Large deviations and large biasing of the ground state entanglement entropy

Ohad Shpielberg (Haifa U.)

Oct 14. 2022, 10:00 — 11:00

In recent years, the ground state properties of the entanglement entropy have been studies in detail, yielding universal behavior and suggesting novel techniques to calculate and simulate ground states of many-body systems; an important problem in condensed matter physics.   

One such result is the universal Gaussian-like statistics of the charge resolved entanglement entropy. In the presence of a conserved quantity, one can split the ground state of a bipartite system into different charge sectors, each describing the state constrained to a set charge number in one of the subsystems. Consequently, the entanglement entropy can be written as the sum of this different charge sectors, dubbed the charge resolved entanglement entropy. Here, we explore large deviation form of the tails, away from the Gaussian-like mean. It will be argued that the tails have a universal structure. 

 

 

Further Information
Venue:
ESI Schrödinger and Boltzmann Lecture Hall
Recordings:
Recording
Associated Event:
Large Deviations, Extremes and Anomalous Transport in Non-equilibrium Systems (Thematic Programme)
Organizer(s):
Christoph Dellago (U of Vienna)
Satya Majumdar (U Paris Sud, Orsay)
David Mukamel (Weizmann Institute, Rehovot)
Harald Posch (U of Vienna)
Gregory Schehr (U Paris Sud, Orsay)