Signatures of chaos in nonintegrable models of quantum field theories
We study signatures of quantum chaos in $(1+1)D$ quantum field theory (QFT) models. Our analysis is based on the method of Hamiltonian truncation, a numerical approach for the construction of low-energy spectra and eigenstates of QFTs that can be considered as perturbations of exactly solvable models. We focus on the double sine-Gordon, also studying the massive sine-Gordon and $\phi^4$ model, all of which are nonintegrable and can be studied by this method with sufficiently high precision from small to intermediate perturbation strength. We analyze the statistics of level spacings and of eigenvector components, which are expected to follow random matrix theory predictions. While level spacing statistics are close to the Gaussian orthogonal ensemble (GOE) as expected, on the contrary, the eigenvector components follow a distribution markedly different from the expected Gaussian. Unlike in the typical quantum chaos scenario, the transition of level spacing statistics to chaotic behavior takes place already in the perturbative regime. Moreover, the distribution of eigenvector components does not appear to change or approach Gaussian behavior, even for relatively large perturbations. Our results suggest that these features are independent of the choice of model and basis.
2021
2021-05-12 11:21:35
1033
quantum mechanics, quantum chaos, quantum field theory
kvantna mehanika, kvantni kaos, kvantna teorija polja
dk_c
Miha
Srdinšek
70
Tomaž
Prosen
70
Spyros
Sotiriadis
70
UDK
4
530.145
ISSN pri članku
9
0031-9007
DOI
15
10.1103/PhysRevLett.126.121602
COBISS_ID
3
62651139
RAZ_Srdinsek_Miha_2021.pdf
3085129
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