On Krylov Complexity as a Probe of the Quantum Mpemba Effect
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908622868447232 |
|---|---|
| author | Alishahiha, Mohsen Vasli, Mohammad Javad |
| author_facet | Alishahiha, Mohsen Vasli, Mohammad Javad |
| contents | We investigate Krylov state complexity as a probe of the quantum Mpemba effect in quantum spin chains. For models without global $U(1)$ symmetry, Krylov complexity exhibits clear Mpemba-like crossings, consistent with conventional diagnostics such as the trace distance, while offering a complementary interpretation in terms of Hilbert-space exploration and dynamical delocalization. In $U(1)$-symmetric systems, we confirm that the recently proposed symmetric component of Krylov complexity serves as a robust and reliable indicator of the QME, capturing anomalous relaxation even in cases where the total complexity fails to do so. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_14740 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Krylov Complexity as a Probe of the Quantum Mpemba Effect Alishahiha, Mohsen Vasli, Mohammad Javad High Energy Physics - Theory Quantum Physics We investigate Krylov state complexity as a probe of the quantum Mpemba effect in quantum spin chains. For models without global $U(1)$ symmetry, Krylov complexity exhibits clear Mpemba-like crossings, consistent with conventional diagnostics such as the trace distance, while offering a complementary interpretation in terms of Hilbert-space exploration and dynamical delocalization. In $U(1)$-symmetric systems, we confirm that the recently proposed symmetric component of Krylov complexity serves as a robust and reliable indicator of the QME, capturing anomalous relaxation even in cases where the total complexity fails to do so. |
| title | On Krylov Complexity as a Probe of the Quantum Mpemba Effect |
| topic | High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2510.14740 |