Born-Oppenheimer approximation in open systems
arXiv:0905.2741 · doi:10.1103/PhysRevA.80.032108
Abstract
We generalize the standard Born-Oppenheimer approximation to the case of open quantum systems. We define the zeroth order Born-Oppenheimer approximation of an open quantum system as the regime in which its effective Hamiltonian can be diagonalized with fixed slowly changing variables. We then establish validity and invalidity conditions for this approximation for two kinds of dissipations--the spin relaxation and the dissipation of center-of-mass motion. As an example, the Born-Oppenheimer approximation of a two-level open system is analyzed.
7 pages, 3 figures
References in corpus (15)
- Non-Markovian generalization of the Lindblad theory of open quantum systems
- Adiabatic approximation in open quantum systems
- Completely Positive Post-Markovian Master Equation via a Measurement Approach
- Genuine quantum trajectories for non-Markovian processes
- Quantum Semi-Markov Processes
- Solution of the Lindblad Equation in the Kraus Representation
- Effective Hamiltonian approach to adiabatic approximation in open systems
- Non-Markovian dynamics for bipartite systems
- Geometric phases in open tripod systems
- Validity of the Adiabatic Approximation
- Effective Hamiltonian Approach to Open Systems and Its Applications
- Non-Markovian Effects on the Geometric Phase
- The adiabatic theorem in the presence of noise
- Berry's phase for coherent states of Landau levels
- Adiabatic approximation in the second quantized formulation