Quantum criticality and universality in stationary state of long-range Kitaev model
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913731953295360 |
|---|---|
| author | Mitra, Akash Paul, Sanku Srivastava, Shashi C. L. |
| author_facet | Mitra, Akash Paul, Sanku Srivastava, Shashi C. L. |
| contents | We investigate the signature of quantum criticality in the long-time stationary state of the long-range Kitaev chain by performing various quench protocols. In this model, the pairing interaction decays with distance according to a power law with exponent $α$. Using quantum information-theoretic measures, such as mutual information and logarithmic negativity, we show that, irrespective of the values of $α$, critical-to-critical quench displays quantum criticality even in the stationary state. Remarkably, in the presence of long-range pairing interactions, where fermionic correlators decay algebraically even at non-critical points, signature of quantum criticality persists in the stationary state. Furthermore, the effective central charge, calculated from both mutual information and logarithmic negativity of stationary state following a critical-to-critical quench, agrees with the central charge of the corresponding ground states for both $α= 0$ and $α= 2$. Therefore, information of the universality class can be inferred from the stationary state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01076 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum criticality and universality in stationary state of long-range Kitaev model Mitra, Akash Paul, Sanku Srivastava, Shashi C. L. Quantum Physics Statistical Mechanics Strongly Correlated Electrons We investigate the signature of quantum criticality in the long-time stationary state of the long-range Kitaev chain by performing various quench protocols. In this model, the pairing interaction decays with distance according to a power law with exponent $α$. Using quantum information-theoretic measures, such as mutual information and logarithmic negativity, we show that, irrespective of the values of $α$, critical-to-critical quench displays quantum criticality even in the stationary state. Remarkably, in the presence of long-range pairing interactions, where fermionic correlators decay algebraically even at non-critical points, signature of quantum criticality persists in the stationary state. Furthermore, the effective central charge, calculated from both mutual information and logarithmic negativity of stationary state following a critical-to-critical quench, agrees with the central charge of the corresponding ground states for both $α= 0$ and $α= 2$. Therefore, information of the universality class can be inferred from the stationary state. |
| title | Quantum criticality and universality in stationary state of long-range Kitaev model |
| topic | Quantum Physics Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2412.01076 |