Real-time dynamics at finite temperature by DMRG: A path-integral approach

Abstract

We propose a path-integral variant of the DMRG method to calculate real-time correlation functions at arbitrary finite temperatures. To illustrate the method we study the longitudinal autocorrelation function of the $XXZ$-chain. By comparison with exact results at the free fermion point we show that our method yields accurate results up to a limiting time which is determined by the spectrum of the reduced density matrix.

5 pages, 4 figures

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• Dynamics of pair correlations in the attractive Lieb-Liniger gas
• Entanglement entropy of disordered quantum chains following a global quench
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• Spin diffusion and the anisotropic spin-1/2 Heisenberg chain
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• Accurate computation of low-temperature thermodynamics for quantum spin chains
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• Anisotropic magnetic interactions and spin dynamics in the spin-chain compound Cu(py)${}_2$Br${}_2$: An experimental and theoretical study
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