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Frontiers in Optics

Antibunching Properties of Superposed Coherent Squeezed States

Eric Seglem, Reeta Vyas

Published Jan 1, 2025• 0 citations
Publisher

Abstract

Antibunching properties of states formed from superpositions of squeezed coherent states are studied. The even squeezed coherent cat states mostly show bunching, while the odd cat states show antibunching in a large parameter range.
DOI
10.1364/fio.2025.jw4a.11

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In contrast to coherent states \ensuremath{\Vert}\ensuremath{\alpha}〉 which have zero Hanbury Brown and Twiss Effect [i.e., g(2){g}^{(2)}g(2)(0)=1], it is shown that generalized coherent states \ensuremath{\Vert}n,\ensuremath{\alpha}〉 are antibunched for \ensuremath{\Vert}\ensuremath{\alpha}${\ensuremath{\Vert}}^{2}$(1/2). The range of values for \ensuremath{\alpha} (real) in terms of the squeezing parameter r (real) for the squeezed coherent state \ensuremath{\Vert}\ensuremath{\alpha},r〉 in order to exhibit bunching and antibunching are obtained. The conditions and the exact range of values for r and \ensuremath{\alpha} for a given n for generalized squeezed coherent states \ensuremath{\Vert}n,\ensuremath{\alpha},r〉 to exhibit bunching and antibunching are also obtained.