Critical quantum dynamics of observables at eigenstate transitions

Jiricek, Simon (avtor), Hopjan, Miroslav (avtor), Łydżba, Patrycja (avtor), Heidrich-Meisner, Fabian (avtor), Vidmar, Lev (avtor)

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.

• Jezik: Angleški jezik
• Ključne besede: quantum mechanics, quantum chaos, Anderson localization, phase transitions
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2024
• Št. strani: Str. 205157-1-205157-19
• Številčenje: Vol. 109, iss. 20
• PID: 20.500.12556/RUL-165917
• UDK: 530.145
• ISSN pri članku: 2469-9950
• DOI: 10.1103/PhysRevB.109.205157
• COBISS.SI-ID: 217697539
• Datum objave v RUL: 13.12.2024

Gradivo je del revije

• Naslov: Physical review
• Založnik: American Physical Society
• ISSN: 2469-9950
• COBISS.SI-ID: 2997348

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: kvantna mehanika, kvantni kaos, Andersonova lokalizacija, fazni prehodi