Minimally Entangled Typical Thermal State Algorithms

Details Minimally Entangled Typical Thermal State Algorithms Minimally Entangled Typical Thermal State Algorithms

2010-02-05

arxiv.org/abs/1002.1305v1

2010 New J. Phys. 12 055026

Physics

Condensed Matter

Strongly Correlated Electrons

18 pages, 14 figures

Scientific paper

10.1088/1367-2630/12/5/055026

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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