Construction of Touchard polynomial's photon added squeezing vacuum state and its nonclassical properties

DOI10.1007/S10773-022-04997-ZzbMath1486.81136OpenAlexW4213430367MaRDI QIDQ2114021

Dao-ming Lu

Publication date: 14 March 2022

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

Full work available at URL: https://doi.org/10.1007/s10773-022-04997-z

zbMATH Keywords

quantum opticsnonclassical propertiessqueezing vacuum stateTouchard polynomial's operator

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Quantum optics (81V80) Coherent states (81R30) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Poisson algebras (17B63)

Cites Work

• Hermite polynomial's photon added coherent state and its non-classical properties
• Statistical properties of photon-added two-mode squeezed coherent states
• Amplitude damping of Hermite-polynomial-field excited coherent state
• Photon-subtracted two-mode squeezed thermal state and its photon-number distribution
• Induced states from coherent state via photon-addition operations
• Nonclassicality generated by applying Hermite-polynomials photon-added operator on the even/odd coherent states
• Non-classical properties of photon-added compass state
• On the Quantum Correction For Thermodynamic Equilibrium
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels

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