Exotic localization for the two body bound states in the non-reciprocal Hubbard model

• URL: http://arxiv.org/abs/2409.07883v1
• Date: Thu, 12 Sep 2024 09:43:33 GMT
• Title: Exotic localization for the two body bound states in the non-reciprocal Hubbard model
• Authors: Huan-Yu Wang, Ji Li, Wu-Ming Liu, Lin Wen, Xiao-Fei Zhang,
• Abstract summary: We investigate the localization behavior of two-body Hubbard model in the presence of non-reciprocal tunneling. We present the non-Hermitian bound states obtained with the center of mass methods in the conditions of strong repulsive interaction.
• Score: 9.166422816832855
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate the localization behavior of two-body Hubbard model in the presence of non-reciprocal tunneling, where the interaction induced Anderson localization competes with the non-Hermitian skin effects and gives rise to diverse patterns of density profiles. Here, we present the non-Hermitian bound states obtained with the center of mass methods in the conditions of strong repulsive interaction, where a faded diagonal line localization is observed. While for the continuum limit, the non-Hermitian skin effects are manifested by non-zero windings of the eigen-energy spectrum. For the moderate interaction strength, it is illustrated that the system possesses multiple Lyapunov exponents due to the competence above and as a consequence, in sharp contrast to the corner localization, the two-body non-Hermitian continuum states can exhibit multiple localization center. By further including two-photon tunneling, topological nontrivial photon bound pairs can be obtained. Finally, the experimental simulations are proposed based on the platforms of the electrical circuit lattices.

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