# 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…

## 2,421 Citations

### Exactly solvable three-level quantum dissipative systems via bosonization of fermion gas-impurity models

- Physics
- 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…

### 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…

### Correlation Functions in Open Quantum-Classical Systems

- PhysicsEntropy
- 2014

This work presents a general scheme for the computation of correlation functions, which preserves the full quantum equilibrium structure of the system and approximates the time evolution with quantum-classical Liouville dynamics.