Competition of long-range interactions and noise at ramped quench dynamical quantum phase transition: The case of the long-range pairing Kitaev chain
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| Format: | Preprint |
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2024
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| _version_ | 1866910557265723392 |
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| author | Baghran, R. Jafari, R. Langari, A. |
| author_facet | Baghran, R. Jafari, R. Langari, A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12140 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Competition of long-range interactions and noise at ramped quench dynamical quantum phase transition: The case of the long-range pairing Kitaev chain Baghran, R. Jafari, R. Langari, A. Strongly Correlated Electrons Statistical Mechanics Quantum Physics 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. |
| title | Competition of long-range interactions and noise at ramped quench dynamical quantum phase transition: The case of the long-range pairing Kitaev chain |
| topic | Strongly Correlated Electrons Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2407.12140 |