How to Build the Thermofield Double State
High Energy Physics - Theory
2019-02-20 v2 Strongly Correlated Electrons
Quantum Physics
Abstract
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.
Cite
@article{arxiv.1811.11528,
title = {How to Build the Thermofield Double State},
author = {William Cottrell and Ben Freivogel and Diego M. Hofman and Sagar F. Lokhande},
journal= {arXiv preprint arXiv:1811.11528},
year = {2019}
}
Comments
are welcome. 47 pages, 8 figures. v2: Improved discussion of uniqueness and CFT primaries