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

• URL: http://arxiv.org/abs/2407.12140v1
• Date: Tue, 16 Jul 2024 19:51:33 GMT
• Title: Competition of long-range interactions and noise at ramped quench dynamical quantum phase transition: The case of the long-range pairing Kitaev chain
• Abstract summary: The nonequilibrium dynamics of long-range pairing Kitaev model with noiseless/noisy linear time dependent chemical potential is investigated. 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. We have found that the region with three DQPTs time scales shrinks in the presence of the noise.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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