Quantum hydrodynamics of spin winding

@article{Tserkovnyak2020QuantumHO,
  title={Quantum hydrodynamics of spin winding},
  author={Yaroslav Tserkovnyak and J. Zou and Se Kwon Kim and So Takei},
  journal={Physical Review B},
  year={2020}
}
An easy-plane spin winding in a quantum spin chain can be treated as a transport quantity, which propagates along the chain but has a finite lifetime due to phase slips. In a hydrodynamic formulation for the winding dynamics, the quantum continuity equation acquires a source term due to the transverse vorticity flow. The latter reflects the phase slips and generally compromises the global conservation law. A linear-response formalism for the nonlocal winding transport then reduces to a Kubo… 

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