Excited stated quantum phase transitions and the entropy of the work distribution in the anharmonic Lipkin-Meshkov-Glick model
arXiv:2310.14285 · doi:10.1103/PhysRevE.109.064110
Abstract
Studying the implications and characterizations of the excited state quantum phase transitions (ESQPTs) would enable us to understand various phenomena observed in quantum many body systems.In this work, we delve into the affects and characterizations of the ESQPTs in the anharmonic Lipkin-Meshkov-Glick (LMG) model by means of the entropy of the quantum work distribution. The entropy of the work distribution measures the complexity of the work distribution and behaves as a valuable tool for analyzing nonequilibrium work statistics.We show that the entropy of the work distribution captures salient signatures of the underlying ESQPTs in the model.In particular, a detailed analyses of the scaling behavior of the maximal entropy verifies thatit acts as a witness of the ESQPTs. We further demonstrate that the entropy of the work distribution also reveals the features of the ESQPTs in the energy space and can be used to determine their critical energies. Our results provide further evidence of the usefulness of the entropy of the work distribution for investigating various phase transitions in quantum many body systems and open up a promising way for experimentally exploring the signatures of ESQPTs.
10 pages,6 figures
References in corpus (29)
- Fluctuation theorems: Work is not an observable
- Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
- The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
- Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
- Excited state quantum phase transitions in many-body systems
- Exact spectrum of the Lipkin-Meshkov-Glick model in the thermodynamic limit and finite-size corrections
- Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
- Excited-state quantum phase transitions
- Impact of Quantum Phase Transitions on Excited Level Dynamics
- Assessing the non-equilibrium thermodynamics in a quenched quantum many-body system via single projective measurements
- Excited-state quantum phase transition in the Rabi model
- Kirkwood-Dirac quasiprobability approach to the statistics of incompatible observables
- Criticality revealed through quench dynamics the Lipkin-Meshkov-Glick model
- Excited-state quantum phase transitions and periodic dynamics
- Time evolution of spread complexity in quenched Lipkin-Meshkov-Glick model
- Dynamical and excited-state quantum phase transitions in collective systems
- Spectral kissing and its dynamical consequences in the squeeze-driven Kerr oscillator
- Dynamical quantum phase transitions in a spinor Bose-Einstein condensate and criticality enhanced quantum sensing
- What is the most general class of quasiprobabilities of work?
- Work statistics and symmetry breaking in an excited state quantum phase transition
- Excited-State Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model I: Static Aspects
- Non-Gaussian work statistics at finite-time driving
- Entropy of the quantum work distribution
- Impact of chaos on precursors of quantum criticality
- Excited-State Quantum Phase Transitions in the Anharmonic Lipkin-Meshkov-Glick Model: Dynamical Aspects
- Excited state quantum phase transition and Loschmidt echo spectra in a spinor Bose-Einstein condensate
- Work statistics and thermal phase transitions
- Excited-State Phase Diagram of a Ferromagnetic Quantum Gas
- A Wigner quasiprobability distribution of work