Multi-Headed Symmetrical Superpositions of Coherent States

Based on N different coherent states with equal weights and phase-space rotation symmetry, we introduce N -headed incoherent superposition states (NHICSSs) and N -headed coherent superposition states (NHCSSs). These N coherent states are associated with N -order roots of the same complex number. We...

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Bibliographic Details
Published inInternational journal of theoretical physics Vol. 61; no. 5
Main Authors Lan, Bo, Xu, Xue-xiang
Format Journal Article
LanguageEnglish
Published New York Springer US 01.05.2022
Subjects
Elementary Particles
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Theoretical
Schrodinger cat state
Wigner function
Superposition
Coherent state
Phase-space rotation symmetry
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Summary:Based on N different coherent states with equal weights and phase-space rotation symmetry, we introduce N -headed incoherent superposition states (NHICSSs) and N -headed coherent superposition states (NHCSSs). These N coherent states are associated with N -order roots of the same complex number. We study and compare properties of NHICSSs and NHCSSs, including average photon number, Mandel Q parameter, quadrature squeezing, Fock matrix elements and Wigner function. The main characteristic of this study is to use the same complex number to express the related states that appear in a large number of literatures.
ISSN:1572-9575
1572-9575
DOI:10.1007/s10773-022-05134-6