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

C\u{a}t\u{a}lin Pa\c{s}cu Moca; Gergely Zar\'and; M\'arton Kormos; Mikl\'os Antal Werner; \"Ors Legeza; Toma\v{z} Prosen

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

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arxiv 2112.15342 v1 pith:CGUBGKZO submitted 2021-12-31 cond-mat.str-el

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

C\u{a}t\u{a}lin Pa\c{s}cu Moca , Mikl\'os Antal Werner , \"Ors Legeza , Toma\v{z} Prosen , M\'arton Kormos , Gergely Zar\'and This is my paper

classification cond-mat.str-el

keywords frontlossnon-abelianballisticcurrentevolutionhubbardlindbladian

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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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