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arXiv · 2407.12140

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

R. Baghran·R. Jafari·A. Langari
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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.

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R. Baghran, R. Jafari, A. Langari. 2024-07-16. Competition of long-range interactions and noise at ramped quench dynamical quantum phase transition: The case of the long-range pairing Kitaev chain. https://doi.org/10.1103/physrevb.110.064302

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