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Decay of currents for strong interactions.

Robin Steinigeweg¹

¹Institute for Theoretical Physics, Technical University Braunschweig, D-38106 Braunschweig, Germany. r.steinigeweg@tu-bs.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|August 27, 2011

Summary

Strong interactions in quantum systems cause current decay. Perturbation theory accurately describes relaxation near Gaussian decay, with diffusion scaling inversely with interaction strength.

Area of Science:

Quantum mechanics
Condensed matter physics
Statistical mechanics

Background:

Investigating current autocorrelation functions is crucial for understanding quantum transport dynamics.
Strong interactions significantly influence the relaxation and decay of currents in quantum systems.

Purpose of the Study:

To analyze the decay of current autocorrelation functions in quantum systems with strong interactions.
To develop a theoretical description for current relaxation and its dependence on interaction strength.

Main Methods:

Perturbation theory in the lowest orders of interaction strength.
Exact diagonalization numerical methods.
Analysis of one-dimensional transport models.

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Main Results:

Current relaxation before the first zero crossing is well-described by perturbation theory for strong interactions.
Relaxation dynamics approximate Gaussian decay.
The diffusion coefficient scales inversely with interaction strength.

Conclusions:

The study provides a theoretical framework and numerical validation for understanding current decay in strongly interacting quantum systems.
Findings offer insights into transport properties and their dependence on interaction strength.