Theory of Photon Blockade by an Optical Cavity with One Trapped Atom

Abstract

In our recent paper [1], we reported observations of photon blockade by one atom strongly coupled to an optical cavity. In support of these measurements, here we provide an expanded discussion of the general phenomenology of photon blockade as well as of the theoretical model and results that were presented in Ref. [1]. We describe the general condition for photon blockade in terms of the transmission coefficients for photon number states. For the atom-cavity system of Ref. [1], we present the model Hamiltonian and examine the relationship of the eigenvalues to the predicted intensity correlation function. We explore the effect of different driving mechanisms on the photon statistics. We also present additional corrections to the model to describe cavity birefringence and ac-Stark shifts. [1] K. M. Birnbaum, A. Boca, R. Miller, A. D. Boozer, T. E. Northup, and H. J. Kimble, Nature 436, 87 (2005).

10 pages, 6 figures

References in corpus (5)

• Observation of the Vacuum-Rabi Spectrum for One Trapped Atom
• State-Insensitive Cooling and Trapping of Single Atoms in an Optical Cavity
• Photon-photon interactions in cavity electromagnetically induced transparency
• Single-photon tunneling
• Polariton Analysis of a Four-Level Atom Strongly Coupled to a Cavity Mode

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• Quantum state engineering, purification, and number resolved photon detection with high finesse optical cavities
• Chiral photon blockade in the spinning Kerr resonator
• Propagation and Distribution of Quantum Correlations in a Cavity QED Network
• Single-photon blockade in quasichiral atom-photon interaction: Simultaneous high purity and high efficiency
• Feedback-induced nonlinearity and superconducting on-chip quantum optics
• Soliton blockade in bidirectional microresonators
• Photon Antibunching in Single-Molecule Vibrational Sum-Frequency Generation
• Quantum many-body simulation using monolayer exciton-polaritons in coupled-cavities
• Fermionized photons in the ground state of one-dimensional coupled cavities
• Observation of interaction induced blockade and local spin freezing in a NMR quantum simulator
• Coherent control of single photons in the cross resonator arrays via the dark state mechanism
• Generating strong anti-bunching by interfering with coherent states
• Quantum interference induced photon localisation and delocalisation in coupled cavities
• Preparation of a single-photon dark state in a chiral quantum system
• Effect of atomic beam alignment on photon correlation measurements in cavity QED
• Topologically protected subradiant cavity polaritons through linewidth narrowing enabled by dissipationless edge states
• Magnon and photon blockade in a hybrid antiferromagnet-cavity quantum system
• Highly nonclassical phonon emission statistics through two-phonon loss of van der Pol oscillator
• Correlation of Dirac potentials and atomic inversion in cavity quantum electrodynamics
• Fock space localization of polaritons in the Jaynes-Cummings dimer model
• Optical normal-mode-induced phonon-sideband splitting in photon-blockade effect
• Unconventional Photon blockade in a Photonic Molecule Containing a Quantum Dot
• Purcell-Enhanced Generation of Photonic Bell States via the Inelastic Scattering of Single Atoms
• Preservation of loss in linear-optical processing
• Cavity-field distribution in multiphoton Jaynes-Cummings resonances
• Fabrication of Customized, Low-Loss Optical Resonators by Combination of FIB-Milling and CO${}_2$ Laser Ablation
• Broadband Parametric Downconversion as a Discrete-Continuum Fano Interaction
• Superfluid-Mott-insulator transition in superconducting circuits with weak anharmonicity
• Phonon Signatures in Photon Correlations
• Anomalous decoherence and absence of thermalization in a photonic many-body system
• Engineering Photon Delocalization in a Rabi Dimer with a Dissipative Bath
• Quantum dynamics and breakdown of classical realism in nonlinear oscillators
• Universal theory of multipartite cavity quantum electrodynamics
• Strong single-photon to two-photon bundles emission in spin-1 Jaynes-Cummings model
• Motional Quantum States of Surface Electrons on Liquid Helium in a Tilted Magnetic Field
