Unitary Representations of Quantum Superpositions of two Coherent States and beyond

2013/06/11 by A. Messina, Antonino Messina, Messina, Antonino +3
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Laser-Matter Interactions and Applications #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #quant-ph

paper · pdf · doi:10.48550/arxiv.1306.2524

openalex publication_date 2013/06/11 · arxiv created 2013/06/12 · arxiv updated 2013/06/13 · openalex created_date 2025/10/27 · openalex updated_date 2026/07/28

Abstract

The construction of a class of unitary operators generating linear superpositions of generalized coherent states from the ground state of a quantum harmonic oscillator is reported. Such a construction, based on the properties of a new ad hoc introduced set of hermitian operators, leads to the definition of new basis in the oscillator Hilbert space, extending in a natural way the displaced Fock states basis. The potential development of our method and our results is briefly outlined.

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