Towards generic adiabatic elimination for bipartite open quantum systems
arXiv:1704.00785
Abstract
We consider a composite open quantum system consisting of a fast subsystem coupled to a slow one. Using the time-scale separation, we develop an adiabatic elimination technique to derive at any order the reduced model describing the slow subsystem. The method, based on an asymptotic expansion and geometric singular perturbation theory, ensures the physical interpretation of the reduced second-order model by giving the reduced dynamics in a Lindblad form and the state reduction in Kraus map form. We give explicit second-order formulas for Hamiltonian or cascade coupling between the two subsystems. These formulas can be used to engineer, via a careful choice of the fast subsystem, the Hamiltonian and Lindbald operators governing the dissipative dynamics of the slow subsystem.
arXiv commentSubmitted
References in corpus (10)
- Dynamical Decoupling of Open Quantum Systems
- Confining the state of light to a quantum manifold by engineered two-photon loss
- Effective operator formalism for open quantum systems
- Adiabatic Elimination in a Lambda System
- Observation of directly interacting coherent two-level systems in a solid
- Suppression of the radiative decay of atomic coherence in squeezed vacuum
- Commutativity of the adiabatic elimination limit of fast oscillatory components and the instantaneous feedback limit in quantum feedback networks
- Adiabatic Elimination of Gaussian Subsystems from Quantum Dynamics under Continuous Measurement
- Approximate Master Equations for Atom Optics
- On structure-preserving transformations of the Ito generator matrix for model reduction of quantum feedback networks