Details

Autor(en) / Beteiligte

• Iwaki, Atsushi
• Hotta, Chisa

Titel

Thermal pure quantum matrix product states: a simple numerical protocol for finite temperature

Ist Teil von

• Journal of physics. Conference series, 2022-03, Vol.2207 (1), p.12031

Ort / Verlag

Bristol: IOP Publishing

Erscheinungsjahr

2022

Link zum Volltext

Quelle

EZB Free E-Journals

Beschreibungen/Notizen

• Abstract We present several features of a thermal pure quantum matrix product state (TPQ-MPS). TPQ-MPS can simulate finite temperature quantum many-body systems with a numerical cost comparable to the matrix product algorithm for the ground state in one-dimensional systems. Starting from a random matrix product state with auxiliary sites attached to the edges of the system, we successively operate the Hamiltonian with a shift-constant and obtain a series of TPQ-MPS that represents the microcanonical pure state at the highest temperature to the one at the lowest available temperature. How the parameters of the TPQ-MPS protocol influence the effective bond dimension χ of the matrix and the temperature distribution of these microcanonical states is examined.