Signatures of chaos in nonintegrable models of quantum field theories
ID Srdinšek, Miha (Author), ID Prosen, Tomaž (Author), ID Sotiriadis, Spyros (Author)

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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:quantum mechanics, quantum chaos, quantum field theory
Work type:Article (dk_c)
Typology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Publication status in journal:Published
Article version:Postprint, final article version, accepted into publication
Number of pages:Str. 121602-1-121602-6
Numbering:Vol. 126, iss. 12
PID:20.500.12556/RUL-126994 This link opens in a new window
ISSN on article:0031-9007
DOI:10.1103/PhysRevLett.126.121602 This link opens in a new window
COBISS.SI-ID:62651139 This link opens in a new window
Publication date in RUL:12.05.2021
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Record is a part of a journal

Title:Physical review letters
Shortened title:Phys. rev. lett.
Publisher:American Physical Society
COBISS.SI-ID:1282575 This link opens in a new window

Secondary language

Keywords:kvantna mehanika, kvantni kaos, kvantna teorija polja


Funder:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Project number:N1-0109
Name:Kvantni sunki, transport in prepletenost v neravnovesnih enodimenzionalnih kvantnih sistemih

Funder:EC - European Commission
Funding programme:H2020
Project number:694544
Name:Open Many-body Non-Equilibrium Systems

Funder:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Project number:P1-0402
Name:Matematična fizika

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