Weak integrability breaking and level spacing distribution
Recently it was suggested that certain perturbations of integrable spin chains lead to a weak breaking of integrability in the sense that integrability is preserved at the first order in the coupling. Here we examine this claim using level spacing distribution. We find that the volume dependent c...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SciPost
2021-08-01
|
| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.11.2.037 |
| Summary: | Recently it was suggested that certain perturbations of integrable spin
chains lead to a weak breaking of integrability in the sense that integrability
is preserved at the first order in the coupling. Here we examine this claim
using level spacing distribution. We find that the volume dependent crossover
between integrable and chaotic level spacing statistics which marks the onset
of quantum chaotic behaviour, is markedly different for weak vs. strong
breaking of integrability. In particular, for the gapless case we find that the
crossover coupling as a function of the volume $L$ scales with a $1/L^2$ law
for weak breaking as opposed to the $1/L^3$ law previously found for the strong
case. |
|---|---|
| ISSN: | 2542-4653 |