# Superstatistics and quantum entanglement in the isotropic spin-1/2 XX dimer from a nonadditive thermodynamics perspective.

@article{CastaoYepes2021SuperstatisticsAQ,
title={Superstatistics and quantum entanglement in the isotropic spin-1/2 XX dimer from a nonadditive thermodynamics perspective.},
author={Jorge David Casta{\~n}o-Yepes and Cristian Felipe Ramirez-Gutierrez},
journal={Physical review. E},
year={2021},
volume={104 2-1},
pages={
024139
}
}
• Published 12 May 2021
• Physics
• Physical review. E
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, superstatistics is used with fluctuations given by a χ^{2}-distribution function, and its free parameters are chosen in such a way that resembles the nonadditive Tsallis thermodynamics. In order to preserve the Legendre structure of the thermal functions, particular energy constraints are imposed on the density…
2 Citations

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## References

SHOWING 1-10 OF 31 REFERENCES
Quantum entanglement and temperature fluctuations.
• Physics
Physical review. E
• 2017
This paper introduces an alternative version of the formalism within a quantum mechanical picture and uses it to study entanglement in the Heisenberg XY model, subject to temperature fluctuations, and suggests that particular fluctuations may enhanceEntanglement and prevent it from vanishing at higher temperatures than those predicted for the same system at thermal equilibrium.
Entanglement in the quantum Heisenberg XY model
We study the entanglement in the quantum Heisenberg $\mathrm{XY}$ model in which the so-called W entangled states can be generated for 3 or 4 qubits. By the concept of concurrence, we study the
Momentum distribution and correlation for a free scalar field in the Tsallis nonextensive statistics based on density operator
Abstract.We derived the expression of the normalized q-expectation value based on the density operator to the order 1 - q with the physical temperature in the Tsallis nonextensive statistics of
Multiplicity fluctuations due to the temperature fluctuations in high-energy nuclear collisions
• Physics
• 2009
We investigate the multiplicity fluctuations observed in high-energy nuclear collisions attributing them to intrinsic fluctuations of temperature of the hadronizing system formed in such processes.
Superstatistics of two electrons quantum dot
• Physics
Modern Physics Letters A
• 2019
In this paper, we discussed the Schrödinger equation in the presence of the harmonic two electrons interaction for the parabolic quantum dot and the energy spectrum by an analytical method is
Tsallis meets Boltzmann: q-index for a finite ideal gas and its thermodynamic limit.
• Physics
Physical review. E
• 2020
The analytical results derived here suggest that Tsallis q-statistics may play a physical role more fundamental than usually discussed in the literature.
Generalized information entropies depending only on the probability distribution.
• Computer Science
Physical review. E, Statistical, nonlinear, and soft matter physics
• 2013
By expanding in series all entropies in this work the authors have as a first term the Shannon entropy, which is based on the Boltzmann factor and can be identified with the probability distribution.
Superstatistics and the effective QCD phase diagram
• Physics
Physical Review D
• 2018
We study the effect of a partially thermalized scenario for chiral symmetry restoration at finite temperature and quark chemical potential, and in particular for the position of the critical end