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Explore the ground state properties of entanglement entropy in many-body systems through this 54-minute conference talk delivered at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the universal Gaussian-like statistics of charge resolved entanglement entropy and its importance in condensed matter physics. Examine how the ground state of a bipartite system can be split into different charge sectors, each constrained to a specific charge number in one subsystem. Investigate the large deviation form of the tails away from the Gaussian-like mean and discover the universal structure argued to exist in these tails. Gain insights into novel techniques for calculating and simulating ground states of many-body systems, a crucial problem in the field of condensed matter physics.
