NDLI: Overlapping Resonances in Open Quantum Systems

Content Provider	Springer Nature Link
Author	Merkli, Marco Song, Haifeng
Copyright Year	2014
Abstract	An N-level quantum system is coupled to a bosonic heat reservoir at positive temperature. We analyze the system–reservoir dynamics in the following regime: the strength λ of the system–reservoir coupling is fixed and small, but larger than the spacing σ of system energy levels. For vanishing σ there is a manifold of invariant system–reservoir states and for σ > 0 the only invariant state is the joint equilibrium. The manifold is invariant for σ = 0 but becomes quasi-invariant for σ > 0. Namely, on a first time-scale of the order 1/λ2, initial states approach the manifold. Then, they converge to the joint equilibrium state on a much larger time-scale of the order λ2/σ 2. We give a detailed expansion of the system–reservoir evolution showing the above scenario.
Starting Page	1397
Ending Page	1427
Page Count	31
File Format	PDF
ISSN	14240637
Journal	Annales Henri Poincaré
Volume Number	16
Issue Number	6
e-ISSN	14240661
Language	English
Publisher	Springer Basel
Publisher Date	2014-07-10
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Theoretical, Mathematical and Computational Physics Dynamical Systems and Ergodic Theory Quantum Physics Mathematical Methods in Physics Classical and Quantum Gravitation, Relativity Theory Elementary Particles, Quantum Field Theory
Content Type	Text
Resource Type	Article
Subject	Statistical and Nonlinear Physics Nuclear and High Energy Physics Mathematical Physics

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