A non-Hermitian optical atomic mirror

Abstract

Explorations of symmetry and topology have led to important breakthroughs in quantum optics, but much richer behaviors arise from the non-Hermitian nature of light-matter interactions. A high-reflectivity, non-Hermitian optical mirror can be realized by a two-dimensional subwavelength array of neutral atoms near the cooperative resonance associated with the collective dipole modes. Here we show that exceptional points develop from a nondefective degeneracy by lowering the crystal symmetry of a square atomic lattice, and dispersive bulk Fermi arcs that originate from exceptional points are truncated by the light cone. We also find, although the dipole-dipole interaction is reciprocal, the geometry-dependent non-Hermitian skin effect emerges. Furthermore, skin modes localized at a boundary show a scale-free behavior that stems from the long-range interaction and whose mechanism goes beyond the framework of non-Bloch band theory. Our work opens the door to the study of the interplay among non-Hermiticity, topology, and long-range interaction.

8 + 20 pages, 4 + 7 figures

References in corpus (10)

• Topological Photonics
• Topological Origin of Non-Hermitian Skin Effects
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Universal non-Hermitian skin effect in two and higher dimensions
• Cooperative resonances in light scattering from two-dimensional atomic arrays
• Photonic Band Structure of Two-dimensional Atomic Lattices
• Light propagation in systems involving two-dimensional atomic lattices
• Parity-time symmetry and coherent perfect absorption in a cooperative atom response
• Scaling rule in critical non-Hermitian skin effect

Cited by in corpus (28)

• Observation of exceptional points and skin effect correspondence in non-Hermitian phononic crystals
• Non-Hermitian Many-Body Localization with Open Boundaries
• Dynamical Degeneracy Splitting and Directional Invisibility in Non-Hermitian Systems
• General properties of fidelity in non-Hermitian quantum systems with PT symmetry
• Non-Hermitian skin effects on many-body localized and thermal phases
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• A brief review of hybrid skin-topological effect
• Edge theory of non-Hermitian skin modes in higher dimensions
• Geometry-dependent skin effect and anisotropic Bloch oscillations in a non-Hermitian optical lattice
• Algebraic non-Hermitian skin effect and generalized Fermi surface formula in arbitrary dimensions
• Scaling laws for non-Hermitian skin effect with long-range couplings
• From Ergodicity to Many-Body Localization in a One-Dimensional Interacting Non-Hermitian Stark System
• Universal spectral moment theorem and its applications in non-Hermitian systems
• Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms
• Entanglement Hamiltonian and effective temperature of non-Hermitian quantum spin ladders
• Tailoring Bound State Geometry in High-Dimensional Non-Hermitian Systems
• Enhanced dark-state sideband cooling in trapped atoms via photon-mediated dipole-dipole interactions
• Non-Bloch Dirac Points and Phase Diagram in the Stacked Non-Hermitian SSH Model
• Chiral-coupling-assisted refrigeration in trapped ions
• Non-Hermitian off-diagonal disordered optical lattices
• Topological Operations Around Exceptional Points via Shortcuts to Adiabaticity
• Spatial averaging for light reflection and transmission through cold atom arrays
• Controllable suppression of Non-Hermitian skin effects
• High-fidelity multipartite entanglement creation in non-Hermitian qubits
• Adiabatic charge transport through non-Bloch bands
• Robustness of tripartite entangled states in passive PT-symmetric qubits
• Scaling of Quantum Geometry Near the Non-Hermitian Topological Phase Transitions
• Algebraic States in Continuum in $d>1$ Dimensional Non-Hermitian Systems