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arXiv · 2512.21229

Squeezed quantum multiplets: properties and phase space representation

Juan Pablo Paz·Corina Révora·Christian Tomás Schmiegelow
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Abstract

We define and study the properties of ``squeezed quantum multiplets''. Ordinary multiplets are sets of $D$-orthonormal quantum states formed by superpositions of states squeezed along $D$ equally spaced directions in quadrature space. More generally, we also discuss superpositions of ``higher-order squeezed states'', including tri-squeezed and quad-squeezed states. All these states involve superpositions of multiples of $p$ photons. We compare states in ordinary ($p=2$) multiplets and higher-order ones ($p>2$) in the most relevant cases, showing that ordinary squeezed multiplets and higher-order ones share some important similarities, as well as some differences. Finally, we present analytical expressions for phase-space distributions (Wigner and characteristic functions) representing ordinary squeezed multiplets. We use this to show that some squeezed multiplets are highly sensitive to perturbations in all phase-space directions, making them interesting for metrological applications.

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Juan Pablo Paz, Corina Révora, Christian Tomás Schmiegelow. 2025-12-24. Squeezed quantum multiplets: properties and phase space representation. https://arxiv.org/abs/2512.21229

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