Survival probability, particle imbalance, and their relationship in quadratic models
- URL: http://arxiv.org/abs/2406.05500v1
- Date: Sat, 8 Jun 2024 15:55:12 GMT
- Title: Survival probability, particle imbalance, and their relationship in quadratic models
- Authors: Miroslav Hopjan, Lev Vidmar,
- Abstract summary: This work gives affirmative answer to the question whether it is possible to measure features of the single-particle survival and transition probabilities by the dynamics of observables in many-body states.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We argue that the dynamics of particle imbalance in quadratic fermionic models is, for the majority of initial many-body product states in 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-Andr\'e model. This work gives affirmative answer to the question whether it is possible to measure features of the single-particle survival and transition probabilities by the dynamics of observables in many-body states.
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