Non-linear Transport by Bethe Bound States

Abstract

We consider non-linear ballistic spin transport in the XXZ spin chain and derive an analytical result for the non-linear Drude weight $D^{(3)}$ at infinite temperatures. In contrast to the linear Drude weight $D^{(1)}$, we find that the result not only depends on anisotropy but also on the string length of the quasiparticles transporting the spin current. Our result provides further insights into transport by quasiparticles and raises questions about Luttinger liquid universality.

Appendices added

References in corpus (11)

• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion
• Far-from-equilibrium spin transport in Heisenberg quantum magnets
• Conservation laws, integrability and transport in one-dimensional quantum systems
• Correlation functions and transport coefficients in generalised hydrodynamics
• Exactly conserved quasilocal operators for the XXZ spin chain
• Return probability after a quench from a domain wall initial state in the spin-1/2 XXZ chain
• The Luttinger liquid and integrable models
• Exact results for nonlinear Drude weights in the spin-1/2 XXZ chain
• Analytical results for the low-temperature Drude weight of the XXZ spin chain
• Fine structure of the nonlinear Drude weights in the spin-1/2 XXZ chain

Cited by in corpus (3)

• Persistent currents in ultracold gases
• Drude weights in one-dimensional systems with a single defect
• Quantum transport in 1D Hubbard model: Drude weights and Seebeck effect