23–25 Jan 2019
Universitat de Barcelona
Europe/Madrid timezone

How to Build the Thermofield Double State

23 Jan 2019, 14:30
1h
Sala Eduard Fontserè, Facultat de Física i Química (Universitat de Barcelona)

Sala Eduard Fontserè, Facultat de Física i Química

Universitat de Barcelona

Carrer de Martí i Franquès, 1 08028, Barcelona, Spain

Speaker

Diego Hofman

Description

Given two copies of any quantum mechanical system, one may want to prepare them in the thermofield double state for the purpose of studying thermal physics or black holes. However, the thermofield double is a unique entangled pure state and may be difficult to prepare. We propose a local interacting Hamiltonian for the combined system whose ground state is approximately the thermofield double. The energy gap for this Hamiltonian is of order the temperature. Our construction works for any quantum system satisfying the Eigenvalue Thermalization Hypothesis.

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