Purely Long-Range Coherent Interactions in Two-Dimensional Structured Baths

Abstract

In this work we study the quantum dynamics emerging when quantum emitters exchange excitations with a two-dimensional bosonic bath with hexagonal symmetry. We show that a single quantum emitter spectrally tuned to the middle of the band relaxes following a logarithmic law in time due to the existence of a singular point with vanishing density of states, i.e., the Dirac point. Moreover, when several emitters are coupled to the bath at that frequency, long-range coherent interactions between them appear which decay inversely proportional to their distance without exponential attenuation. We analyze both the finite and infinite system situation using both perturbative and non-perturbative methods.

18 pages, 7 figures. Text restructured. Extended discussion on experimental considerations

References in corpus (20)

• The electronic properties of graphene
• Many-Body Physics with Ultracold Gases
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Cold atoms in cavity-generated dynamical optical potentials
• Single-Photon Switching and Entanglement of Solid-State Qubits in an Integrated Nanophotonic System
• Single-Spin Addressing in an Atomic Mott Insulator
• Disorder Induced Localized States in Graphene
• Entanglement of two qubits mediated by one-dimensional plasmonic waveguides
• Photon-mediated interactions between distant artificial atoms
• Subwavelength vacuum lattices and atom-atom interactions in photonic crystals
• Quantum computing with alkaline earth atoms
• Entanglement entropy for the long range Ising chain
• Controlled coupling of a single nitrogen-vacancy center to a silver nanowire
• Super-radiance reveals infinite-range dipole interactions through a nanofiber
• Kitaev chains with long-range pairing
• Markovian and Non-Markovian Dynamics of Quantum Emitters coupled to Two-dimensional Structured Reservoirs
• Quantum Emitters in Two-dimensional Structured Reservoirs in the Non-Perturbative Regime
• Diverging equilibration times in long-range quantum spin models
• Resonant low-energy electron scattering on short-range impurities in graphene
• Generation and detection of a sub-Poissonian atom number distribution in a one-dimensional optical lattice

Cited by in corpus (44)

• Oscillating bound states for a giant atom
• Engineering and harnessing giant atoms in high-dimensional baths: a cold atoms' implementation
• Cold atoms in twisted bilayer optical potentials
• Vacancy-like dressed states in topological waveguide QED
• Two-Dimensional Photonic Crystals for Engineering Atom-Light Interactions
• Topological quantum optics using atom-like emitter arrays coupled to photonic crystals
• Exotic interactions mediated by a non-Hermitian photonic bath
• Tunable and robust long-range coherent interactions between quantum emitters mediated by Weyl bound states
• Non-Markovian Quantum Optics with Three-Dimensional State-Dependent Optical Lattices
• Effective many-body Hamiltonians of qubit-photon bound states
• Tunable directional emission and collective dissipation with quantum metasurfaces
• Chiral quantum optics in photonic sawtooth lattices
• Avoiding decoherence with giant atoms in a two-dimensional structured environment
• Theory of dipole radiation near a Dirac photonic crystal
• Variational waveguide QED simulators
• Bound states in ultrastrong waveguide QED
• Quantum optics with giant atoms in a structured photonic bath
• Cavity-Quantum Electrodynamics with Moiré Flatband Photonic Crystals
• Microwave transmission through an artificial atomic chain coupled to a superconducting photonic crystal
• Unconventional Quantum Electrodynamics with Hofstadter-Ladder Waveguide
• Anisotropy-mediated reentrant localization
• Topological Effects in Two-Dimensional Quantum Emitter Systems
• Fractional Quantum Zeno Effect Emerging from Non-Hermitian Physics
• Light-matter interactions near photonic Weyl points
• On the limits of photon-mediated interactions in one-dimensional photonic baths
• Quantum electrodynamics in anisotropic and tilted Dirac photonic lattices
• Dipole-dipole interactions mediated by a photonic flat band
• Entanglement entropy of the long-range Dyson hierarchical model
• Nonperturbative decay dynamics in metamaterial waveguides
• Effects of retardation on many-body superradiance in chiral waveguide QED
• Fermionic matter-wave quantum optics with cold-atom impurity models
• Strong and long-range radiative interaction between resonant transitions
• Connecting steady-states of driven-dissipative photonic lattices with spontaneous collective emission phenomena
• Light-Matter interactions in Hofstadter lattice with the next-nearest neighbor couplings
• Bound polariton states in the Dicke-Ising model
• Exotic quantum light-matter interactions in bilayer square lattices
• Controllable Single Photon Scattering via Coupling of Driven $\Lambda$ System with Topological Waveguide
• Dressed bound states and non-Markovian dynamics with a whispering-gallery-mode microcavity coupled to a two-level atom and a semi-infinite photonic waveguide
• Chimera patterns in conservative systems and ultracold atoms with mediated nonlocal hopping
• Long-range interactions in Weyl dense atomic arrays protected from dissipation and disorder
• Exotic collective behaviors of giant quantum emitters in two-dimensional baths
• Dressed emitters as impurities
• Topological quantum electrodynamics in synthetic non-Abelian gauge fields
• Photon-mediated interactions near a Dirac photonic crystal slab