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Resonance theory of decoherence and thermalization. (English) Zbl 1201.81083

Summary: We present a rigorous analysis of the phenomenon of decoherence for general \(N\)-level systems coupled to reservoirs. The latter are described by free massless bosonic fields. We apply our general results to the specific cases of the qubit and the quantum register. We compare our results with the explicitly solvable case of systems whose interaction with the environment does not allow for energy exchange (non-demolition, or energy conserving interactions). We suggest a new approach which applies to a wide variety of systems which are not explicitly solvable.

MSC:

81S25 Quantum stochastic calculus
81S22 Open systems, reduced dynamics, master equations, decoherence
81P40 Quantum coherence, entanglement, quantum correlations
35B34 Resonance in context of PDEs
82B30 Statistical thermodynamics
81T28 Thermal quantum field theory
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