Excited-state quantum phase transitions and periodic dynamics

Abstract

We investigate signatures of the excited-state quantum phase transition in the periodic dynamics of the Lipkin-Meshkov-Glick model and the Tavis-Cummings model. In the thermodynamic limit, expectation values of observables in eigenstates of the system can be calculated using classical trajectories. Motivated by this, we suggest a method based on the time evolution of the finite-size system, to find singularities in observables, which arise due to the excited-state quantum phase transition.

arXiv comment9 pages, 3 figures, comments are welcome

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• Probing excited-state quantum phase transition in a quantum many body system via out-of-time-ordered correlator
• Cavity assisted single- and two-mode spin-squeezed states via phase-locked atom-photon coupling
• Spin squeezing by tensor twisting and Lipkin-Meshkov-Glick dynamics in a toroidal Bose-Einstein condensate with spatially modulated nonlinearity
• Delocalization and quantum chaos in atom-field systems
• Excited-state quantum phase transitions in spinor Bose-Einstein condensates
• Probing the excited-state quantum phase transition through statistics of Loschmidt echo and quantum work
• Effects of excited state quantum phase transitions on system dynamics
• Excited-state quantum phase transition and the quantum speed limit
• Dissipative Two-Mode Tavis-Cummings Model with Time-Delayed Feedback Control
• Signatures of excited state quantum phase transitions in quantum many body systems: Phase space analysis
• Time delayed control of excited state quantum phase transitions in the Lipkin-Meshkov-Glick model
• Analytical description of the survival probability of coherent states in regular regimes
• Avoided crossings and dynamical tunneling close to excited-state quantum phase transitions
• Excited State Quantum Phase Transitions Studied from a Non-Hermitian Perspective
• Nonadiabatic dynamics of the excited states for the Lipkin-Meshkov-Glick model
• Regularity and chaos in cavity QED
• Quantum fidelity susceptibility in excited state quantum phase transitions: application to the bending spectra of nonrigid molecules
• Coherent Quantum Dynamics: What Fluctuations Can Tell
• Characterizing the excited-state quantum phase transition via the dynamical and statistical properties of the diagonal entropy
• Euler top with a rotor: classical analogies of spin squeezing and quantum phase transitions in a generalized Lipkin-Meshkov-Glick model
• Critical phenomena in light-matter systems with collective matter interactions
• Wiseman-Milburn Control for the Lipkin-Meshkov-Glick Model
• Excited stated quantum phase transitions and the entropy of the work distribution in the anharmonic Lipkin-Meshkov-Glick model
• Multifractality and excited-state quantum phase transition in ferromagnetic spin-$1$ Bose-Einstein condensates
• Excited-state quantum phase transitions in constrained systems
• Semiclassical bifurcations and topological phase transitions in a one-dimensional lattice of coupled Lipkin-Meshkov-Glick models
• Nonlinear dynamics of superpostion of wavepackets
• Exact solutions and Dynamical phase transitions in the Lipkin-Meshkov-Glick model with Dual nonlinear interactions
• Quantum phase transition in an effective three-mode model of interacting bosons