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Main Authors: Sun, Yue, Shi, Tao, Hu, Ying
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2502.09092
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author Sun, Yue
Shi, Tao
Hu, Ying
author_facet Sun, Yue
Shi, Tao
Hu, Ying
contents Non-Hermitian topology has revolutionized our understanding of energy gaps and band topology, unveiling phases that do not exist within the Hermitian framework. Nonetheless, its fundamental implications for quantum interactions in open quantum systems remain largely unexplored. Here, we uncover a novel interaction mechanism by examining a quantum-optical system where quantum emitters interact through the photonic band-gap of a dissipative photon bath with periodic boundaries, described by a nonreciprocal Su-Schrieffer-Heeger model. Although localized photons within the gap should inhibit interactions between emitters in certain regimes, we find that long-range interactions emerge, defying conventional expectations. These anomalous interactions are mediated by a ``mirage bath" - a virtual bath that unfolds onto a distinct layer of the Riemann surface. This mirage bath generates emitter dynamics identical to those produced by the physical bath but possesses distinct band topology. Crucially, the interactions inherit the topology of the mirage bath, not the physical one. This bath duality is inherent to any dissipative bath with spectral topology, leading to a fundamentally new mechanism for long-range interactions and correlations across the multi-layered Riemann surface, unseen in traditional settings. Our findings open new avenues in quantum optics, many-body quantum simulations, and offer fresh insights into non-Hermitian topology.
format Preprint
id arxiv_https___arxiv_org_abs_2502_09092
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Anomalous Point-Gap Interactions Unveil the Mirage Bath
Sun, Yue
Shi, Tao
Hu, Ying
Quantum Physics
Non-Hermitian topology has revolutionized our understanding of energy gaps and band topology, unveiling phases that do not exist within the Hermitian framework. Nonetheless, its fundamental implications for quantum interactions in open quantum systems remain largely unexplored. Here, we uncover a novel interaction mechanism by examining a quantum-optical system where quantum emitters interact through the photonic band-gap of a dissipative photon bath with periodic boundaries, described by a nonreciprocal Su-Schrieffer-Heeger model. Although localized photons within the gap should inhibit interactions between emitters in certain regimes, we find that long-range interactions emerge, defying conventional expectations. These anomalous interactions are mediated by a ``mirage bath" - a virtual bath that unfolds onto a distinct layer of the Riemann surface. This mirage bath generates emitter dynamics identical to those produced by the physical bath but possesses distinct band topology. Crucially, the interactions inherit the topology of the mirage bath, not the physical one. This bath duality is inherent to any dissipative bath with spectral topology, leading to a fundamentally new mechanism for long-range interactions and correlations across the multi-layered Riemann surface, unseen in traditional settings. Our findings open new avenues in quantum optics, many-body quantum simulations, and offer fresh insights into non-Hermitian topology.
title Anomalous Point-Gap Interactions Unveil the Mirage Bath
topic Quantum Physics
url https://arxiv.org/abs/2502.09092