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

Abstract

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

statistična fizika;termalizacija lastnih stanj;kvantna teorija polja;statistical physics;eigenstate thermalization;quantum field theory;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 536.93
COBISS: 191511299 Link will open in a new window
ISSN: 0031-9007
Views: 8
Downloads: 0
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Other data

Secondary language: Slovenian
Secondary keywords: statistična fizika;termalizacija lastnih stanj;kvantna teorija polja;
Type (COBISS): Article
Pages: str. 021601-1-021601-7
Volume: ǂVol. ǂ132
Issue: ǂiss. ǂ2
Chronology: 2024
DOI: 10.1103/PhysRevLett.132.021601
ID: 23349884