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Long-lived mesoscopic entanglement between two damped infinite harmonic chains

Jacopo Surace, Fabio Benatti, Federico Carollo, Roberto Floreanini B

Published Jun 9, 2017• 1 citation
OpenAlex

Abstract

Abstract We consider two chains, each made of N independent oscillators, immersed in a common thermal bath and study the dynamics of their mutual quantum correlations in the thermodynamic, large-N limit. We show that dissipation and noise due to the presence of the external environment are able to generate collective quantum correlations between the two chains at the mesoscopic level. The created collective quantum entanglement between the two many-body systems turns out to be rather robust, surviving for asymptotically long times even for non vanishing bath temperatures.

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Abstract We consider two chains, each made of N independent oscillators, immersed in a common thermal bath and study the dynamics of their mutual quantum correlations in the thermodynamic, large-N limit. We show that dissipation and noise due to the presence of the external environment are able to generate collective quantum correlations between the two chains at the mesoscopic level. The created collective quantum entanglement between the two many-body systems turns out to be rather robust, surviving for asymptotically long times even for non vanishing bath temperatures.
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This article surveys quantum correlations dynamics, in the Markovian and non-Markovian regimes, in a system of two harmonic oscillators connected by a time-dependent coupling and in contact with a common heat bath. The results show the survival of the quantum correlations, including entanglement, even at very high temperatures, as well as a remarkable relation between entanglement and the instability of the system. The results also show that the indirect interaction of the oscillators via a bath significantly enhances the quantum correlations and that quantum correlations are much more sensitive to the parameters of the oscillators than the temperature of the bath.