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arxiv: 1309.4847 · v3 · submitted 2013-09-19 · 🪐 quant-ph

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Coherent states of composite bosons

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classification 🪐 quant-ph
keywords compositecobosoncoherenteigenstateoperatorparticlesstatesannihilation
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We present a systematic analysis on coherent states of composite bosons consisting of two distinguishable particles. By defining an effective composite boson (coboson) annihilation operator, we derive its eigenstate and commutator. Depending on the elementary particles comprising the composite particles, we gauge the resemblance between this eigenstate and traditional coherent states through typical measures of nonclassicality, such as quadrature variances and Mandel's Q parameter. Furthermore, we show that the eigenstate of the coboson annihilation operator is useful in estimating the maximum eigenvalue of the coboson number operator.

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