Dynamics of Open Quantum Systems I, Oscillation and Decay
نویسندگان
چکیده
We develop a framework to analyze the dynamics of finite-dimensional quantum systemSin contact with reservoirR. The full, interactingSRdynamics is unitary. reservoir has stationary state but otherwise dissipative dynamics. identify main part full dynamics, which approximates it for small values theRcoupling constant, uniformly all timest≥0. consists explicit oscillating and decaying parts. show that reduced system evolution Markovian times. technical novelty detailed analysis link between spectral properties generator mathvariant="normal">Rdynamics, based on Mourre theory. allow forRinteractions little regularity, meaning decay correlation function only needs be polynomial in time, improving previously required exponential decay.In this work we distill structural ingredients causing characteristic features oscillation mathvariant="normal">Rdynamics. In companion paper [27] apply formalism concrete case anN-level linearly coupled spatially infinitely extended thermal bath non-interacting Bosons.
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ژورنال
عنوان ژورنال: Quantum
سال: 2022
ISSN: ['2521-327X']
DOI: https://doi.org/10.22331/q-2022-01-03-615