary non-Markovin bath that satisfies fluctuation-dissipation theorem. The influence functionals for both the Fermion or Boson bath interaction are found to be of the same path-integral expression as the canonical bath, assuming they all satisfy the Gaussian statistics. However, the equation of motion formalism are different, due to the fluctuation-dissipation theories that are distinct and used explicitly. The implications of the present work to quantum transport through molecular wires and electron transfer in complex molecular systems are discussed.
12pages
References in corpus (6)
- Fundamental Aspects of Quantum Brownian Motion
- Dynamics of quantum dissipation systems interacting with bosonic canonical bath: Hierarchical equations of motion approach
- The influence of ultra-fast laser pulses on electron transfer in molecular wires studied by a non-Markovian density matrix approach
- Spontaneous Relaxation of a Charge Qubit under Electrical Measurement
- Exact quantum jump approach to open systems in Bosonic and spin baths
- Quantum measurement of a solid-state qubit: A unified quantum master equation approach revisited
Cited by in corpus (6)
- Theoretical investigation of the dynamic electronic response of a quantum dot driven by time-dependent voltage
- Dynamic Coulomb blockade in single-lead quantum dots
- Calculation of the current noise spectrum in mesoscopic transport: an efficient quantum master equation approach
- Interference effects in the counting statistics of electron transfers through a double quantum dot
- Full counting statistics of transport through two-channel Coulomb blockade systems
- Spin-dependent current noises in transport through coupled quantum dots