Effective Hamiltonian Approach to the Master Equation
arXiv:quant-ph/0008090 · doi:10.1088/1464-4266/3/6/304
Abstract
A method of exactly solving the master equation is presented in this letter. The explicit form of the solution is determined by the time evolution of a composite system including an auxiliary system and the open system in question. The effective Hamiltonian governing the time evolution of the composed system are derived from the master equation. Two examples, the dissipative two-level system and the damped harmonic oscillator, are presented to illustrate the solving procedure. PACS number(s): 05.30.-d, 05.40.+j, 42.50.Ct
4 pages, no figures
References in corpus (3)
Cited by in corpus (17)
- Effective Hamiltonian approach to adiabatic approximation in open systems
- Embedding dissipation and decoherence in unitary evolution schemes
- Nonequilibrium thermal entanglement in three-qubit model
- Singularity of dynamical maps
- Quantum Rabi Model with Two-Photon Relaxation
- Activating non-Hermitian skin modes by parity-time symmetry breaking
- Point-gap topology with complete bulk-boundary correspondence in dissipative quantum systems
- Effect of quantum jumps on non-Hermitian system
- Non-Markovian Quantum Jump with Generalized Lindblad Master Equation
- Effective Hamiltonian Approach to Open Systems and Its Applications
- Algebraic solution of the Lindblad equation for a collection of multilevel systems coupled to independent environments
- Born-Oppenheimer approximation in open systems
- A comparative study on different non-Hermitian approaches for modeling open quantum systems
- Reconstruction Approach to Quantum Dynamics of Bosonic Systems
- Topological Dynamics and Correspondences in Composite Exceptional Rings
- Path integrals, spontaneous localisation, and the classical limit
- Time-dependent Schrieffer-Wolff-Lindblad Perturbation Theory: measurement-induced dephasing and second-order Stark shift in dispersive readout