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.



Titolo: Non-markovian mesoscopic dissipative dynamics of open quantum spin chains
Autori: 
BENATTI, FABIO
CAROLLO, FEDERICO
FLOREANINI, ROBERTO
mostra contributor esterni 
Data di pubblicazione: 2016
Rivista: 
PHYSICS LETTERS A  
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.
Handle: http://hdl.handle.net/11368/2895716
Digital Object Identifier (DOI): http://dx.doi.org/10.1016/j.physleta.2015.10.062
URL: http://www.sciencedirect.com/science/article/pii/S0375960115009536
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