Wigner functions for two-variable Hermite polynomial states and their time-evolutions under thermal environment

DOI10.1007/S10773-013-1598-ZzbMath1276.81086OpenAlexW2023461082MaRDI QIDQ382812

Xiang-Guo Meng, Ye-jun Xu

Publication date: 22 November 2013

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-013-1598-z

zbMATH Keywords

decoherenceWigner functionthermal environmenttwo-variable Hermite polynomial state

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Coherent states (81R30) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (1)

Quantum-mechanical Hankel transformation and ascending-lowering operators for the induced entangled state representation

Cites Work

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• Wigner function of the two-mode squeezing-enhanced vacuum state
• New representation of thermal states in thermal field dynamics
• On the Quantum Correction For Thermodynamic Equilibrium
• Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.

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