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Updated: May 10, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

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Published on: April 8, 2020

Burnett coefficients in quantum many-body systems.

R Steinigeweg¹, T Prosen

¹Institute for Theoretical Physics, Technical University Braunschweig, D-38106 Braunschweig, Germany.

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

|June 18, 2013

Summary

This study reveals distinct transport behaviors in quantum many-body systems. Nonintegrable chains show linear growth of the Burnett coefficient, while integrable chains exhibit cubic growth.

Area of Science:

Condensed Matter Physics
Quantum Many-Body Systems
Transport Phenomena

Background:

Understanding transport properties is crucial for characterizing quantum many-body systems.
The Burnett coefficient (B) provides insights into transport dynamics.

Purpose of the Study:

Investigate the Burnett coefficient (B) in one-dimensional quantum many-body systems.
Differentiate transport behavior between integrable and nonintegrable systems.

Main Methods:

Extensive numerical computations were performed on spin-1/2 chains.
Analysis included noninteracting quantum chains and the classical limit of large-spin chains.

Main Results:

Nonintegrable chains with diffusive transport show linear growth: B(t) ~ t.

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Integrable chains in the metallic regime exhibit cubic growth: B(t) ~ -D(m)^2 * t^3.

The proportionality constant for integrable chains is the square of the Drude weight (D(m)).

Conclusions:

Distinct temporal scaling of the Burnett coefficient is observed in different quantum many-body systems.
The findings highlight the importance of integrability and interactions in determining transport characteristics.
Results are consistent across various models, including noninteracting and classical limits.