We study the dissipative dynamics of Nquantum spins with Lindblad generator consisting of operators scaling as fluctuations, namely with the inverse square-root of N. In the large Nlimit, the microscopic dissipative time-evolution converges to a non-Markovian unitary dynamics on strictly local operators, while at the mesoscopic level of fluctuations it gives rise to a dissipative non-Markovian dynamics. The mesoscopic time-evolution is Gaussian and exhibits either a stable or an unstable asymptotic character; furthermore, the mesoscopic dynamics builds correlations among fluctuations that survive in time even when the original microscopic dynamics is unable to correlate local observables.

Non-markovian mesoscopic dissipative dynamics of open quantum spin chains

BENATTI, FABIO;CAROLLO, FEDERICO;FLOREANINI, ROBERTO;
2016

Abstract

We study the dissipative dynamics of Nquantum spins with Lindblad generator consisting of operators scaling as fluctuations, namely with the inverse square-root of N. In the large Nlimit, the microscopic dissipative time-evolution converges to a non-Markovian unitary dynamics on strictly local operators, while at the mesoscopic level of fluctuations it gives rise to a dissipative non-Markovian dynamics. The mesoscopic time-evolution is Gaussian and exhibits either a stable or an unstable asymptotic character; furthermore, the mesoscopic dynamics builds correlations among fluctuations that survive in time even when the original microscopic dynamics is unable to correlate local observables.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11368/2895716
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