Quenching and generation of random states in a kicked Ising model

TL;DR

This study numerically investigates how a kicked Ising model with pulsed and continuous fields can generate highly entangled states and exhibit quantum resonance phenomena, with states showing properties similar to random states.

Contribution

It demonstrates the generation of multipartite entanglement and quantum resonance effects in a kicked Ising model, linking dynamics to properties of random states.

Findings

Entanglement reaches near maximum values driven by the longitudinal field.

Quantum resonance causes entanglement to remain unchanged at specific pulse durations.

Evolved states exhibit statistical properties similar to random states.

Abstract

The kicked Ising model with both a pulsed transverse and a continuous longitudinal field is studied numerically. Starting from a large transverse field and a state that is nearly an eigenstate, the pulsed transverse field is quenched with a simultaneous enhancement of the longitudinal field. The generation of multipartite entanglement is observed along with a phenomenon akin to quantum resonance when the entanglement does not evolve for certain values of the pulse duration. Away from the resonance, the longitudinal field can drive the entanglement to near maximum values that is shown to agree well with those of random states. Further evidence is presented that the time evolved states obtained do have some statistical properties of such random states. For contrast the case when the fields have a steady value is also discussed.