Path Integral Formalism for Quantum Open Systems
arXiv:2506.08802 · doi:10.1016/j.aop.2025.170083
Abstract
This article provides a detailed derivation of the path integral formalism for both boson and fermion quantum open systems using coherent states. The formalism on the imaginary-time axis, Keldysh contour, and Kadanoff contour are given. The corresponding generating functional technique, which can be used to retrieve the environment information from the system correlation function, is also discussed.
References in corpus (25)
- Continuous-time Monte Carlo methods for quantum impurity models
- Strong electronic correlations from Hund's coupling
- Nonequilibrium dynamical mean-field theory and its applications
- Efficient non-Markovian quantum dynamics using time-evolving matrix product operators
- Keldysh technique and non-linear sigma-model: basic principles and applications
- Nonequilibrium Green's function method for quantum thermal transport
- Exploiting the causal tensor network structure of quantum processes to efficiently simulate non-Markovian path integrals
- Landau Zener transitions in a dissipative environment: Numerically exact results
- Efficient exploration of Hamiltonian parameter space for optimal control of non-Markovian open quantum systems
- Exact dynamics of non-additive environments in non-Markovian open quantum systems
- Reconstructing non-equilibrium regimes of quantum many-body systems from the analytical structure of perturbative expansions
- An efficient method for quantum impurity problems out of equilibrium
- Quantum heat statistics with time-evolving matrix product operators
- Real time evolution of Anderson impurity models via tensor network influence functionals
- Using the Environment to Understand non-Markovian Open Quantum Systems
- Open Quantum System Dynamics from Infinite Tensor Network Contraction
- The Hidden Phase of the Spin-Boson Model
- Sublinear scaling in non-Markovian open quantum systems simulations
- Grassmann Time-Evolving Matrix Product Operators for Quantum Impurity Models
- Numerical evaluation and robustness of the quantum mean force Gibbs state
- Out-of-time-ordered correlation functions in open systems: A Feynman-Vernon influence functional approach
- Heat Current in Non-Markovian Open Systems
- Solving quantum impurity problems on the L-shaped Kadanoff-Baym contour
- Grassmann time-evolving matrix product operators: An efficient numerical approach for fermionic path integral simulations
- Non-Markovian effects in stochastic resonance in a two level system