Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0208026 · Lecture notes in physics

Path Integrals and Their Application to Dissipative Quantum Systems

Gert‐Ludwig Ingold

Published Jan 1, 2002• 66 citations
arXivHTMLPDF
DOI
10.1007/3-540-45855-7_1

Related papers

Dynamics of Dissipative Quantum Systems: From Path Integrals to Master Equations

Joachim Ankerhold

arXiv:cond-mat/0309284•Lecture notes in physics•Jan 1, 2003•8 citations

Path Integral Simulation of Long-Time Dynamics in Quantum Dissipative Systems

Nancy Makri

NATO ASI series. Series B : Physics•Jan 1, 1997•2 citations

Quantum probabilities in open dissipative systems: a path integral derivation

T. Sami, J. Richert

Nuovo cimento della Società italiana di fisica. A, Nuclei, particles and fields•May 1, 1986•3 citations

Path-integral approach to a semiclassical stochastic description of quantum dissipative systems

Jesús Casado‐Pascual, Claus Denk, Manuel Morillo +1 more

Chemical Physics•Jun 1, 2001•5 citations

1 Path Integrals and Their Application to Dissipative Quantum Systems

Gert‐Ludwig Ingold

Introduction Path Integrals - Introduction - Propagator - Free Particle - Path Integral Representation of Quantum Mechanics - Particle on a Ring - Particle in a Box - Driven Harmonic Oscillator - Semiclassical Approximation - Imaginary Time Path Integral Dissipative Systems - Introduction - Environment as Collection of Harmonic Oscillators - Effective Action Damped Harmonic Oscillator - Partition Function - Ground State Energy and Density of States - Position Autocorrelation Function

•Aug 5, 2002•71 citations

Nonperturbative time-convolutionless quantum master equation from the path integral approach

Guangjun Nan, Qiang Shi, Zhigang Shuai

The time-convolutionless quantum master equation is widely used to simulate reduced dynamics of a quantum system coupled to a bath. However, except for several special cases, applications of this equation are based on perturbative calculation of the dissipative tensor, and are limited to the weak system-bath coupling regime. In this paper, we derive an exact time-convolutionless quantum master equation from the path integral approach, which provides a new way to calculate the dissipative tensor nonperturbatively. Application of the new method is demonstrated in the case of an asymmetrical two-level system linearly coupled to a harmonic bath.

The Journal of Chemical Physics•Apr 6, 2009•18 citations
The time-convolutionless quantum master equation is widely used to simulate reduced dynamics of a quantum system coupled to a bath. However, except for several special cases, applications of this equation are based on perturbative calculation of the dissipative tensor, and are limited to the weak system-bath coupling regime. In this paper, we derive an exact time-convolutionless quantum master equation from the path integral approach, which provides a new way to calculate the dissipative tensor nonperturbatively. Application of the new method is demonstrated in the case of an asymmetrical two-level system linearly coupled to a harmonic bath.