Production of entanglement entropy by decoherence. (English) Zbl 1391.81035
Summary: We examine the dynamics of entanglement entropy of all parts in an open system consisting of a two-level dimer interacting with an environment of oscillators. The dimer-environment interaction is almost energy conserving. We find the precise link between decoherence and production of entanglement entropy. We show that not all environment oscillators carry significant entanglement entropy and we identify the oscillator frequency regions which contribute to the production of entanglement entropy. For energy conserving dimer-environment interactions the models are explicitly solvable and our results hold for all dimer-environment coupling strengths. We carry out a mathematically rigorous perturbation theory around the energy conserving situation in the presence of small non-energy conserving interactions.
MSC:
81P40 | Quantum coherence, entanglement, quantum correlations |
81S22 | Open systems, reduced dynamics, master equations, decoherence |
82C20 | Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics |
81Q15 | Perturbation theories for operators and differential equations in quantum theory |
81R30 | Coherent states |
81T27 | Continuum limits in quantum field theory |
81T28 | Thermal quantum field theory |
Keywords:
entanglement entropy; decoherence; thermalization; pure reservoir state; coherent states; continuous mode limitReferences:
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