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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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MD5: A7642C42B4FDEF128B555550BC86CAB0
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https://journals.aps.org/prb/abstract/10.1103/PhysRevB.109.205157
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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
UDC:
530.145
ISSN on article:
2469-9950
DOI:
10.1103/PhysRevB.109.205157
COBISS.SI-ID:
217697539
Publication date in RUL:
13.12.2024
Views:
115
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
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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