Qian Du, Su-Peng Kou
Published 2023-07-26Version 1
In the paper, we study the non-Hermitian system under dissipation in which the energy band shows an imaginary line gap and energy eigenstates are bound to a specific region. To describe these phenomena, we propose the concept of "non-Hermitian tearing", in which the degree of tearing we defined reveals a continuous phase transition at the exceptional point. The non-Hermitian tearing manifests in two forms -- bulk state separation and boundary state decoupling. For a deeper understanding of non-Hermitian tearing, we give the effective 2*2 Hamiltonian in the k-space by reducing the N*N Hamiltonian in the real space. In addition, we also explore the non-Hermitian tearing in the one-dimensional Su-Schrieffer-Heeger model and the Qi-Wu-Zhang model. Our results provide a theoretical approach for studying non-Hermitian tearing in more complex systems.
Classical 'spin' filtering with two degrees of freedom and dissipation
Dissipation and gate timing errors in SWAP operations of qubits
Non-Hermitian Topological Phase Transition of the Bosonic Kitaev Chain
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