Competition of long-range interactions and noise at ramped quench dynamical quantum phase transition: The case of the long-range pairing Kitaev chain

TL;DR

This paper investigates how long-range interactions and noise influence dynamical quantum phase transitions in the Kitaev chain, revealing multiple critical time scales and the effects of noise on these phenomena.

Contribution

It introduces the study of long-range pairing effects on DQPTs under noisy conditions, highlighting the emergence of multiple critical time scales and the impact of noise on these transitions.

Findings

Long-range pairing induces three DQPTs time scales, unlike the single scale in short-range models.

Noise reduces the region with multiple DQPTs and diminishes long-range pairing effects.

Critical sweep velocity for DQPT disappearance is affected by the long-range exponent and noise presence.

Abstract

The nonequilibrium dynamics of long-range pairing Kitaev model with noiseless/noisy linear time dependent chemical potential, is investigated in the frame work of dynamical quantum phase transitions (DQPTs). We have shown for the ramp crosses a single quantum critical point, while the short-range pairing Kitaev model displays a single critical time scale, the long-range pairing induces a region with three DQPTs time scales. We have found that the region with three DQPTs time scales shrinks in the presence of the noise. In addition, we have uncovered for a quench crossess two critical points, the critical sweep velocity above which the DQPTs disappear, enhances by the long-range pairing exponent while decreases in the presence of the noise. On the basis of numerical simulations, we have shown that noise diminishes the long-range pairing inductions.