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
        }
}
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… 

Figures from this paper

Entropy exchange and thermal fluctuations in the Jaynes–Cummings model
The time-dependence of the quantum entropy for a two-level atom interacting with a single-cavity mode is computed using the Jaynes-Cummings model, when the initial state of the radiation field is
Monte Carlo investigation of phase changes and the order of transition of Ising modeled single-walled nanotube
The Monte Carlo analysis for the magnetic response of a single-walled nanotube using the Metropolis and Wang Landau algorithms is reported in the present paper. The nanotube architecture used in the

References

SHOWING 1-10 OF 31 REFERENCES
Quantum entanglement and temperature fluctuations.
TLDR
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
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
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.
TLDR
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.
TLDR
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
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
...
1
2
3
4
...