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• W4302022982 abstract "Abstract In the context of quantum dynamics there exists a coordinate transformation which maps the free particle to the harmonic oscillator. Here we extend this result by reformulating it as a unitary operation followed by a time coordinate transformation. We demonstrate that an equivalent transformation can be performed for classical systems in the context of Koopman–von Neumann dynamics. We further extend this mapping both to dissipative evolutions as well as for a quantum–classical hybrid, and show that this mapping imparts an identical time-dependent scaling on the dissipation parameters for both types of dynamics. The derived classical procedure presents a number of opportunities to import squeezing dependent quantum procedures (such as Hamiltonian amplification) into the classical regime." @default.
• W4302022982 created "2022-10-06" @default.
• W4302022982 creator A5007680441 @default.
• W4302022982 creator A5076308400 @default.
• W4302022982 date "2022-10-28" @default.
• W4302022982 modified "2023-09-29" @default.
• W4302022982 title "Free to harmonic unitary transformations in quantum and Koopman dynamics*" @default.
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• W4302022982 doi "https://doi.org/10.1088/1751-8121/ac97cf" @default.
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