Criticality revealed through quench dynamics the Lipkin-Meshkov-Glick model

Abstract

We examine the dynamics after a sudden quench in the magnetic field of the Lipkin-Meshkov-Glick model. Starting from the groundstate and by employing the time-dependent fidelity, we see manifestly different dynamics are present if the system is quenched through the critical point. Furthermore, we show that the average work shows no sensitivity to the quantum phase transition, however the free energy and irreversible work show markedly different rates of change in each phase. Finally, we assess the spectral function showing the fundamental excitations that dictate the dynamics of the post-quenched system, further highlighting the qualitative differences between the dynamics in the two phases.

7 pages, 8 figures, Accepted in Physical Review B

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Cited by in corpus (7)

• Dynamical Quantum Phase Transition and Quasi Particle Excitation
• Dynamical Topological Quantum Phase Transitions at Criticality
• Kibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticity
• Work statistics and symmetry breaking in an excited state quantum phase transition
• Dynamical quantum phase transition in a bosonic system with long-range interactions
• The three phases of quantum annealing: fast, slow, and very slow
• Spin-orbit coupling in the presence of strong atomic correlations