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Nonlinear Transport by Bethe Bound States.

Andrew Urichuk^1,2, Andreas Klümper², Jesko Sirker¹

¹Department of Physics and Astronomy and Manitoba Quantum Institute, University of Manitoba, Winnipeg R3T 2N2, Canada.

Physical Review Letters

|September 9, 2022

Summary

This summary is machine-generated.

We derived an analytical result for nonlinear spin transport in the XXZ spin chain at infinite temperatures. The nonlinear Drude weight depends on anisotropy and quasiparticle string length, challenging universality theories.

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Area of Science:

Condensed Matter Physics
Quantum Many-Body Systems
Spin Transport Phenomena

Background:

The XXZ spin chain is a fundamental model in condensed matter physics.
Understanding spin transport is crucial for developing quantum technologies.
Previous studies focused primarily on linear transport properties.

Purpose of the Study:

To derive an analytical result for nonlinear ballistic spin transport.
To investigate the temperature and anisotropy dependence of spin transport.
To explore the role of quasiparticles in spin current dynamics.

Main Methods:

Analytical derivation of the nonlinear Drude weight D^{(3)}.
Analysis of spin transport in the XXZ spin chain model.
Consideration of infinite temperature and quasiparticle properties.

Main Results:

An analytical result for the nonlinear Drude weight D^{(3)} at infinite temperatures was obtained.
The nonlinear Drude weight depends on both anisotropy and quasiparticle string length.
This contrasts with the linear Drude weight D^{(1)} which lacks string length dependence.

Conclusions:

The findings offer new insights into quasiparticle-driven transport mechanisms.
The dependence on string length challenges established theories of Luttinger liquid universality.
This work opens new avenues for studying nonlinear transport in quantum systems.