Minimally Entangled Typical Thermal State Algorithms

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.

18 pages, 14 figures

References in corpus (4)

• Real time evolution using the density matrix renormalization group
• The ALPS project release 1.3: open source software for strongly correlated systems
• From density-matrix renormalization group to matrix product states
• Time-step targetting methods for real-time dynamics using DMRG

Cited by in corpus (4)

• The density-matrix renormalization group in the age of matrix product states
• Linearized Tensor Renormalization Group Algorithm for Thermodynamics of Quantum Lattice Models
• Tensor operators: constructions and applications for long-range interaction systems
• Dynamical simulations of classical stochastic systems using matrix product states