Quantum Dissipative Systems
@inproceedings{Weiss1993QuantumDS, title={Quantum Dissipative Systems}, author={Ulrich Weiss}, year={1993} }
Fundamentals Survey of the Various Approaches Path Integral Description of Open Quantum Systems Imaginary-Time and Real-Time Approaches Influence Functional Method Phenomenological and Microscopic System-Plus-Reservoir Models Linear and Nonlinear Quantum Environments Ohmic, Super-Ohmic, and Sub-Ohmic Dissipation Quantum Decoherence and Relaxation Correlation Functions, Response Functions, and Fluctuation-Dissipation Theorem Damped Quantum Mechanical Harmonic Oscillator Quantum Brownian Motion…
2,423 Citations
Exactly solvable three-level quantum dissipative systems via bosonization of fermion gas-impurity models
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- 2010
We study the relationship between one-dimensional fermion gas-impurity models and quantum dissipative systems, via the method of constructive bosonization and unitary transformation. Starting from an…
Fundamental aspects of quantum Brownian motion.
- PhysicsChaos
- 2005
The consequences of the time-reversal symmetry for an open dissipative quantum dynamics and a series of subtleties and possible pitfalls are discussed and the path integral methodology is applied to the decay of metastable states assisted by quantum Brownian noise.
ON DISSIPATIVE QUANTUM DYNAMICS IN SMALL NON-EQUILIBRIUM SYSTEMS
- Physics
- 2008
Dissipative quantum dynamics is newly formulated in order to study small systems such as quantum stochastic resonators which show stochastic resonance even in a single spin system coupled with…
Extended two-level quantum dissipative system from bosonization of the elliptic spin- Kondo model
- Physics
- 2011
We study the elliptic spin- Kondo model (spin- fermions in one dimension with fully anisotropic contact interactions with a magnetic impurity) in the light of mappings to bosonic systems using the…
Open system approach to non-equilibrium dynamical theory of quantum dot systems
- Physics
- 2018
We theoretically investigate the non-equilibrium quantum dynamical theory of a quantum dot system coupled to fermionic reservoirs using the recently developed stochastic fermionic quantum state…
Dissipative Quantum Phase Transition in Cold Atomic Gases
- Physics
- 2011
We study the influence of a dissipative environment on a quantum mechanical system. The considered system is a particle in a periodic potential at zero temperature, which tunnels between neighboring…
Dynamics of quantum dissipation systems interacting with fermion and boson grand canonical bath ensembles: hierarchical equations of motion approach.
- PhysicsThe Journal of chemical physics
- 2007
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,…
Path-integral methodology and simulations of quantum thermal transport: Full counting statistics approach.
- PhysicsThe Journal of chemical physics
- 2019
The iterative full counting statistics path integral (iFCSPI) approach extends a previously well-established influence functional path integral method, by going beyond reduced system dynamics to provide the cumulant generating function of heat exchange.
Quantum-classical approximation beyond Redfield theory
- Physics
- 2003
A quantum-classical approximation, capable of describing the evolution of open quantum systems well beyond the applicability limits of Redfield theory is suggested. The theory is based on the short…