Symmetric non-Hermitian skin effect with emergent nonlocal correspondence

Abstract

The non-Hermitian skin effect (NHSE) refers to that an extensive number of eigenstates of a non-Hermitian system are localized in open boundaries. Here we predict a universal phenomenon that with local particle-hole(-like) symmetry (PHS) the skin modes must be equally distributed on different boundaries, manifesting a novel nonlocalization of the local PHS, which is unique to non-Hermitian systems. We develop a generic theory for the emergent nonlocal symmetry-protected NHSE by connecting the non-Hermitian system to an extended Hermitian Hamiltonian in a quadruplicate Hilbert space, which maps the skin modes to the topological zero modes and the PHS to an emergent nonlocal symmetry in the perspective of many body physics. The predicted NHSE is robust against perturbations. We propose optical Raman lattice models to observe the predicted phenomena in all physical dimensions, which are accessible with cold-atom experiments.

5+9 pages, 3+4 figures

References in corpus (10)

• Making Sense of Non-Hermitian Hamiltonians
• Topological Origin of Non-Hermitian Skin Effects
• Universal non-Hermitian skin effect in two and higher dimensions
• Non-Hermitian topological phenomena: A review
• Manipulating Topological Edge Spins in One-Dimensional Optical Lattice
• Quantum anomaly, non-Hermitian skin effects, and entanglement entropy in open systems
• Exceptional Bound States and negative Entanglement Entropy
• Topological quantum state control through exceptional-point proximity
• Interaction induced bi-skin effect in an exciton-polariton system
• Higher-order topological phases emerging from the Su-Schrieffer-Heeger stacking

Cited by in corpus (10)

• Two-dimensional non-Hermitian skin effect in an ultracold Fermi gas
• Edge theory of non-Hermitian skin modes in higher dimensions
• Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions
• Constraints of internal symmetry on the non-Hermitian skin effect and bidirectional skin effect under the action of the Hermitian conjugate of time-reversal symmetry
• Anomalous second-order skin modes in Floquet non-Hermitian systems
• General theory for infernal points in non-Hermitian systems
• Non-Bloch Dirac Points and Phase Diagram in the Stacked Non-Hermitian SSH Model
• Parsing skin effect in a non-Hermitian spinless BHZ-like model
• Measuring Non-Hermitian Topological Invariants Directly from Quench Dynamics
• Theory for the spectral splitting exponent of exceptional points