2004/05/11 by R. Roknizadeh, R Roknizadeh, M. K. Tavassoly +1
Computer Science · Mathematics · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Random Matrices and Applications #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1088/0305-4470/37/21/010
published as J. Phys. A: Math. Gen 37 (2004) 5640-5660 · 13 pages, 4 Figures
openalex publication_date 2004/05/11 · arxiv created 2004/05/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We establish some of the properties of the states interpolating between number and coherent states denoted by | n ⟩ λ ; among them are the reproduction of these states by the action of an operator-valued function on | n ⟩ (the standard Fock space) and the fact that they can be regarded as f -deformed coherent bound states. In this paper we use them as the basis of our new Fock space which in this case is not orthogonal but normalized. Then by some special superposition of them we obtain new representations for coherent and squeezed states in the new basis. Finally the statistical properties of these states are studied in detail.