Ergodicity breaking and deviation from eigenstate thermalization in relativistic quantum field theory
ID Srdinšek, Miha (Author), ID Prosen, Tomaž (Author), ID Sotiriadis, Spyros (Author)

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The validity of the ergodic hypothesis in quantum systems can be rephrased in the form of the eigenstate thermalization hypothesis (ETH), a set of statistical properties for the matrix elements of local observables in energy eigenstates, which is expected to hold in any ergodic system. We test the ETH in a nonintegrable model of relativistic quantum field theory (QFT) using the numerical method of Hamiltonian truncation in combination with analytical arguments based on Lorentz symmetry and renormalization group theory. We find that there is an infinite sequence of eigenstates with the characteristics of quantum many-body scars—that is, exceptional eigenstates with observable expectation values that lie far from thermal values—and we show that these states are one-quasiparticle states. We argue that in the thermodynamic limit the eigenstates cover the entire area between two diverging lines: the line of one-quasiparticle states, whose direction is dictated by relativistic kinematics, and the thermal average line. Our results suggest that the strong version of the ETH is violated in any relativistic QFT whose spectrum admits a quasiparticle description.

Keywords:statistical physics, eigenstate thermalization, quantum field theory
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Publication version:Author Accepted Manuscript
Publication date:12.01.2024
Number of pages:Str. 021601-1-021601-7
Numbering:Vol. 132, iss. 2
PID:20.500.12556/RUL-155535 This link opens in a new window
ISSN on article:0031-9007
DOI:10.1103/PhysRevLett.132.021601 This link opens in a new window
COBISS.SI-ID:191511299 This link opens in a new window
Publication date in RUL:05.04.2024
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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:statistična fizika, termalizacija lastnih stanj, kvantna teorija polja


Funder:EC - European Commission
Funding programme:European Commission
Project number:101030988
Name:Tensor Network Truncated Conformal Space Approach

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P1-0402-2019
Name:Matematična fizika

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