Minimally Entangled Typical Quantum States at Finite Temperature

2009/02/28 by Steven R. White · 11 citations
Computer Science · Physics and Astronomy · #Algorithm #Class (philosophy) #Cluster state #Computer science #Density matrix #Density matrix renormalization group #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Quantum state #Renormalization group #State (computer science) #Statistical physics #W state #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.102.190601

4 pages, 3 figures. v2 has some additional references

arxiv created 2009/03/02 · openalex publication_date 2009/05/11 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We introduce a class of states, called minimally entangled typical thermal states, designed to resemble a typical state of a quantum system at finite temperature with a bias towards classical (minimally entangled) properties. These states reveal in an intuitive way properties such as short-range order which may often be hidden. A finite-T density matrix renormalization group algorithm is presented which is only modestly slower than the T=0 density matrix renormalization group.

Citations

• Matrix Product Density Operators: Simulation of Finite-Temperature and Dissipative Systems
• Density-matrix algorithms for quantum renormalization groups
• Spin diffusion and the anisotropic spin-12Heisenberg chain
• Density Matrix Renormalization Group Method for 2D Classical Models

Cited by

• Cooling down trees for finite-temperature quantum dynamics: Purification within ML-MCTDH
• Matrix product states approaches to operator spreading in ergodic quantum systems
• Unifying Variational and Dynamical Quantum Embedding: From Ghost Gutzwiller Approximation to Dynamical Mean-Field Theory
• Minimally entangled typical thermal states algorithm with Trotter gates
• Density dynamics in the mass-imbalanced Hubbard chain
• Entanglement of midspectrum eigenstates of chaotic many-body systems: Reasons for deviation from random ensembles
• Typicality in random matrix product states
• Mott Insulating States with Competing Orders in the Triangular Lattice Hubbard Model
• Thermal tensor renormalization group simulations of square-lattice quantum spin models
• Continuous Matrix Product Operator Approach to Finite Temperature Quantum States
• Production of minimally entangled typical thermal states with the Krylov-space approach

Related

• Minimally entangled typical thermal state algorithms
• Minimally Entangled Typical Thermal States for Classical and Quantum Simulation of 1+1-Dimensional \mathbb Z₂ Lattice Gauge Theory at Finite Temperature and Density
• One-dimensional quantum systems at finite temperatures can be simulated efficiently on classical computers
• Finite-temperature simulations of strongly correlated systems
• Collapsing Schrödinger Cats in the Density Matrix Renormalization Group