Bibliographic Details
| Title: |
Randomness and chaos in qubit models |
| Authors: |
Pak Hang Chris Lau, Chen-Te Ma, Jeff Murugan, Masaki Tezuka |
| Source: |
Physics Letters B, Vol 795, Iss , Pp 230-235 (2019) |
| Publisher Information: |
Elsevier, 2019. |
| Publication Year: |
2019 |
| Collection: |
LCC:Physics |
| Subject Terms: |
Physics, QC1-999 |
| More Details: |
We introduce randomness into a class of integrable models and study the spectral form factor as a diagnostic to distinguish between randomness and chaos. Spectral form factors exhibit a characteristic dip-ramp-plateau behavior in the N>2 SYK2 model at high temperatures that is absent in the N=2 SYK2 model. Our results suggest that this dip-ramp-plateau behavior implies the existence of random eigenvectors in a quantum many-body system. To further support this observation, we examine the Gaussian random transverse Ising model and obtain consistent results without suffering from small N issues. Finally, we demonstrate numerically that expectation values of observables computed in a random quantum state at late times are equivalent to the expectation values computed in the thermal ensemble in a Gaussian random one-qubit model. Keywords: Randomness, Chaos, Spectral From Factor, Thermal Ensemble |
| Document Type: |
article |
| File Description: |
electronic resource |
| Language: |
English |
| ISSN: |
0370-2693 |
| Relation: |
http://www.sciencedirect.com/science/article/pii/S0370269319304137; https://doaj.org/toc/0370-2693 |
| DOI: |
10.1016/j.physletb.2019.05.052 |
| Access URL: |
https://doaj.org/article/e0fae98653de467c85a4348f150ffed3 |
| Accession Number: |
edsdoj.0fae98653de467c85a4348f150ffed3 |
| Database: |
Directory of Open Access Journals |
