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arXiv · 2112.15342

Simulating Lindbladian evolution with non-abelian symmetries: Ballistic front propagation in the $SU(2)$ Hubbard model with a localized loss

Cătălin Paşcu Moca·Miklós Antal Werner·Örs Legeza·Tomaž Prosen·Márton Kormos·Gergely Zaránd
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Abstract

We develop a non-Abelian time evolving block decimation (NA-TEBD) approach to study of open systems governed by Lindbladian time evolution, while exploiting an arbitrary number of abelian or non-abelian symmetries. We illustrate this method in a one-dimensional fermionic $SU(2)$ Hubbard model on a semi-infinite lattice with localized particle loss at one end. We observe a ballistic front propagation with strongly renormalized front velocity, and a hydrodynamic current density profile. For large loss rates, a suppression of the particle current is observed, as a result of the quantum Zeno effect. Operator entanglement is found to propagate faster than the depletion profile, preceding the latter.

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Cătălin Paşcu Moca, Miklós Antal Werner, Örs Legeza, Tomaž Prosen, Márton Kormos, Gergely Zaránd. 2021-12-31. Simulating Lindbladian evolution with non-abelian symmetries: Ballistic front propagation in the $SU(2)$ Hubbard model with a localized loss. https://doi.org/10.1103/physrevb.105.195144

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