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Resonance theory of decoherence and thermalization |
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| Authors: | M. Merkli I.M. Sigal G.P. Berman |
| Affiliation: | a Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, Newfoundland, Canada A1C 5S7 b Department of Mathematics, University of Toronto, Toronto, Ont., Canada M5S 2E4 c Theoretical Division, MS B213, Los Alamos National Laboratory, Los Alamos, NM 87545, USA |
| Abstract: | 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. |
| Keywords: | Decoherence Thermalization Open quantum systems Quantum resonances Reduced density matrix Coupling to environment Non-equilibrium quantum statistical mechanics Thermal quantum fields Liouville operator Complex spectral deformation |
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