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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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.

Language: English quantum mechanics, quantum chaos, quantum field theory Article (dk_c) 1.01 - Original Scientific Article FMF - Faculty of Mathematics and Physics 2021 Published Postprint, final article version, accepted into publication Str. 121602-1-121602-6 Vol. 126, iss. 12 20.500.12556/RUL-126994 530.145 0031-9007 10.1103/PhysRevLett.126.121602 62651139 12.05.2021 364 186 Kopiraj citat AddThis uses cookies that require your consent. Edit consent...

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Title: Physical review letters Phys. rev. lett. American Physical Society 0031-9007 1282575

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Language: Slovenian kvantna mehanika, kvantni kaos, kvantna teorija polja

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

Funder: EC - European Commission H2020 694544 Open Many-body Non-Equilibrium Systems OMNES

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

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