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Non-Hermitian Kondo effect in ultracold alkaline-earth atoms

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arxiv 1806.04039 v2 pith:7PG6YIIW submitted 2018-06-11 cond-mat.quant-gas cond-mat.str-elquant-ph

Masaya Nakagawa , Norio Kawakami , Masahito Ueda This is my paper · ORCID
classification cond-mat.quant-gascond-mat.str-elquant-ph
keywords kondonon-hermitianalkaline-earthatomseffectnon-hermiticityquantumrenormalization-group
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We investigate the Kondo effect in an open quantum system, motivated by recent experiments with ultracold alkaline-earth(-like) atoms. Because of inelastic collisions and the associated atom losses, this system is described by a complex-valued Kondo interaction and provides a non-Hermitian extension of the Kondo problem. We show that the non-Hermiticity induces anomalous reversion of renormalization-group flows which violate the $g$-theorem due to non-unitarity and produce a quantum phase transition unique to non-Hermiticity. Furthermore, we exactly solve the non-Hermitian Kondo Hamiltonian using a generalized Bethe ansatz method and find the critical line consistent with the renormalization-group flow.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Breakdown of Monotonic Impurity Entropy Flow in $\mathscr{PT}$-Symmetric Multichannel Kondo Systems

    cond-mat.str-el 2026-08 conditional novelty 7.0 of 10

    In a PT-symmetric multichannel Kondo model, exact Bethe ansatz calculations show impurity entropy becomes nonmonotonic in the zero-mode and local-moment phases, breaking generalized g-theorem irreversibility.

  2. Monotonic Impurity Entropy beyond Unitarity: the $\mathscr{PT}-$Symmetric Quantum Impurity Model

    cond-mat.str-el 2026-06 unverdicted novelty 7.0 of 10

    In a PT-symmetric Kondo impurity model the impurity entropy flows monotonically from ln4 (UV) to 0 (IR) even though the boundary interaction is non-unitary.

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