Matrix product state formulation of frequency-space dynamics at finite temperatures

Abstract

We present a flexible density-matrix renormalization group approach to calculate finite-temperature spectral functions of one-dimensional strongly correlated quantum systems. The method combines the purification of the finite-temperature density operator with a moment expansion of the Green's function. Using this approach, we study finite-temperature properties of dynamical spectral functions of spin-1/2 XXZ chains with Dzyaloshinskii-Moriya interactions in magnetic fields and analyze the effect of these symmetry breaking interactions on the nature of the finite-temperature dynamic spin structure factor.

5 pages (3 figures) + 2 pages supplemental material; v3: final version

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Cited by in corpus (33)

• Finite-temperature transport in one-dimensional quantum lattice models
• Quantum dynamics of thermalizing systems
• Chebyshev Matrix Product State Impurity Solver for the Dynamical Mean-Field Theory
• Spectral Functions with the Density Matrix Renormalization Group: Krylov-space Approach for Correction Vectors
• Stripes, Antiferromagnetism, and the Pseudogap in the Doped Hubbard Model at Finite Temperature
• Series-Expansion Thermal Tensor Network Approach for Quantum Lattice Models
• Finite-temperature density-matrix renormalization group method for electron-phonon systems: Thermodynamics and Holstein-polaron spectral functions
• Minimally entangled typical thermal states versus matrix product purifications for the simulation of equilibrium states and time evolution
• Symmetry Conserving Purification of Quantum States within the Density Matrix Renormalization Group
• Dynamical properties of the $S=\frac{1}{2}$ random Heisenberg chain
• Chebyshev matrix product state approach for time evolution
• Quadrupolar magnetic excitations in an isotropic spin-1 antiferromagnet
• Matrix product purifications for canonical ensembles and quantum number distributions
• Accuracy of the microcanonical Lanczos method to compute real-frequency dynamical spectral functions of quantum models at finite temperatures
• Finite-Temperature Dynamics and Thermal Intraband Magnon Scattering in Haldane Spin-One Chains
• Temperature dependence of the NMR spin-lattice relaxation rate for spin-1/2 chains
• One-dimensional quantum systems at finite temperatures can be simulated efficiently on classical computers
• Magnetic excitations in the S = 1/2 antiferromagnetic-ferromagnetic chain compound BaCu2V2O8 at zero and finite temperature
• Dynamic structure factor of the spin-1/2 XXZ chain in a transverse field
• Symmetric Minimally Entangled Typical Thermal States
• Dynamical properties of the sine-Gordon quantum spin magnet Cu-PM at zero and finite temperature
• Finite-temperature properties of interacting bosons on a two-leg flux ladder
• Multi-triplet bound states and finite-temperature dynamics in highly frustrated quantum spin ladders
• Accuracy of the typicality approach using Chebyshev polynomials
• Density-matrix renormalization group method for the conductance of one-dimensional correlated systems using the Kubo formula
• Time-dependent correlations in quantum magnets at finite temperature
• Low temperature thermodynamics of multi-flavored hardcore bosons by the Brückner approach
• Cooling schemes for two-component fermions in layered optical lattices
• Matrix-product-state-based band-Lanczos solver for quantum cluster approaches
• Effects of Interactions on Dynamic Correlations of Hard-Core Bosons at Finite Temperatures
• Spectroscopy and complex-time correlations using minimally entangled typical thermal states
• Thermal DMRG for highly frustrated quantum spin chains: a user perspective
• Locally accurate tensor networks for thermal states and time evolution