Long-range entangled zero-mode state in a non-Hermitian lattice

Abstract

In contrast to a Hermitian system, in which zero modes are usually degenerate and localized edge state in the thermodynamic limit, the zero mode of a finite non-Hermitian system can be a single nontrivial long-range entangled state at the exceptional point (EP). In this work, we demonstrate this feature with a concrete example based on exact solutions. Numerical simulations show that the entangled state can be generated through the dynamic process with a high fidelity.

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• Su-Schrieffer-Heeger chain with one pair of PT-symmetric defects
• Bell-state generation for spin qubits via dissipative coupling
• Symmetry protected topological phases characterized by isolated exceptional points
• $\mathcal{P}\mathcal{T}$ symmetry of the Su-Schrieffer-Heeger model with imaginary boundary potentials and next-nearest-neighboring coupling
• Quantum mold casting for topological insulating and edge states
• Coalescing Majorana edge modes in non-Hermitian PT-symmetric Kitaev chain
• Robust unidirectional phantom helix states in the XXZ Heisenberg model with Dzyaloshinskii-Moriya interaction
• An attractor dynamics in a non-Hermitian two-level system
• Parallel dynamics between non-Hermitian and Hermitian systems
• Coherent confinement and unidirectional dynamics of a wave packet induced by a non-Hermitian Su-Schrieffer-Heeger segment
• A new Berry phase term in parity-time symmetric non-Hermitian spin-1/2 quantum systems
• Floquet topological properties in the Non-Hermitian long-range system with complex hopping amplitudes