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Critical quantum dynamics of observables at eigenstate transitions
ID Jiricek, Simon (Author), ID Hopjan, Miroslav (Author), ID Łydżba, Patrycja (Author), ID Heidrich-Meisner, Fabian (Author), ID Vidmar, Lev (Author)

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Abstract
It is an outstanding goal to unveil the key features of quantum dynamics at eigenstate transitions. Focusing on quadratic fermionic Hamiltonians that exhibit localization transitions, we identify physical observables that exhibit scale-invariant critical dynamics at the transition when quenched from the initially localized charge-density-wave states. The identification is based on two ingredients: (a) a relationship between the time evolution of observables in a many-body state and the transition probabilities of single-particle states, and (b) scale invariance of transition probabilities, which generalizes the corresponding recent result for survival probabilities [M. Hopjan and L. Vidmar, Phys. Rev. Lett. 131, 060404 (2023); Phys. Rev. Res. 5, 043301 (2023)]. These properties suggest that the scale-invariant critical dynamics in the quantum-quench dynamics is also exhibited by the observables, which share the common eigenbasis with the Hamiltonian before the quench. Focusing on experimentally relevant observables such as site occupations and the particle imbalance, we numerically demonstrate their critical behavior at the eigenstate transitions in the three-dimensional Anderson model and the one-dimensional Aubry-André model.

Language:English
Keywords:quantum mechanics, quantum chaos, Anderson localization, phase transitions
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Publication status:Published
Publication version:Author Accepted Manuscript
Year:2024
Number of pages:Str. 205157-1-205157-19
Numbering:Vol. 109, iss. 20
PID:20.500.12556/RUL-165917 This link opens in a new window
UDC:530.145
ISSN on article:2469-9950
DOI:10.1103/PhysRevB.109.205157 This link opens in a new window
COBISS.SI-ID:217697539 This link opens in a new window
Publication date in RUL:13.12.2024
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Downloads:55
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Record is a part of a journal

Title:Physical review
Publisher:American Physical Society
ISSN:2469-9950
COBISS.SI-ID:2997348 This link opens in a new window

Secondary language

Language:Slovenian
Keywords:kvantna mehanika, kvantni kaos, Andersonova lokalizacija, fazni prehodi

Projects

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P1-0044-2022
Name:Teorija trdnih snovi in statistična fizika

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:N1-0273-2023
Name:Neergodična dinamika v sistemih brez nereda

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J1-50005-2023
Name:Fazni prehodi z zlomom ergodičnosti

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:N1-0369-2024
Name:Skalirna invarianca dinamičnih prehodov

Funder:Other - Other funder or multiple funders
Funding programme:Deutsche Forschungsgemeinschaft (DFG)
Project number:499180199

Funder:Other - Other funder or multiple funders
Funding programme:Deutsche Forschungsgemeinschaft (DFG)
Project number:436382789

Funder:Other - Other funder or multiple funders
Funding programme:Deutsche Forschungsgemeinschaft (DFG)
Project number:493420525

Funder:Other - Other funder or multiple funders
Funding programme:National Science Foundation (NSF)
Project number:NSF PHY-1748958

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