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Residual Entropy and Critical Behavior of Two Interacting Boson Species in a Double Well
Version 1
: Received: 21 December 2017 / Approved: 22 December 2017 / Online: 22 December 2017 (01:53:26 CET)
A peer-reviewed article of this Preprint also exists.
Lingua, F.; Richaud, A.; Penna, V. Residual Entropy and Critical Behavior of Two Interacting Boson Species in a Double Well. Entropy 2018, 20, 84, doi:10.3390/e20020084. Lingua, F.; Richaud, A.; Penna, V. Residual Entropy and Critical Behavior of Two Interacting Boson Species in a Double Well. Entropy 2018, 20, 84, doi:10.3390/e20020084.
Abstract
Motivated by the importance of entanglement and correlation indicators in the analysis of quantum systems, we study the equilibrium and the residual entropy in a two-species Bose Hubbard dimer when the spatial phase separation of the two species takes place. We consider both the zero and non-zero-temperature regime. We present different kinds of residual entropies (each one associated to a different way of partitioning the system), and we show that they strictly depend on the specific quantum phase characterizing the two species (supermixed, mixed or demixed) even at finite temperature. To provide a deeper physical insight into the zero-temperature scenario, we apply the fully-analytical variational approach based on su(2) coherent states and provide a considerbly good approximation of the entanglement entropy. Finally, we show that the effectiveness of residual entropy as a critical indicator at non-zero temperature is unchanged when considering a restricted combination of energy eigenstates.
Keywords
Entropy; Entanglement; Bose-Hubbard; Dimer; Bosonic mixtures
Subject
Physical Sciences, Condensed Matter Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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