Tsallis entropy in phase-space quantum mechanics

Parvin Sadeghi, Siamak Khademi, and Amir H. Darooneh
Phys. Rev. A 86, 012119 – Published 26 July 2012

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 Schrödinger 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 q<1.

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  • Received 28 November 2011

DOI:https://doi.org/10.1103/PhysRevA.86.012119

©2012 American Physical Society

Authors & Affiliations

Parvin Sadeghi, Siamak Khademi*, and Amir H. Darooneh

  • Department of Physics, University of Zanjan, ZNU, 45371-38791, Zanjan, Iran

  • *siamakkhademi@yahoo.com; skhademi@znu.ac.ir

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Vol. 86, Iss. 1 — July 2012

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