Journal ArticleDOI
Tsallis entropy in phase-space quantum mechanics
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TLDR
In this paper, the quantum Tsallis entropy is defined in terms of quantum phase space distribution functions and compared with the nonclassicality of Kenfack's non-classical indicator for different systems, such as the Schr\"odinger cat state, the thermal state, a superposition of ground and first excited number states, and the harmonic oscillator state.Abstract:
In this paper we define the quantum version of the Tsallis entropy in terms of quantum phase space distribution functions. The quantum Tsallis entropy is compared with Kenfack's nonclassicality indicator, for different systems, such as the Schr\"odinger cat state, the thermal state, a superposition of the ground and the first excited number states, and the harmonic oscillator state. These comparisons indicate that the Wigner representation gives us complete information about the state with the nonextensivity parameter $q=1$, while the Husimi representation hides some information with the nonextensivity parameter $ql1$.read more
Citations
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Journal ArticleDOI
Quantum dynamics with stochastic gauge simulations
Peter D. Drummond,Piotr Deuar +1 more
TL;DR: In this paper, the general idea of a stochastic gauge representation is introduced and compared with more traditional phase-space expansions, like the Wigner expansion, for many systems including quantum time-evolution.
Journal ArticleDOI
Gaussian fidelity distorted by external fields
TL;DR: In this article, the quantum fidelity and Shannon entropy of Wigner functions describing harmonic oscillator states were quantified for the free particle limit and for the quantum harmonic oscillators, respectively, in the scope of the phase-space representation of elementary quantum systems.
Journal ArticleDOI
Estimating the entropy and quantifying the impurity of a swarm of surface-hopping trajectories: A new perspective on decoherence
Wenjun Ouyang,Joseph E. Subotnik +1 more
TL;DR: This article considers the intrinsic entropy of Tully's fewest switches surface hopping (FSSH) algorithm and shows that introducing "decoherence" events does not change the total FSSH impurity significantly, but does lead to more accurate evaluations of the impurity of the electronic subsystem.
Journal ArticleDOI
The minimal length uncertainty and the nonextensive thermodynamics
Homa Shababi,Pouria Pedram +1 more
TL;DR: In this article, the authors studied the thermodynamics of quantum harmonic oscillator in the Tsallis framework and in the presence of a minimal length uncertainty, motivated by various theories such as string theory, loop quantum gravity, and black-hole physics.
Journal ArticleDOI
The Minimal Length Uncertainty and the Nonextensive Thermodynamics
Homa Shababi,Pouria Pedram +1 more
TL;DR: In this article, the authors studied the thermodynamics of quantum harmonic oscillator in the Tsallis framework and in the presence of a minimal length uncertainty, motivated by various theories such as string theory, loop quantum gravity, and black-hole physics.
References
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On the Quantum Correction For Thermodynamic Equilibrium
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On the quantum correction for thermodynamic equilibrium
TL;DR: In this article, the Boltzmann formula for lower temperatures has been developed for a correction term, which can be developed into a power series of h. The formula is developed for this correction by means of a probability function and the result discussed.
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Coherent and incoherent states of the radiation field
TL;DR: In this article, the photon statistics of arbitrary fields in fully quantum-mechanical terms are discussed, and a general method of representing the density operator for the field is discussed as well as a simple formulation of a superposition law for photon fields.
Journal ArticleDOI
Distribution functions in physics: Fundamentals
Mark Hillery,Mark Hillery,R. F. O'Connell,Marlan O. Scully,Marlan O. Scully,Eugene P. Wigner +5 more
TL;DR: In this article, a two-part review of distribution functions in physics is presented, the first part dealing with fundamentals and the second part with applications, focusing on the so-called P distribution and generalized P distribution.