Giant Emitters in a Structured Bath with Non-Hermitian Skin Effect

Abstract

Giant emitters derive their name from nonlocal field-emitter interactions and feature diverse self-interference effects. Most of the existing works on giant emitters have considered Hermitian waveguides or photonic lattices. In this work, we unveil how giant emitters behave if they are coupled to a non-Hermitian bath, i.e., a Hatano-Nelson (HN) model which features a non-Hermitian skin effect due to the asymmetric inter-site tunneling rates. We show that the behaviors of the giant emitters are closely related to the stability of the bath. In the convectively unstable regime, where the HN model can be mapped to a pseudo-Hermitian lattice, a giant emitter can either behave as in a Hermitian bath or undergo excitation amplification, depending on the relative strength of different emitter-bath coupling paths. Based on this mechanism, we can realize protected nonreciprocal interactions between giant emitters, with nonreciprocity opposite to that of the bath. Such giant-emitter effects are not allowed, however, if the HN model enters the absolutely unstable regime, where the coupled emitters always show secular energy growth. Our proposal provides a new paradigm of non-Hermitian quantum optics, which may be useful for, e.g., engineering effective interactions between quantum emitters and performing many-body simulations in the non-Hermitian framework.

13 pages, 7 figures

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• Simulating open quantum systems with giant atoms
• Dressed Interference in Giant Superatoms: Entanglement Generation and Transfer
• Waveguide QED with dissipative light-matter couplings
• Chiral-Extended Photon-Emitter Dressed States in Non-Hermitian Topological Baths
• Phase Transitions and Virtual Exceptional Points in Quantum Emitters Coupled to Dissipative Baths
• Unconventional and robust light-matter interactions based on the non-Hermitian skin effect
• Topological, multi-mode amplification induced by non-reciprocal, long-range dissipative couplings
• Giant atom with disorders: Effects from imperfect couplings
• Scalable quantum simulator with an extended gate set in giant atoms
• Giant atoms coupled to waveguide: Continuous coupling and multiple excitations
• Exact dynamics and bound states of a cavity coupled to a two-dimensional reservoir
• Non-Markovian exceptional points in waveguide quantum electrodynamics