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arXiv · 1703.08233

Spin-helix states in the $XXZ$ spin chain with strong dissipation

Vladislav Popkov·Johannes Schmidt·Carlo Presilla
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Abstract

We investigate the nonequilibrium steady state (NESS) in an open quantum XXZ chain with strong $XY$ plane boundary polarization gradient. Using the general theory developed in [1], we show that in the critical $XXZ$ $|Δ|<1$ easy plane case, the steady current in large systems under strong driving shows resonance-like behaviour, by an infinitesimal change of the spin chain anisotropy or other parameters. Alternatively, by fine tuning the system parameters and varying the boundary dissipation strength, we observe a change of the NESS current from diffusive (of order $1/N$, for small dissipation strength) to ballistic regime (of order 1, for large dissipation strength). This drastic change results from an accompanying structural change of the NESS, which becomes a pure spin-helix state characterized by a winding number which is proportional to the system size. We calculate the critical dissipation strength needed to observe this surprising effect.

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Vladislav Popkov, Johannes Schmidt, Carlo Presilla. 2017-09-26. Spin-helix states in the $XXZ$ spin chain with strong dissipation. https://doi.org/10.1088/1751-8121%2Faa86cb

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