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

@article{Campbell2016CriticalityRT, title={Criticality revealed through quench dynamics in the Lipkin-Meshkov-Glick model}, author={Steve Campbell}, journal={Physical Review B}, year={2016}, volume={94}, pages={184403} }

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…

## 37 Citations

### Polaron-transformed dissipative Lipkin-Meshkov-Glick model

- PhysicsPhysical Review A
- 2019

We investigate the Lipkin-Meshkov-Glick model coupled to a thermal bath. Since the isolated model itself exhibits a quantum phase transition, we explore the critical signatures of the open system.…

### Time evolution of spread complexity in quenched Lipkin-Meshkov-Glick model

- Physics
- 2022

: We use the spread complexity of a time evolved state after a sudden quantum quench in the Lipkin-Meshkov-Glick (LMG) model prepared in the ground state as a probe of equilibrium signatures of…

### Quench dynamics and zero-energy modes: The case of the Creutz model

- PhysicsPhysical Review B
- 2019

In most lattice models, the closing of a band gap typically occurs at high-symmetry points in the Brillouin zone. Differently, in the Creutz model-describing a system of spinless fermions hopping on…

### Excited-state quantum phase transitions in the anharmonic Lipkin-Meshkov-Glick model: Static aspects.

- PhysicsPhysical review. E
- 2022

The basic Lipkin-Meshkov-Glick model displays a second-order ground-state quantum phase transition and an excited-state quantum phase transition (ESQPT). The inclusion of an anharmonic term in the…

### Dynamical quantum correlations after sudden quenches

- PhysicsPhysical Review A
- 2018

We employ the mean-field approach in the fermionic picture of the spin-1/2 XXZ chain to investigate the dynamics of bipartite quantum discord and concurrence under sudden quenching. In the case, when…

### Thermalization of the Lipkin-Meshkov-Glick model in blackbody radiation

- Physics
- 2017

In a recent work, we have derived simple Lindblad-based equations for the thermalization of systems in contact with a thermal reservoir. Here, we apply these equations to the Lipkin-Meshkov-Glick…

### Nonequilibrium many-body dynamics in supersymmetric quenching

- PhysicsPhysical Review Research
- 2022

We study the dynamics induced by quenching an ultracold quantum many-body system between two supersymmetric Hamiltonians. Such a quench can be created by carefully changing the external trapping…

### Nonequilibrium Criticality in Quench Dynamics of Long-Range Spin Models.

- PhysicsPhysical review letters
- 2020

A prototype of infinite-range interacting models known as the Lipkin-Meshkov-Glick model is considered describing the collective interaction of N spins and the dynamical properties of fluctuations and correlations after a sudden quench of the Hamiltonian are investigated.

### Wiseman–Milburn control for the Lipkin–Meshkov–Glick model

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2018

We apply a measurement-based closed-loop control scheme to the dissipative Lipkin–Meshkov–Glick model. Specifically, we use the Wiseman–Milburn feedback master equation to control its quantum phase…

### Kibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticity

- Physics
- 2020

Geometric quantum speed limits quantify the trade-off between the rate with which quantum states can change and the resources that are expended during the evolution. Counterdiabatic driving is a…

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