2002/07/31 by S. S. Mizrahi, V. V. Dodonov
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph
paper · pdf · doi:10.1088/0305-4470/35/41/315
published as J. Phys. A, v.35, no.41, p.8847-8857 (2002) · 10 pages, LaTex, an extended version with several references added and the text divided into sections; to appear in J. Phys. A
arxiv created 2002/09/25 · openalex publication_date 2002/10/02 · arxiv updated 2010/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
The asymmetric nature of the boson 'destruction' operator â and its 'creation' partner ↠is made apparent by applying them to a quantum state |ψ⟩ different from the Fock state | n ⟩. We show that it is possible to increase (by many times or by any quantity) the mean number of quanta in the new 'photon-subtracted' state â|ψ⟩. Moreover, for certain 'hyper-Poissonian' states |ψ⟩ the mean number of quanta in the (normalized) state â|ψ⟩ can be much greater than in the 'photon-added' state â†|ψ⟩. The explanation of this 'paradox' is given and some examples elucidating the meaning of Mandel's q -parameter and the exponential phase operators are considered.