Version 1
: Received: 21 December 2017 / Approved: 22 December 2017 / Online: 22 December 2017 (01:53:26 CET)
How to cite:
Lingua, F.; Richaud, A.; Penna, V. Residual Entropy and Critical Behavior of Two Interacting Boson Species in a Double Well. Preprints2017, 2017120160. https://doi.org/10.20944/preprints201712.0160.v1
Lingua, F.; Richaud, A.; Penna, V. Residual Entropy and Critical Behavior of Two Interacting Boson Species in a Double Well. Preprints 2017, 2017120160. https://doi.org/10.20944/preprints201712.0160.v1
Lingua, F.; Richaud, A.; Penna, V. Residual Entropy and Critical Behavior of Two Interacting Boson Species in a Double Well. Preprints2017, 2017120160. https://doi.org/10.20944/preprints201712.0160.v1
APA Style
Lingua, F., Richaud, A., & Penna, V. (2017). Residual Entropy and Critical Behavior of Two Interacting Boson Species in a Double Well. Preprints. https://doi.org/10.20944/preprints201712.0160.v1
Chicago/Turabian Style
Lingua, F., Andrea Richaud and Vittorio Penna. 2017 "Residual Entropy and Critical Behavior of Two Interacting Boson Species in a Double Well" Preprints. https://doi.org/10.20944/preprints201712.0160.v1
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.
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.
