https://doi.org/10.1140/epjb/s10051-025-01111-0
Research - Condensed Matter
Dynamical quantum phase transitions in the Lipkin–Meshkov–Glick model with longitudinal and transverse magnetic fields
1
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, 04510, Mexico-City, Mexico
2
Facultad de Ciencias, Universidad Nacional Autónoma de México, 04510, Mexico-City, Mexico
3
Frankfurt Institute for Advanced Studies, J. W. von Goethe University, Frankfurt am Main, Hessen, Germany
Received:
1
October
2025
Accepted:
12
December
2025
Published online:
24
December
2025
The dynamical properties of the Lipkin–Meshkov–Glick model with longitudinal and transverse fields are studied by considering quantum quenches. The model describes a many-body quantum system with long-range interactions. A semiclassical analysis is performed to obtain the critical points of quantum phase transitions. These critical points consist in the static separatrix, which is found by analyzing the stability structure of the semiclassical potential and is useful in the identification of ground state and excited states quantum phase transitions, and in the dynamical separatrix, which depends on initial conditions and is found by studying the classical equations of motion for the Hamiltonian. The static and dynamical separatrices divide the parameter space in regions of different dynamical behavior, and it is found that both separatrices play an important role in the determination of the occurrences of the dynamical quantum phase transitions.
D. S. Lohr-Robles: Currently unaffiliated.
© The Author(s) 2025
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