Non-reciprocal dynamics and the non-Hermitian skin effect of repulsively bound pairs

Abstract

We study the dynamics of a Bose-Hubbard model coupled to an engineered environment which in the non-interacting limit is described by the celebrated Hatano-Nelson model. At strong interactions, two bosons occupying the same site form a so-called repulsively bound pair, or doublon. Using tensor-network simulations, we clearly identify a distinct doublon lightcone and show that the doublon inherits non-reciprocity from that of single particles. Applying the idea of reservoir engineering at the level of doublons, we introduce a new set of dissipators and we analytically show that then the doublon dynamics are governed by the Hatano-Nelson model. This brings about an interaction-induced non-Hermitian skin effect and non-reciprocal doublon motion. Combining features of the two models we study, we show that single particles and doublons can be made to spread with opposite directionality, opening intriguing possibilities for the study of dynamics in interacting non-reciprocal models.

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• Chiral Dissociation of Bound Photon Pairs for a Non-Hermitian Skin Effect
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• Multifractal statistics of non-Hermitian skin effect on the Cayley tree
• Anatomy of Higher-Order Non-Hermitian Skin and Boundary Modes
• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices
• Interplay of non-Hermitian skin effect and electronic correlations in the non-Hermitian Hubbard model via Real-space dynamical mean field theory
• Topological bound states in a lattice of rings with nearest-neighbour interactions
• Dissipative Generation of Currents by Nonreciprocal Local and Global Environments
• Nonreciprocal Blume-Capel Model with Antisymmetric Single-Ion Anisotropies