https://doi.org/10.1140/epjd/s10053-025-01001-1
Regular Article - Nonlinear Dynamics
Ground-state phase transitions of a model SU(1,1) Hamiltonian driven by a time-dependent mass oscillator
Department of Physics, Faculty of Art and Science, Hitit University, 19030, Çorum, Turkey
Received:
2
January
2025
Accepted:
9
April
2025
Published online:
9
May
2025
This study investigates the dynamic effects of a Lipkin–Meshkov–Glick-type perturbation, inspired by the SU(2) spin algebra, on an oscillator system with a time-dependent mass. While the case of a constant mass has been previously examined by Gerry and Kiefer, this work considers scenarios where the mass asymptotically either increases or decreases over time. Based on the classical equations of motion derived, equilibrium points and ground-state phase transitions are analyzed. A critical value for the parameter β, which characterizes the strength of the perturbation, is identified, and the system’s behavior at this critical point is examined. The findings indicate that the system undergoes a first-order phase transition. Interestingly, it is observed that as the mass decreases, the critical value of β asymptotically increases, whereas it decreases when the mass increases. This result highlights the sensitivity of the phase transition point to variations in the mass. Additionally, it is found that as the parameter β increases, the momenta of particles at the equilibrium points decrease.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
