Super-statistics and quantum entanglement in the isotropic spin-1/2 XX dimmer from a non-additive thermodynamics perspective

In this paper, the impact of temperature fluctuations in the entanglement of two qubits described by a spin-1/2 XX model is studied. To describe the out-of-equilibrium situation, super-statistics is used with fluctuations given by a \(\chi^2\) distribution function, and its free parameters are chose...

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Bibliographic Details
Published in:arXiv.org 2021-07
Main Authors: Castaño-Yepes, Jorge David, Cristian Felipe Ramirez-Gutierrez
Format: Article
Language:English
Subjects:
Distribution functions
Internal energy
Operators (mathematics)
Parameterization
Quantum entanglement
Quantum mechanics
Qubits (quantum computing)
Thermodynamics
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Summary:In this paper, the impact of temperature fluctuations in the entanglement of two qubits described by a spin-1/2 XX model is studied. To describe the out-of-equilibrium situation, super-statistics is used with fluctuations given by a \(\chi^2\) distribution function, and its free parameters are chosen in such a way that resembles the non-additive Tsallis thermodynamics. In order to preserve the Legendre structure of the thermal functions, particular energy constraints are imposed on the density operator and the internal energy. Analytical results are obtained using an additional set of constraints after a parametrization of the physical temperature. We show that the well-known parametrization may lead to undesirable values of the physical temperature so that by analyzing the entropy as a function of energy, the correct values are found. The quantum entanglement is obtained from the Concurrence and is compared with the case when the Tsallis restrictions are not imposed on the density operator.
ISSN:2331-8422
DOI:10.48550/arxiv.2105.05376