How to Build the Thermofield Double State

Open Access
Authors
Publication date 14-12-2018
Number of pages 47
Publisher Ithaca, NY: ArXiv
Organisations
  • Faculty of Science (FNWI) - Institute of Physics (IoP) - Institute for Theoretical Physics Amsterdam (ITFA)
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.
Document type Working paper
Language English
Published at https://arxiv.org/abs/1811.11528
Downloads
1811.11528 (Submitted manuscript)
Permalink to this page
Back