Symmetries of the squeeze-driven Kerr oscillator

DOI10.1088/1751-8121/ad09ebarXiv2310.09245MaRDI QIDQ6148245

Francesco Iachello, Francisco Pérez-Bernal, Lea F. Santos, Unnamed Author

Publication date: 11 January 2024

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2310.09245

zbMATH Keywords

local symmetryexcited-state quantum phase transitionKerr parametric oscillatorquasi-spin symmetrysqueeze-driven Kerr oscillator

Mathematics Subject Classification ID

Hamilton's equations (70H05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Applications of Lie groups to the sciences; explicit representations (22E70) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Phase transitions (general) in equilibrium statistical mechanics (82B26) Spinor and twistor methods applied to problems in quantum theory (81R25) Coherent states (81R30) Perturbations in context of PDEs (35B20) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Quantum algorithms and complexity in the theory of computing (68Q12)

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