We suggest a simple method to engineer a tight-binding quantum network based on proper coupling to an auxiliary non-Hermitian cluster. In particular, it is shown that effective complex non-Hermitian hopping rates can be realized with only complex onsite energies in the network. Three applications of the Hamiltonian engineering method are presented: the synthesis of a nearly transparent defect in an Hermitian linear lattice; the realization of the Fano-Anderson model with complex coupling; and the synthesis of a PT-symmetric tight-binding lattice with a bound state in the continuum.

Non-Hermitian tight-binding network engineering

LONGHI, STEFANO
2016-01-01

Abstract

We suggest a simple method to engineer a tight-binding quantum network based on proper coupling to an auxiliary non-Hermitian cluster. In particular, it is shown that effective complex non-Hermitian hopping rates can be realized with only complex onsite energies in the network. Three applications of the Hamiltonian engineering method are presented: the synthesis of a nearly transparent defect in an Hermitian linear lattice; the realization of the Fano-Anderson model with complex coupling; and the synthesis of a PT-symmetric tight-binding lattice with a bound state in the continuum.
Atomic and Molecular Physics, and Optics
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/995224
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