Spectral functions in one-dimensional quantum systems at T>0

Abstract

We present for the first time time-dependent density-matrix renormalization-group simulations (t-DMRG) at finite temperatures. It is demonstrated how a combination of finite-temperature t-DMRG and time-series prediction allows for an easy and very accurate calculation of spectral functions in one-dimensional quantum systems, irrespective of their statistics, for arbitrary temperatures. This is illustrated with spin structure factors of XX and XXX spin-1/2 chains. For the XX model we can compare against an exact solution and for the XXX model (Heisenberg antiferromagnet) against a Bethe Ansatz solution and quantum Monte Carlo data.

6 pages, 8 figures; added comparison to quantum Monte Carlo, extended discussion of the method, 4 figures added; published version

References in corpus (20)

• The density-matrix renormalization group
• Efficient simulation of one-dimensional quantum many-body systems
• Real time evolution using the density matrix renormalization group
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Finite Temperature Density Matrix Renormalization using an enlarged Hilbert space
• Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
• Two-spinon dynamic structure factor of the one-dimensional S=1/2 Heisenberg antiferromagnet
• Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime
• Thermodynamics of the anisotropic Heisenberg chain calculated by the density matrix renormalization group method
• Extended quantum critical phase in a magnetized spin-1/2 antiferromagnetic chain
• Exact edge singularities and dynamical correlations in spin-1/2 chains
• The 4-spinon dynamical structure factor of the Heisenberg chain
• Spinons in the strongly correlated copper oxide chains in SrCuO2
• Exact two-spinon dynamical correlation function of the Heisenberg model
• Real-time dynamics at finite temperature by DMRG: A path-integral approach
• Gaussian, exponential, and power-law decay of time-dependent correlation functions in quantum spin chains
• Spin diffusion and the anisotropic spin-1/2 Heisenberg chain
• Spin-Dynamics of the antiferromagnetic S=1/2-Chain at finite magnetic Fields and intermediate Temperatures
• Low-temperature density matrix renormalization group using regulated polynomial expansion

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