Non-Hermitian interferometer: Unidirectional amplification without distortion

Abstract

A non-Hermitian interferometer can realize asymmetric transmission in the presence of imaginary potential and magnetic flux. Here, we propose a non-Hermitian dimer with an unequal hopping rate by an interferometer-like cluster in the framework of tight-binding model. The intriguing features of this design are the wave-vector independence and unidirectionality of scattering, which amplifies wavepacket without distortion and absorbs incoherent wave without reflection. The absorption relates to the system spectral singularities, the dynamical behaviors of the spectral singularities are also investigated analytically and numerically.

9 pages, 6 figures

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• Dynamical quantum phase transitions in non-Hermitian lattices
• Nonreciprocal and chiral single-photon scattering for giant atoms
• Hybrid exceptional point created from type III Dirac point
• Symmetry-Protected Scattering in Non-Hermitian Linear Systems
• Stochastic non-Hermitian skin effect
• $\eta$-pairing ground states in the non-Hermitian Hubbard model
• Loschmidt echo and fidelity decay near an exceptional point
• $\mathcal{P}\mathcal{T}$ symmetric phase transition and single-photon transmission in an optical trimmer system
• Exceptional point induced lasing dynamics in a non-Hermitian system
• Unitary Scattering Protected by Pseudo-Hermiticity
• Work statistics in non-Hermitian evolutions with Hermitian endpoints
• Helical resonant transport and purified amplification at an exceptional point
• An attractor dynamics in a non-Hermitian two-level system
• Semi-localization transition driven by a single asymmetrical tunneling
• Coherent confinement and unidirectional dynamics of a wave packet induced by a non-Hermitian Su-Schrieffer-Heeger segment
• Non-Hermitian Aharonov-Bohm Cage
• Nonreciprocal frequency conversion with chiral $\Lambda$-type atoms