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

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.

11 pages, 6 figures. arXiv admin note: substantial text overlap with arXiv:2310.15101

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• Dynamics of decoherence in a noisy driven environment
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• Topological Classification of Dynamical Quantum Phase Transitions in the 1D XY model via Critical Mode Analysis
• Julia Set in Quantum Evolution: The case of Dynamical Quantum Phase Transitions
• Dynamics of Majorana zero modes across hybrid Kitaev chain
• Dynamics of quantum Fisher and Wigner-Yanase skew information following a noisy quench
• Analytical classification of Majorana zero-mode spatial profiles in extended Kitaev chains: probability maxima can shift inward
• Floquet dynamical quantum phase transitions in periodically flux-quenched systems
• Universal features of non-analytical energy storage in quantum critical quantum batteries