Symmetric Minimally Entangled Typical Thermal States

Abstract

We extend White's minimally entangled typically thermal states approach (METTS) to allow Abelian and non-Ablian symmetries to be exploited when computing finite-temperature response functions in one-dimensional (1D) quantum systems. Our approach, called SYMETTS, starts from a METTS sample of states that are not symmetry eigenstates, and generates from each a symmetry eigenstate. These symmetry states are then used to calculate dynamic response functions. SYMETTS is ideally suited to determine the low-temperature spectra of 1D quantum systems with high resolution. We employ this method to study a generalized diamond chain model for the natural mineral azurite Cu${}_3$(CO${}_3{)}_2$(OH${)}_2$, which features a plateau at $\frac{1}{3}$ in the magnetization curve at low temperatures. Our calculations provide new insight into the effects of temperature on magnetization and excitation spectra in the plateau phase, which can be fully understood in terms of the microscopic model.

17 pages, 15 figures, published version

References in corpus (17)

• The density-matrix renormalization group in the age of matrix product states
• Real time evolution using the density matrix renormalization group
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• The Kernel Polynomial Method
• Minimally Entangled Typical Thermal State Algorithms
• "Light-cone" dynamics after quantum quenches in spin chains
• Spectral functions in one-dimensional quantum systems at T>0
• Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
• Chebyshev matrix product state approach for spectral functions
• Nature of the spin dynamics and 1/3 magnetization plateau in azurite
• Chebyshev Matrix Product State Impurity Solver for the Dynamical Mean-Field Theory
• Chebyshev expansion for Impurity Models using Matrix Product States
• Magnetism and Thermodynamics of Spin-1/2 Heisenberg Diamond Chains in a Magnetic Field
• Dynamic and thermodynamic properties of the generalised diamond chain model for azurite
• Spectral functions and time evolution from the Chebyshev recursion
• Dynamics of the Distorted Diamond Chain
• Frustrated diamond-chain quantum $XXZ$ Heisenberg antiferromagnet in a magnetic field

Cited by in corpus (12)

• Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model
• Exponential Thermal Tensor Network Approach for Quantum Lattice Models
• Stripes, Antiferromagnetism, and the Pseudogap in the Doped Hubbard Model at Finite Temperature
• Symmetry Conserving Purification of Quantum States within the Density Matrix Renormalization Group
• Matrix product purifications for canonical ensembles and quantum number distributions
• Matrix product state techniques for two-dimensional systems at finite temperature
• Symmetric minimally entangled typical thermal states for canonical and grand-canonical ensembles
• Dynamic structure factor of the spin-1/2 XXZ chain in a transverse field
• Dynamical properties of the sine-Gordon quantum spin magnet Cu-PM at zero and finite temperature
• Multi-triplet bound states and finite-temperature dynamics in highly frustrated quantum spin ladders
• Reconstructing Thermal Quantum Quench Dynamics from Pure States
• Sample complexity of matrix product states at finite temperature