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ac-Driven quantum phase transition in the Lipkin-Meshkov-Glick model.

G Engelhardt¹, V M Bastidas, C Emary

¹Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany. georgt@itp.tu-berlin.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|June 18, 2013

Summary

We discovered new quantum phase transitions in the Lipkin-Meshkov-Glick model using external driving. The study shows how driving amplitude controls system stability and reveals dynamically stabilized quantum phases.

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Area of Science:

Quantum physics
Condensed matter theory
Many-body systems

Background:

The Lipkin-Meshkov-Glick model is a fundamental model for studying quantum many-body phenomena.
Understanding nonequilibrium quantum phase transitions is crucial for developing quantum technologies.

Purpose of the Study:

To investigate quantum phase transitions in the Lipkin-Meshkov-Glick model under external driving.
To explore the role of monochromatic modulation in inducing and controlling these transitions.
To characterize the resulting phase diagram and emergent quantum phases.

Main Methods:

Applying monochromatic modulation to the interparticle interaction in the Lipkin-Meshkov-Glick model.
Analyzing the system's behavior to establish a phase diagram.
Studying the quantum evolution to identify dynamically stabilized states.

Main Results:

Established a set of nonequilibrium quantum phase transitions driven by modulated interparticle interactions.
Revealed a rich phase diagram characterized by multistability, tunable by driving field amplitude.
Identified dynamically stabilized quantum phases resulting from external driving.

Conclusions:

External driving provides a mechanism to induce and control quantum phase transitions in the Lipkin-Meshkov-Glick model.
The amplitude of the driving field is a key parameter for tuning system stability and the number of accessible configurations.
Dynamically stabilized states represent a novel class of quantum phases achievable through external modulation.