Minimally Entangled Typical Thermal State Algorithms
E.M. Stoudenmire, Steven R. White
TL;DR
This paper introduces a METTS-based sampling method for simulating finite temperature quantum systems efficiently, providing detailed algorithms and exploring their properties and applications.
Contribution
It presents a comprehensive implementation of METTS algorithms, demonstrating their efficiency and revealing physical properties of quantum systems.
Findings
METTS can efficiently simulate finite temperature systems
Properties of METTS reveal system order and excitations
METTS form an efficient basis for sampling
Abstract
We discuss a method based on sampling minimally entangled typical thermal states (METTS) that can simulate finite temperature quantum systems with a computational cost comparable to ground state DMRG. Detailed implementations of each step of the method are presented, along with efficient algorithms for working with matrix product states and matrix product operators. We furthermore explore how properties of METTS can reveal characteristic order and excitations of systems and discuss why METTS form an efficient basis for sampling. Finally, we explore the extent to which the average entanglement of a METTS ensemble is minimal.
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