Squeezed states for Frenkel-like two-fermion composite bosons

• URL: http://arxiv.org/abs/2512.23867v1
• Date: Mon, 29 Dec 2025 21:11:02 GMT
• Title: Squeezed states for Frenkel-like two-fermion composite bosons
• Authors: Francisco Figueiredo, Itzhak Roditi,
• Abstract summary: squeezed states of composite bosons (cobosons) formed by pairs of spin-$1/2$ fermions are investigated.<n>We show that the underlying fermionic structure leads to state-dependent modifications of the Heisenberg--Robertson uncertainty bound.<n>Our framework is relevant to composite boson systems such as tightly bound electron-hole pairs and provides a physically transparent setting to probe compositeness through observable quadrature fluctuations.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate squeezed states of composite bosons (cobosons) formed by pairs of spin-$1/2$ fermions, with emphasis on Frenkel-like cobosons. While squeezing for standard bosonic modes is well established, its extension to cobosons requires accounting for Pauli blocking and the resulting non-canonical commutation algebra. Building on earlier constructions of coboson coherent states, we define squeezed cobosons as eigenstates of a Bogoliubov transformed coboson operator and derive explicit expressions for the associated quadrature variances. We show that the underlying fermionic structure leads to state-dependent modifications of the Heisenberg--Robertson uncertainty bound, which may fall below the canonical bosonic limit without implying any violation of uncertainty principles. Numerical results based on finite-dimensional matrix representations illustrate how these effects constrain the attainable squeezing. Our framework is relevant to composite boson systems such as tightly bound electron-hole pairs and provides a physically transparent setting to probe compositeness through observable quadrature fluctuations.

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