Real-time correlation functions from imaginary-time evolution

P. E. Kornilovitch

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Real-time correlation functions from imaginary-time evolution

P. E. Kornilovitch

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Abstract

The problem of calculating real-time correlation functions is formulated in terms of an imaginary-time partial differential equation. The latter is solved analytically for the perturbed harmonic oscillator and compared with the known exact result. The first order approximation for the short-time propagator is derived and used for numerical solution of the equation by a Monte Carlo integration. In general, the method provides a reformulation of the dynamic sign problem, and is applicable to any two-time correlation function including single-particle, density-density, current-current, spin-spin, and others. The prospects of extending the technique onto multi-dimensional problems are discussed.

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P. E. Kornilovitch. 2001-06-06. Real-time correlation functions from imaginary-time evolution. https://arxiv.org/abs/cond-mat/0010100

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