Dissipative cooling towards phantom Bethe states in boundary driven XXZ spin chain

TL;DR

This paper introduces a dissipative approach to access phantom Bethe-states in boundary driven XXZ spin chains by coupling edge spins to magnetic baths, revealing states with unique topological and transport properties.

Contribution

The paper presents a novel dissipative method to realize phantom Bethe-states in boundary driven XXZ spin chains, enabling exploration of their topological and transport features.

Findings

Depopulation of non-chiral components with increasing dissipation

PBS exhibit strong chirality and nontrivial topology

High spin currents are carried by PBS

Abstract

A dissipative method that allows to access family of phantom Bethe-states (PBS) of boundary driven XXZ spin chains, is introduced. The method consists in coupling the ends of the open spin chain to suitable dissipative magnetic baths to force the edge spins to satisfy specific boundary conditions necessary for the PBS existence. Cumulative monotonous depopulation of the non-chiral components of the density matrix with growing dissipation amplitude is analogous to the depopulation of high-energy states in response to thermal cooling. Compared to generic states, PBS have strong chirality, nontrivial topology and carry high spin currents.