Work

Dynamical quantum phase transitions in the Lipkin–Meshkov–Glick model with longitudinal and transverse magnetic fields

Year: 2025

Type: article

Abstract: 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. Graphical abstract

Source: The European Physical Journal B

DOI: 10.1140/epjb/s10051-025-01111-0

Authors: D. S. Lohr-Robles, M. Grether, E. López-Moreno, P. O. Hess

Institutions: Universidad Nacional Autónoma de México, Goethe University Frankfurt, Frankfurt Institute for Advanced Studies

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,490

Funder: Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México