• Quantum Correlations in Cavity QED Networks
• Quantum nonlinear optics on the edge of a few-particle fractional quantum Hall fluid in a small lattice
• Interplay between polarization and quantum correlations of confined polaritons
• Epitaxial lift-off for solid-state cavity quantum electrodynamics
• Time-resolved observation of a dynamical phase transition of atoms in a cavity
• Second-order correlation and squeezing of photons in cavities with ultrastrong magnon-photon interactions
• Visualizing the breakdown of quantum multimodality in coherently driven light-matter interaction
• Disorder-Induced Strongly Correlated Photons in Waveguide QED
• Determination of the maximum Global Quantum Discord via measurements of excitations in a cavity QED network
• A cavity array microscope for parallel single-atom interfacing
• Manipulating photonic quantum states with long-range interactions
• Nucleation of superfluid-light domains in a quenched dynamics
• Heralded Interaction Control between Quantum Systems
• Quantum phase transitions of light in a dissipative Dicke-Bose-Hubbard model
• Mollow triplet: pump probe single photon spectroscopy of artificial atoms
• Steering Interchange of Polariton Branches via Coherent and Incoherent Dynamics
• Quantum Mollow Quadruplet in Non-linear Cavity-QED
• Nonclassical correlated optical multistability at low photon level for cavity electromagnetically induced transparency
• Dynamical Blockade Optimizing via Particle Swarm Optimization Algorithm
• Cavity QED based on strongly localized modes: exponentially enhancing single-atom cooperativity
• Sensing single atoms in a cavity using a broadband squeezed light
• Quantum and Classical Chaos in Kicked Coupled Jaynes-Cummings Cavities
• Continuous parametric feedback cooling of a single atom in an optical cavity
• Mechanically modulated emission spectra and blockade of polaritons
• Broadband photon-photon interactions mediated by cold atoms in a photonic crystal fiber
• Strong coupling between a single-photon and a two-photon Fock state
• A supersymmetry journey from the Jaynes-Cummings to the anisotropic Rabi model
• Jaynes-Cummings interaction with a traveling light pulse
• Optomechanical strong coupling between a single cavity photon and a single atom
• Scaling Enhancement of Photon Blockade in Output Fields
• Photon blockade and nonlinear effects for a quantum dot strongly coupled to a semiconductor microcavity
• Quantum speed limit of a single atom in a squeezed optical cavity mode
• Optical signatures of Mott-superfluid transition in nitrogen-vacancy centers coupled to photonic crystal cavities
• Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions
• Overcoming photon blockade in circuit QED single-atom maser with engineered metastability and strong coupling
• Wave-particle correlations in multiphoton resonances of coherent light-matter interaction
• Environment-Induced Rabi Oscillations in the Optomechanical Boson-Boson Model
• $N$-photon bundles emission in high-spin Jaynes-Cummings model
• Non-Hermitian ultra-strong bosonic clustering through interaction-induced caging
• Coherent control of a solid-state quantum bit with few-photon pulses
• Photon-photon correlations with a V-type three-level system interacting with two quantized field modes
• Exploring Photon Blockade in Multimode Jaynes-Cummings Models with Two-Photon Dissipation
• Single-photon nonlinearities and blockade from a strongly driven photonic molecule
• Tripartite multiphoton Jaynes-Cummings model: Analytical solution and Wigner nonclassicalities
• The Formation of Photon-Molecules in Nanoscale Waveguides
• All-optical pulse switching with a periodically driven dissipative quantum system
• Is the photon-blockade breakdown a quantum effect? A neoclassical story
• Excitations of photon-number states in Kerr nonlinear resonator at finite temperatures
• Polarization-entangled photon generation by a semiconductor quantum dot coupled to a cavity interacting with external fields
• A new method for driven-dissipative problems: Keldysh-Heisenberg equations
• Unraveling two-photon entanglement via the squeezing spectrum of light traveling through nanofiber-coupled atoms
• Perspectives on epitaxial InGaP for quantum and nonlinear optics
