Abstract
This Thesis is devoted to the presentation of recent results of the theory arising from the combination of Generalised Hydrodynamics and Large deviation theory. This theory is termed Ballistic Fluctuation Theory and has been firstly developed in [1, 2]. We will present more recent developments and applications mainly based on papers [3–5] which were part of the works that I have accomplished during the years spent in my Ph.D. at King’s College London under the supervision of Prof. Benjamin Doyon and are those dedicated to this subject. In particular, we present applications to the correlation functions in spin chains and quantum field theories. In this context we analyse Full counting statistics and cumulants of transported U(1) like quantities. Correlation functions of certain types of fields related to internal symmetries appear also in the context of the calculation of certain measures of entanglement. In this respect we will present the developmentof a new technique for the application of such theory to the Renyi entropies.
| Date of Award | 1 Jan 2024 |
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| Original language | English |
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| Supervisor | Benjamin Doyon (Supervisor) |