AC-driven Quantum Phase Transition in the Lipkin-Meshkov-Glick Model

Abstract

We establish a set of nonequilibrium quantum phase transitions in the Lipkin-Meshkov-Glick model under monochromatic modulation of the inter-particle 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.

9 pages, 4 figures. This version contains corrected typos, new references, new figures, and a new appendix. Comments are welcome

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Cited by in corpus (32)

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• New dynamical scaling universality for quantum networks across adiabatic quantum phase transitions
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• Simulating complex quantum networks with time crystals
• Thermalization in a periodically driven fully-connected quantum Ising ferromagnet
• Discontinuities in driven spin-boson systems due to coherent destruction of tunneling: breakdown of the Floquet-Gibbs distribution
• Signatures of excited state quantum phase transitions in quantum many body systems: Phase space analysis
• Control of Excitation Energy Transfer in Condensed Phase Molecular Systems by Floquet Engineering
• Time delayed control of excited state quantum phase transitions in the Lipkin-Meshkov-Glick model
• Excited-State Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model I: Static Aspects
• Unified Light-Matter Floquet Theory and its Application to Quantum Communication
• Bridging closed and dissipative discrete time crystals in spin systems with infinite-range interactions
• Coherent Quantum Dynamics: What Fluctuations Can Tell
• A study of excess energy and decoherence factor of a qubit coupled to a one dimensional periodically driven spin chain
• String order via Floquet interactions in atomic systems
• Critical quasienergy states in driven many-body systems
• Synthetic gauge field in two interacting ultracold atomic gases without an optical lattice
• Polaron-transformed dissipative Lipkin-Meshkov-Glick Model
• Theory of parametric resonance for discrete time crystals in fully-connected spin-cavity systems
• Degeneracy in excited-state quantum phase transitions of two-level bosonic models and its influence on system dynamics
• Transport through a quantum critical system: A thermodynamically consistent approach
• Wiseman-Milburn Control for the Lipkin-Meshkov-Glick Model
• A Floquet analysis perspective of driven light-matter interaction models
• Phase Crossover induced by Dynamical Many Body Localization in Periodically Driven Long-Range Spin Systems
• Dynamical freezing and switching in periodically driven bilayer graphene
• The failure of semiclassical approach in the dissipative fully-connected Ising model
• Exact solutions and Dynamical phase transitions in the Lipkin-Meshkov-Glick model with Dual nonlinear interactions