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

Hopjan, Miroslav (author), Vidmar, Lev (author)

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.

• Language: English
• Keywords: statistical physics, survival probability, eigenstate transitions
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2024
• Number of pages: 20 str.
• Numbering: Vol. 26, iss. 8, art. no. 656
• PID: 20.500.12556/RUL-165402
• UDC: 536.9
• ISSN on article: 1099-4300
• DOI: 10.3390/e26080656
• COBISS.SI-ID: 217709315
• Publication date in RUL: 05.12.2024

Record is a part of a journal

• Title: Entropy
• Shortened title: Entropy
• Publisher: MDPI
• ISSN: 1099-4300
• COBISS.SI-ID: 515806233

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: statistična fizika, verjetnost, preživetje, fazni prehodi