• Unconventional saturation effects at intermediate drive in a lossy cavity coupled to few emitters
• Indistinguishability-induced classical-to-nonclassical transition of photon statistics
• Rigorous criterion for characterizing correlated multiphoton emissions
• Engineering Gaussian states of light from a planar microcavity
• Weak-Light Nonlinearity Using a Dark State in Coupled Quantum Dots
• Zero-threshold correlated-photon laser with a single trapped atom in a bimodal cavity
• Superradiance, charge density waves and lattice gauge theory in a generalized Rabi-Hubbard chain
• Exact solvability and two-frequency Rabi oscillation in cavity-QED setup with moving emitter
• Perfect Quantum State Transfer in Glauber-Fock Cavity Array
• Fano effect induced giant and robust enhancement of photon correlations in cavity QED systems
• Quantum superposition of localized and delocalized phases of photons
• Quantum-fluctuation asymmetry in multiphoton Jaynes-Cummings resonances
• Creation of superposition of arbitrary states encoded in two three-dimensional cavities
• Coherent anharmonicity transfer from matter to light in the THz regime
• Comparison of semiclassical and quantum models of a two-level atom-cavity QED system in the strong coupling regime
• Unveiling Vacuum Fluctuations and Nonclassical States with Cavity-Enhanced Tripartite Interactions
• Hybrid Rabi interaction with traveling states of light
• Quantum Metrology in the Ultrastrong Coupling Regime of Light-Matter Interactions: Leveraging Virtual Excitations without Extracting Them
• Quantum phase transition in the one-dimensional Dicke-Hubbard model with coupled qubits
• Nonreciprocal Photon Blockade in an Asymmetric Cavity
• Current fluctuations in nonequilibrium open quantum systems beyond weak coupling: a reaction coordinate approach
• Nonclassical correlations and quadrature squeezing of photons in anisotropic quantum Rabi-Stark model
• Photon Aided and Inhibited Tunneling of Photons
• Convert laser light into single photons via interference
• Telling emissions apart in a multiphoton resonance: visualizing a conditional evolution
• Selective excitations of a Kerr-nonlinear resonator: exactly solvable approach
• Probing the critical point of the Jaynes-Cummings second-order dissipative quantum phase transition
• Precise and extensive characterization of an optical resonator for cavity-based quantum networks
• Scalable, chip-based optically-controlled gates for quantum information processing
• Optical source of individual pairs of color-conjugated photons
• Optimal Photon blockade on the maximal atomic coherence
• Theory of Andreev Blockade in a Double Quantum Dot with a Superconducting Lead
• Transport of pseudothermal photons through an anharmonic cavity
• Generation of large Fock states from coherent states using Kerr interaction and displacement
• Hybrid level anharmonicity and interference induced photon blockade in a two-qubit cavity QED system with dipole-dipole interaction
• Phonon trapping states as a witness for generation of phonon blockade in a hybrid micromaser system
• Tunable single photon and two-photon emission in a four-level quantum dot-bimodal cavity system
• A superradiant laser based on two-photon Raman transition of caesium atoms
• Polariton Lasing in Micropillars With One Micrometer Diameter and Position-Dependent Spectroscopy of Polaritonic Molecules
• Observation of Quantum Zeno blockade on Chip
• Photon blockade effect from synergistic optical parametric amplification and driving force in Kerr-medium single-mode cavity
• Tunable photon blockade in a whispering-gallery-mode microresonator coupled with two nanoparticles
• Atomic entanglement purification using photonic Faraday rotation
• Quantum Electrodynamics of Quantum Dot-Metal Nanoparticles Molecules
• Single Photon Two-Level Atom Interactions in 1-D Dielectric Waveguide: Quantum Mechanical Formalism and Applications
• Long-Range Blockade Between Counter-Propagating Photons
• Antibunching via cooling by heating
• Advances in quantum optomechanical control based on cavity cold-atom systems
• Mechanical engineering of photon blockades in a cavity optomechanical system
• Photon statistics on the extreme entanglement
• Two-Polariton Blockade via Ultrastrong Light-Matter Coupling