Non-Hermitian description of the dynamics of inter-chain pair tunnelling

Abstract

We study inter-chain pair tunnelling dynamics based on an exact two-particle solution for a two-leg ladder. We show that the Hermitian Hamiltonian shares a common two-particle eigenstate with a corresponding non-Hermitian Hubbard Hamiltonian in which the non-Hermiticity arises from an on-site interaction of imaginary strength. Our results provides that the dynamic processes of two-particle collision and across-legs tunnelling are well described by the effective non-Hermitian Hubbard Hamiltonian based on the eigenstate equivalence. We also find that any common eigenstate is always associated with the emergence of spectral singularity in the non-Hermitian Hubbard model. This result is valid for both Bose and Fermi systems and provides a clear physical implication of the non-Hermitian Hubbard model.

arXiv comment10 pages, 4 figures

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Cited by in corpus (5)

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• $\eta$-pairing ground states in the non-Hermitian Hubbard model
• Two-dimensional anisotropic non-Hermitian Lieb lattice
• Spectrum and normal modes of non-hermitian quadratic boson operators
• Localization of Rung Pairs in Hard-core Bose-Hubbard Ladder