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Poincaré disk as a model of squeezed states of a harmonic oscillator
Published 11 Apr 2024 in math-ph, math.MP, and quant-ph | (2404.07905v1)
Abstract: Single-mode squeezed states exhibit a direct correspondence with points on the Poincar\'e disk. In this study, we delve into this correspondence and describe the motions of the disk generated by a quadratic Hamiltonian. This provides a geometric representation of squeezed states and their evolution. We discuss applications in bang-bang and adiabatic control problems involving squeezed states.
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