Survival probability, particle imbalance, and their relationship in quadratic models

Hopjan, Miroslav (avtor), Vidmar, Lev (avtor)

We argue that the dynamics of particle imbalance in quadratic fermionic models is, for the majority of initial many-body product states in the site occupation basis, virtually indistinguishable from the dynamics of survival probabilities of single-particle states. We then generalize our statement to a similar relationship between the non-equal time and space density correlation functions in many-body states, and the transition probabilities of single-particle states at nonzero distances. Finally, we study the equal-time connected density–density correlation functions in many-body states, which exhibit certain qualitative analogies with the survival and transition probabilities of single-particle states. Our results are numerically tested for two paradigmatic models of single-particle localization: the 3D Anderson model and the 1D Aubry–André model. This work gives an affirmative answer to the question of whether it is possible to measure features of single-particle survival and transition probabilities by the dynamics of observables in many-body states.

• Jezik: Angleški jezik
• Ključne besede: statistical physics, survival probability, eigenstate transitions
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2024
• Št. strani: 20 str.
• Številčenje: Vol. 26, iss. 8, art. no. 656
• PID: 20.500.12556/RUL-165402
• UDK: 536.9
• ISSN pri članku: 1099-4300
• DOI: 10.3390/e26080656
• COBISS.SI-ID: 217709315
• Datum objave v RUL: 05.12.2024

Gradivo je del revije

• Naslov: Entropy
• Skrajšan naslov: Entropy
• Založnik: MDPI
• ISSN: 1099-4300
• COBISS.SI-ID: 515806233

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: statistična fizika, verjetnost, preživetje, fazni prehodi