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 (25)
- The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
- Microscopic derivation of rate equations for quantum transport
- Open system dynamics with non-Markovian quantum trajectories
- Measurements with a noninvasive detector and dephasing mechanism
- Stochastic wave function method for non-Markovian quantum master equations
- Fundamental Aspects of Quantum Brownian Motion
- The non-Markovian stochastic Schrodinger equation for open systems
- Exact quantum master equation via the calculus on path integrals
- Exact c-number Representation of Non-Markovian Quantum Dissipation
- Dynamics of quantum dissipation systems interacting with bosonic canonical bath: Hierarchical equations of motion approach
- Continuous quantum measurement of two coupled quantum dots using a point contact: A quantum trajectory approach
- Rate equations for quantum transport in multi-dot systems
- Quantum master equation approach to quantum transport through mesoscopic systems
- Quantum Measurements Performed with a Single-Electron Transistor
- Quantum Shuttle in Phase Space
- 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
- A Stochastic Liouvillian Algorithm to Simulate Dissipative Quantum Dynamics With Arbitrary Precision
- Quantum dynamics in strong fluctuating fields
- Exact quantum jump approach to open systems in Bosonic and spin baths
- Interference effects in resonant magneto-transport
- Continuous quantum measurement: inelastic tunnelling suppresses current oscillations
- Quantum Langevin equation from forward--backward path integral
- Quantum measurement of a solid-state qubit: A unified quantum master equation approach revisited
- Measurement of single electron spin with sub-micron Hall magnetometer
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- Theoretical investigation of the dynamic electronic response of a quantum dot driven by time-dependent voltage
- Hierarchical quantum master equation approach to electronic-vibrational coupling in nonequilibrium transport through nanosystems: Reservoir formulation and application to vibrational instabilities
- Dynamic Coulomb blockade in single-lead quantum dots
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- Full counting statistics of transport through two-channel Coulomb blockade systems
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- Dynamics of photosynthetic light harvesting systems interacting with N-photon Fock states
- Effects of counter-rotating-wave terms on the non-Markovianity in quantum open systems
- Realization of hierarchical equations of motion from stochastic perspectives
- Effect of bath temperature on the decoherence of quantum dissipative systems
- Current-induced forces in nanosystems: A hierarchical equations of motion approach
- Solving quantum impurity problems on the L-shaped Kadanoff-Baym contour
- Stochastic decoupling approach to the quantum dissipative dynamics: Perturbative and non-perturbative treatments
- Efficient construction of the Feynman-Vernon influence functional as matrix product states
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- Infinite Grassmann time-evolving matrix product operators for quantum impurity problems after a quench
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- Scalable tensor network algorithm for quantum impurity problems
- Motion-driven quantum dissipation in an open electronic system with nonlocal interaction
- Exact description of fermionic reservoirs via purified damped ancillary fermions