Abstract
We obtain the exact full counting statistics of a cellular automaton with freely propagating vacancies and charged particles that are stochastically scattered or transmitted upon collision by identifying the problem as a colored stochastic six-vertex model with one inert color. Typical charge current fluctuations at vanishing net charge follow a one-parameter distribution that interpolates between the distribution of the charged single-file class in the limit of pure reflection and a Gaussian distribution in the limit of pure transmission.
| Original language | English |
|---|---|
| Article number | 053209 |
| Number of pages | 39 |
| Journal | Journal of Statistical Mechanics: Theory and Experiment |
| Volume | 2025 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 30 May 2025 |
Bibliographical note
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Keywords
- cellular automata
- exact results
- fluctuation phenomena
- integrable spin chains and vertex models
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Statistics, Probability and Uncertainty
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Understanding thermalization through exact dynamics of quantum circuits
Klobas, K. (Principal Investigator)
8/04/24 → 30/09/25
Project: Research
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