Anomalous Behaviors of Quantum Emitters in Non-Hermitian Baths

Abstract

Both non-Hermitian systems and the behaviour of emitters coupled to structured baths have been studied intensely in recent years. Here we study the interplay of these paradigmatic settings. In a series of examples, we show that a single quantum emitter coupled to a non-Hermitian bath displays a number of unconventional behaviours, many without Hermitian counterpart. We first consider a unidirectional hopping lattice whose complex dispersion forms a loop. We identify peculiar bound states inside the loop as a manifestation of the non-Hermitian skin effect. In the same setting, emitted photons may display spatial amplification markedly distinct from free propagation, which can be understood with the help of the generalized Brillouin zone. We then consider a nearest-neighbor lattice with alternating loss. We find that the long-time emitter decay always follows a power law, which is usually invisible for Hermitian baths. Our work points toward a rich landscape of anomalous quantum emitter dynamics induced by non-Hermitian baths.

5 pages, 3 figures. Revised version. Part of a *joint submission*. Please see also the companion full paper entitled "Bound states and photon emission in non-Hermitian nanophotonics" arXiv:2205.05490

References in corpus (13)

• The physics of exceptional points
• Topological Origin of Non-Hermitian Skin Effects
• Quantum trajectories and open many-body quantum systems
• Nonreciprocal Photon Transmission and Amplification via Reservoir Engineering
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
• Symmetry and Higher-Order Exceptional Points
• Symmetry-protected multifold exceptional points and their topological characterization
• Non-exponential decay via tunneling in tight-binding lattices and the optical Zeno effect
• Realizing exceptional points of any order in the presence of symmetry
• Exotic interactions mediated by a non-Hermitian photonic bath
• Boundary Condition Independence of Non-Hermitian Hamiltonian Dynamics
• Bound states and photon emission in non-Hermitian nanophotonics

Cited by in corpus (28)

• Topological Non-Hermitian skin effect
• Topological Quantum Batteries
• Exceptional Non-Abelian Topology in Multiband Non-Hermitian Systems
• Hermitian and Non-Hermitian Topology from Photon-Mediated Interactions
• Bound states and photon emission in non-Hermitian nanophotonics
• Giant Emitters in a Structured Bath with Non-Hermitian Skin Effect
• Topological Effects in Two-Dimensional Quantum Emitter Systems
• Fractional Quantum Zeno Effect Emerging from Non-Hermitian Physics
• Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions
• Quantum Metric Unveils Defect Freezing in Non-Hermitian Systems
• Infernal and Exceptional Edge Modes: Non-Hermitian Topology Beyond the Skin Effect
• Point-Gap Bound States in Non-Hermitian Systems
• Simulating open quantum systems with giant atoms
• Topologically protected subradiant cavity polaritons through linewidth narrowing enabled by dissipationless edge states
• Waveguide QED with dissipative light-matter couplings
• Unconventional and robust light-matter interactions based on the non-Hermitian skin effect
• Chiral-Extended Photon-Emitter Dressed States in Non-Hermitian Topological Baths
• Phase Transitions and Virtual Exceptional Points in Quantum Emitters Coupled to Dissipative Baths
• Exotic quantum light-matter interactions in bilayer square lattices
• Non-Hermitian ultra-strong bosonic clustering through interaction-induced caging
• Topological, multi-mode amplification induced by non-reciprocal, long-range dissipative couplings
• Alternating quantum-emitter chains: Exceptional-point phase transition, edge state, and quantum walks
• Quantum Sensing with Topological-Paired Bound States
• Scattering States in One-Dimensional Non-Hermitian Baths
• Interferometric Geometric Phases of $\mathcal{P}\mathcal{T}$-symmetric Quantum Mechanics
• Anomalous Point-Gap Interactions Unveil the Mirage Bath
• Arbitrary Control of Non-Hermitian Skin Modes via Disorder and An Electric Field
• Exotic collective behaviors of giant quantum emitters in two-dimensional baths