Non-Hermitian Skin Effect in Periodically-Driven Dissipative Ultracold Atoms

Abstract

The non-Hermitian skin effect (NHSE), featured by the collapse of bulk-band eigenstates into the localized boundary modes of the systems, is one of most striking properties in the fields of non-Hermitian physics. Unique physical phenomena related to the NHSE have attracted a lot of interest, however, their experimental realizations usually require nonreciprocal hopping, which faces a great challenge in ultracold-atom systems. In this work, we propose to realize the NHSE in a 1D optical lattice by periodically-driven ultracold atoms in the presence of staggered atomic loss. By studying the effective Floquet Hamiltonian in the high-frequency approximation, we reveal the underlying mechanism for the periodic-driving-induced the NHSE. We found that the robust NHSE can be tuned by driving phase, which is manifested by the dynamical localization. Most remarkably, we uncover the periodic-driving-induced critical skin effect for two coupled chains with different driving phases, accompanied by the appearance of size-dependent topological in-gap modes. Our studies provide a feasible way for observing the NHSE and exploring corresponding unique physical phenomena due to the interplay of non-Hermiticity and many-body statistics in ultracold-atom systems.

arXiv comment12 pages, 11 figures

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• Anderson Delocalization in Strongly Coupled Disordered Non-Hermitian Chains
• Localization-Delocalization Transitions in Non-Hermitian Aharonov-Bohm Cages
• Observation of Impurity-Induced Scale-Free Localization in a Disordered Non-Hermitian Electrical Circuit
• Versatile Control of Nonlinear Topological States in Non-Hermitian Systems
• Anomalous pumping in the non-Hermitian Rice-Mele model
• Interaction-Induced Second-Order Skin Effect
• Chiral-Extended Photon-Emitter Dressed States in Non-Hermitian Topological Baths
• Many-body critical non-Hermitian skin effect
• Concurrent Skin-scale-free Localization and Criticality under Möbius Boundary Conditions in a Non-Hermitian Ladder
• Arbitrary Control of Non-Hermitian Skin Modes via Disorder and An Electric Field
• Exploring Nonreciprocal Noise Transfer under Onsager-Casimir Symmetry in Synthetic-Field Optomechanics
• Exceptional flat bands in bipartite non-Hermitian lattices