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SUMMARY:Entanglement Rényi entropies from Ballistic Fluctuations Theory: 
 the free fermionic case - Paola Ruggiero\, Kings College London
DTSTART:20240530T130000Z
DTEND:20240530T140000Z
UID:TALK212944@talks.cam.ac.uk
CONTACT:Gaurav
DESCRIPTION:Recently\, a new framework dubbed Ballistic Fluctuation Theory
  (BFT) has been proposed\, which gives access to the full statistics of fl
 uctuations of ballistically transported conserved quantities within homoge
 neous\, stationary states [1]. The formalism\, based on large deviation th
 eory (LDT)\, is expected to apply to generic one-dimensional systems with 
 an Euler hydrodynamic description. One of its most interesting application
  is to correlation functions of twist fields\, which can be introduced any
  time the system possesses a symmetry. A particularly important example ar
 e branch-point twist fields associated to the Zn symmetry in a n-copies re
 plicated theory\, whose correlations functions provide the starting point 
 for computing Rényi entanglement entropies within the replica approach [2
 ]. In this talk\, focusing on free fermionic systems\, we apply the formal
 ism to correlation functions of branch-point twist fields and show that bo
 th the equilibrium behavior and the dynamics of Renyi entanglement entropi
 es can be simply derived from a unique formula\, thus providing a unified 
 interpretation of the two results [3].\n\nRefs:\n[1] Doyon\, Myers\, “Fl
 uctuations in ballistic transport from Euler hydrodynamics”\, J. Ann. He
 nri Poincaré 21\, 255-302 (2020)\n[2] Calabrese\, Cardy\, “Entanglement
  Entropy and Quantum Field Theory”\, J. Stat. Mech. P06002 (2004)\n[3] D
 el Vecchio Del Vecchio\, Doyon\, Ruggiero\,  SciPost Phys. Core 7\, 005 (2
 024)
LOCATION:TCM Seminar Room
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