Production of minimally entangled typical thermal states with the Krylov-space approach

2013/06/27 by G. Alvarez, Gonzalo A. Álvarez · 11 citations
Mathematics · Physics and Astronomy · #Computer science #Convergence (economics) #Exponential function #Imaginary time #Mathematical analysis #Mathematics #Observable #Parity (physics) #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Quantum statistical mechanics #Space (punctuation) #Statistical physics #Thermal #Thermodynamics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.87.245130

published in Physical Review B 87(24) (American Physical Society) · revtex4, 4 figures

openalex publication_date 2013/06/27 · arxiv created 2013/07/30 · arxiv updated 2013/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The minimally entangled typical thermal states algorithm is applied to fermionic systems using the Krylov-space approach to evolve the system in imaginary time. The convergence of local observables is studied in a tight-binding system with a site-dependent potential. The temperature dependence of the superconducting correlations of the attractive Hubbard model is analyzed on chains, showing an exponential decay with distance and exponents proportional to the temperature at low temperatures, as expected. In addition, the nonlocal parity correlator is calculated at finite temperature. Other possible applications of the minimally entangled typical thermal states algorithm to fermionic systems are also discussed.

Citations

• Matrix Product Density Operators: Simulation of Finite-Temperature and Dissipative Systems
• Model for the Magnetic Order and Pairing Channels in Fe Pnictide Superconductors
• Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
• Minimally Entangled Typical Quantum States at Finite Temperature
• Density-matrix algorithms for quantum renormalization groups
• The absence of finite-temperature phase transitions in low-dimensional many-body models: a survey and new results
• Minimally entangled typical thermal state algorithms
• Ordering, metastability and phase transitions in two-dimensional systems
• The density-matrix renormalization group