Observable-projected Ensemble

by Sara Murciano (LPTMS, Université Paris-Saclay)

Wednesday Jun 18, 2025, 12:00 PM → 1:00 PM Europe/Paris

Amphithéâtre Léon Motchane (IHES)

Seed Seminar of Mathematics and Physics

Local measurements in many‐body quantum systems can produce surprising phenomena—from preparing long‐range entangled states to driving measurement‐induced phase transitions and modifying critical behavior. In this talk, I will introduce a new “observable‐projected” protocol: rather than performing complete projective measurements on the complement of a subsystem, we measure a single, local Hermitian operator on part of that complement. The result is a mixed‐state ensemble on the subsystem that remains analytically tractable within a conformal field theory framework. I will then show how this ensemble’s entanglement structure can be computed, and present a detailed case study of the free compact boson.

 

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