2–6 sept. 2024
LAPTh
Fuseau horaire Europe/Paris

Entanglement Hamiltonian for inhomogeneous free fermions.

Non programmé
20m
Auditorium (LAPTh)

Auditorium

LAPTh

9, chemin de Bellevue 74940 ANNECY

Orateur

Riccarda Bonsignori

Description

The last two decades have witnessed an increasingly growing interest in the study and characterization of the entanglement structure of many-body quantum systems, also due to the development of related experiments. In this framework, a central object is the so-called entanglement Hamiltonian (EH), defined as the logarithm of the reduced density matrix, that provides a full description of the entanglement of a quantum state. In this seminar, I will present results on the EH of inhomogeneous free fermionic systems, in the presence of a linear or quadratic potential. For both cases we find that the EH is given by a deformed version of the physical Hamiltonian, with local inverse temperatures increasing linearly from the entanglement cut. The results are in perfect agreement with CFT predictions.

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