Geometry-dependent skin effect and anisotropic Bloch oscillations in a non-Hermitian optical lattice

Abstract

The interplay between the non-Hermiticity and dimensionality gives rise to exotic characteristics in higher dimensions, with one representative phenomenon known as the geometry-dependent skin effect (GDSE), which refers to that the localization of extensive eigenstates depends on the system's geometry under open boundary conditions. In this paper, we demonstrate the emergence of GDSE in a two-dimensional $sp$ optical ladder lattice with on-site atom loss, which can be manifested by anisotropic dynamics of Bloch oscillations in the bulk of the system. By applying a static force in different directions, the wave-packet dynamics retrieve the complex energy spectra with either nonzero or zero spectral winding number, indicating the presence or absence of skin accumulation in the corresponding directions, respectively. Our results reveal that the GDSE has an intrinsic anisotropic bulk dynamics independent of boundary conditions, and offer its realization and detection in quantum systems.

16 pages, 13 figures

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Cited by in corpus (11)

• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Edge theory of non-Hermitian skin modes in higher dimensions
• A brief review of hybrid skin-topological effect
• Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions
• Tailoring Bound State Geometry in High-Dimensional Non-Hermitian Systems
• Non-Hermitian Skin Effect Along Hyperbolic Geodesics
• Non-Bloch Dirac Points and Phase Diagram in the Stacked Non-Hermitian SSH Model
• Topologically compatible non-Hermitian skin effect
• Non-Hermitian skin effect in fragmented Hilbert spaces of one-dimensional fermionic lattices
• Algebraic States in Continuum in $d>1$ Dimensional Non-Hermitian Systems
• Algebraic skin effect in two-dimensional non-Hermitian metamaterials