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Geometric phase and quantum phase transition in the Lipkin–Meshkov–Glick model

H. T. Cui, Kai Li, X. X. Yi

arXiv:quant-ph/0608203Physics Letters AAug 25, 200627 citations

Observation of a Dynamical Phase Transition in a Quantum Simulator of Lipkin-Meshkov-Glick Model using Bosonic Gases

Anjun Chu, J. Will, J. Arlt +2 more

Bulletin of the American Physical SocietyMar 18, 20210 citations

Quantum critical dynamics of a qubit coupled to an isotropic Lipkin-Meshkov-Glick bath

H. T. Quan, Z. D. Wang, C. P. Sun

We explore a dynamic signature of quantum phase transition (QPT) in an isotropic Lipkin-Meshkov-Glick (LMG) model by studying the time evolution of a central qubit coupled to it. We evaluate exactly the time-dependent purity, which can be used to measure quantum coherence, of the central qubit. It is found that distinctly different behaviors of the purity as a function of the parameter reveal clearly the QPT point in the system. It is also clarified that the present model is equivalent to an anti--Jaynes-Cummings model under certain conditions.We explore a dynamic signature of quantum phase transition (QPT) in an isotropic Lipkin-Meshkov-Glick (LMG) model by studying the time evolution of a central qubit coupled to it. We evaluate exactly the time-dependent purity, which can be used to measure quantum coherence, of the central qubit. It is found that distinctly different behaviors of the purity as a function of the parameter reveal clearly the QPT point in the system. It is also clarified that the present model is equivalent to an anti--Jaynes-Cummings model under certain conditions.

arXiv:quant-ph/0702268Physical Review AJul 9, 200733 citations

Exact solutions and dynamical phase transitions in the Lipkin–Meshkov–Glick model with dual nonlinear interactions

Dongyang Yu

arXiv:2310.14244Annals of PhysicsJan 10, 20261 citation

ac-driven quantum phase transition in the Lipkin-Meshkov-Glick model

Georg Engelhardt, V. M. Bastidas, Clive Emary +1 more

We establish a set of nonequilibrium quantum phase transitions in the Lipkin-Meshkov-Glick model under monochromatic modulation of the interparticle interaction. We show that the external driving induces a rich phase diagram that characterizes the multistability in the system. Interestingly, the number of stable configurations can be tuned by increasing the amplitude of the driving field. Furthermore, by studying the quantum evolution, we demonstrate that the system exhibits a set of quantum phases that correspond to dynamically stabilized states.We establish a set of nonequilibrium quantum phase transitions in the Lipkin-Meshkov-Glick model under monochromatic modulation of the interparticle interaction. We show that the external driving induces a rich phase diagram that characterizes the multistability in the system. Interestingly, the number of stable configurations can be tuned by increasing the amplitude of the driving field. Furthermore, by studying the quantum evolution, we demonstrate that the system exhibits a set of quantum phases that correspond to dynamically stabilized states.

arXiv:1211.2683Physical Review EMay 8, 201335 citations

Studies of the ground-state properties of the Lipkin-Meshkov-Glick model via the atomic coherent states

Robert Gilmore, D.H. Feng

Physics Letters BMay 1, 197880 citations

Coherent qubits stability and quantum phase transitions in the Lipkin–Meshkov–Glick model

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