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Time dependence of quantum correlation functions.

Ubaldo Bafile1, Martin Neumann2, Daniele Colognesi1

  • 1Consiglio Nazionale delle Ricerche, Istituto di Fisica Applicata "Nello Carrara", via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy.

Physical Review. E
|June 25, 2020
PubMed
Summary
This summary is machine-generated.

We present a method to analyze quantum system dynamics using time autocorrelation functions. This approach reveals relaxation channels and provides a full time-dependent correlation function, including temperature effects.

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Area of Science:

  • Quantum mechanics
  • Statistical physics
  • Condensed matter physics

Background:

  • Exponential expansion analysis of time autocorrelation functions offers insights into atomic-scale dynamics.
  • Relaxation channels govern the decay of fundamental correlation functions over time.

Purpose of the Study:

  • To determine the full time dependence of a correlation function c(t) in a quantum system at nonzero temperature.
  • To relate c(t) to its Kubo transform c_K(t), which is amenable to quantum simulation.

Main Methods:

  • Applying exponential expansion analysis to time autocorrelation functions.
  • Deriving an exact expression for c(t) based on the exponential modes of c_K(t).

Main Results:

  • An exact expression for c(t) is obtained in terms of the exponential modes of c_K(t).
  • Decay constants and frequencies of dominant modes in c(t) match those of c_K(t).
  • An additional temperature-dependent decay term is identified in the quantum system dynamics.

Conclusions:

  • The method provides a detailed study of the relative importance of various modes in c(t).
  • This work extends previous findings on the velocity autocorrelation function and quantum mean kinetic energy.
  • The temperature-dependent term highlights a unique aspect of quantum system dynamics at nonzero temperatures.