On the Assumption of Initial Factorization in the Master Equation for Weakly Coupled Systems I: General Framework
arXiv:quant-ph/0602184 · doi:10.1016/j.aop.2006.06.004
Abstract
We analyze the dynamics of a quantum mechanical system in interaction with a reservoir when the initial state is not factorized. In the weak-coupling (van Hove) limit, the dynamics can be properly described in terms of a master equation, but a consistent application of Nakajima-Zwanzig's projection method requires that the reference (not necessarily equilibrium) state of the reservoir be endowed with the mixing property.
33 pages
References in corpus (10)
- Dynamics of initially entangled open quantum systems
- Dynamics of open quantum systems initially entangled with environment: Beyond the Kraus representation
- Exact solution of the Hu-Paz-Zhang master equation
- Quantum measurement and decoherence
- Exact Diagonalization of Two Quantum Models for the Damped Harmonic Oscillator
- Is the dynamics of open quantum systems always linear?
- Kraus representation in the presence of initial correlations
- Operator-sum representation of time-dependent density operators and its applications
- Complete positivity and entangled degrees of freedom
- Limitations on the Utility of Exact Master Equations
Cited by in corpus (9)
- Open quantum system dynamics and the mean force Gibbs state
- The equilibrium states of open quantum systems in the strong coupling regime
- Quantum Markovian master equations: resonance theory shows validity for all time scales
- Dynamics of the Density Matrix in Contact with a Thermal Bath and the Quantum Master Equation
- How to detect a possible correlation from the information of a sub-system in quantum mechanical systems
- Quantum master equation from the eigenstate thermalization hypothesis
- Open quantum systems in thermal non-ergodic environments
- Perturbative Dynamics of Open Quantum Systems by Renormalization Group Method
- Adapted projection operator technique for the treatment of initial correlations