Power-law growth of time and strength of squeezing near quantum critical point

TL;DR

This paper investigates how the strength and duration of quantum squeezing grow near the critical point of quantum phase transitions in two models, revealing power-law behaviors and critical exponents.

Contribution

It demonstrates the power-law scaling of squeezing properties near quantum critical points in the one-axis twisting and Dicke models, identifying critical exponents for both models.

Findings

Squeezing strength exhibits power-law growth with critical exponent 1/2 in both models.

Squeezing duration scales with a critical exponent of 1/2 in both models.

Critical exponents are consistent across models, indicating universal behavior.

Abstract

The dynamics of squeezing across quantum phase transition in two basic models, viz., the one-axis twisting model in transverse field and the Dicke model, is investigated using Holstein-Primakoff representation in the large spin limit. Near the phase boundary between the disordered (normal) and the ordered (superradiant) phase, the strength of spin and photon squeezing and the duration of time for which the system stays in the highly squeezed state are found to exhibit strong power-law growth with distance from the quantum critical point. The critical exponent for squeezing time is found to be 1/2 in both the models, and for squeezing strength, it is shown to be 1/2 in the one-axis twisting model, and 1 for the Dicke model which in the limit of extreme detuning also becomes 1/2.