Miha Srdinšek (Author), Tomaž Prosen (Author), Spyros Sotiriadis (Author)

Abstract

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.

Keywords

kvantna mehanika;kvantni kaos;kvantna teorija polja;quantum mechanics;quantum chaos;quantum field theory;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 530.145
COBISS: 62651139 Link will open in a new window
ISSN: 0031-9007
Views: 327
Downloads: 173
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Other data

Secondary language: Slovenian
Secondary keywords: kvantna mehanika;kvantni kaos;kvantna teorija polja;
Type (COBISS): Article
Pages: str. 121602-1-121602-6
Volume: ǂVol. ǂ126
Issue: ǂiss. ǂ12
Chronology: 2021
DOI: 10.1103/PhysRevLett.126.121602
ID: 12887514