Formulas are presented that provide clear physical insight into the phenomenon of extrinsic optical scattering loss in photonic crystal waveguides due to random fabrication imperfections such as surface roughness and disorder. Using a photon Green-function-tensor formalism, we derive explicit expressions for backscattered total transmission losses. Detailed calculations planar crystals yield values overall agreement with experimental measurements, including full dispersion characteristics....

Electromagnetic cavity modes in photonic and plasmonic resonators offer rich attractive regimes for tailoring the properties of light-matter interactions. Yet there is a disturbing lack precise definition what constitutes mode, as result their mathematical remain largely unspecified. The evidenced part by diverse nomenclature at use - "resonance", "leaky mode", "quasimode", to name but few suggesting that dissipative nature somehow makes them different from other modes, an explicit...

By performing a full analysis of the projected local density states (LDOS) in photonic crystal waveguide, we show that phase plays crucial role symmetry light-matter interaction. considering quantum dot (QD) spin coupled to waveguide (PCW) mode, demonstrate interaction can be asymmetric, leading unidirectional emission and deterministic entangled photon source. Further understanding associated with both LDOS QD is essential for range devices realised PCW. We also how entanglement completely...

We introduce a second quantization scheme based on quasinormal modes, which are the dissipative modes of leaky optical cavities and plasmonic resonators with complex eigenfrequencies. The theory enables construction multi-plasmon/photon Fock states for arbitrary three-dimensional gives solid understanding to limits phenomenological Jaynes-Cummings models. In general case, we show how different interfere through an off-diagonal mode coupling demonstrate these results affect cavity-modified...

Detailed propagation loss spectrum measurements for line-defect waveguides in silicon photonic crystal slabs are presented, which show record low values $(5\phantom{\rule{0.3em}{0ex}}\mathrm{dB}∕\mathrm{cm})$ and complicated frequency dependence. We quantitatively analyze the origin of shape using a photon Green function theory obtain very good agreement, thus providing an explanation complex physical mechanisms responsible observed loss. In particular, we demonstrate influence out-plane,...

A theoretical formalism to calculate the spontaneous emission rate enhancement (Purcell factor) and propagation mode $\ensuremath{\beta}$ factor from single quantum dots in a planar-photonic-crystal waveguide is presented. Large Purcell factors for slow light modes, enormous ($>0.85$) over broadband (10 THz) spectral range are subsequently predicted. The local density of photon states found diverge at photonic band edge, but we discuss why this divergence will always be broadened real...

We show explicitly how the commonly adopted prescription for calculating effective mode volumes is wrong and leads to uncontrolled errors. Instead, we introduce a generalized volume that can be easily evaluated based on calculation methods typically applied in literature, which allows one compute Purcell effect other interesting optical phenomena rigorous unambiguous way.

We investigate the quantum optical properties of a quantum-dot dipole emitter coupled to finite-size metal nanoparticle using photon Green-function technique that rigorously quantizes electromagnetic fields. first obtain pronounced Purcell factors and photonic Lamb shifts for both 7- 20-nm-radius nanoparticle, without adopting approximation. then consider positioned sufficiently near so strong-coupling regime is possible. Accounting nondipole interactions, quenching, transport from dot...

We study the resonance fluorescence spectra of a driven quantum dot placed inside high-Q semiconductor cavity and interacting with an acoustic phonon bath. The dynamics is calculated using time-convolutionless master equation in polaron frame. predict pronounced spectral broadening Mollow sidebands through off-resonant emission which, for small cavity-coupling rates, increases quadratically Rabi frequency direct agreement recent experiments micropillars [S. M. Ulrich et al., preceding...

Abstract We review the basic light‐matter interactions and optical properties of chip‐based single photon sources, that are enabled by integrating quantum dots with planar photonic crystals. A theoretical framework is presented allows one to connect a wide range light propagation effects in physically intuitive straightforward way. focus on important mechanisms enhanced spontaneous emission, efficient extraction, using all‐integrated crystal components including waveguides, cavities, output...

Light transmission measurements and frequency-delay reflectometry maps for GaAs photonic crystal membranes are presented analyzed, showing the transition from propagation with a well-defined group velocity to regime completely dominated by disorder-induced coherent scattering. Employing self-consistent optical scattering theory, only statistical functions describe structural disorder, we obtain excellent agreement experiments using no fitting parameters. Our theory together provide clear...

We discuss three formally different formulas for normalization of quasinormal modes currently in use modeling optical cavities and plasmonic resonators show that they are complementary provide the same result. Regardless formula used normalization, one can norm to define an effective mode volume Purcell factor calculations.

We describe a powerful and intuitive theoretical technique for modeling light–matter interactions in classical quantum nanoplasmonics. Our approach uses quasinormal mode (QNM) expansion of the photon Green function within metal nanoresonator arbitrary shape, together with Dyson equation, to derive an expression spontaneous decay rate far field propagator from dipole oscillators outside resonators. For single QNM, at positions quasi-static coupling regime, we give closed form solution Purcell...

A potential phase transition between a normal ground state and photon-condensed in many-dipole light-matter systems is topic of considerable controversy, exacerbated by conflicting no-go counter theorems often ill-defined models. We contribute to the clarification this long-lasting debate analyzing two specific arrangements atoms, including three-dimensional cubic lattice cavity-embedded square layer—which provides physical model for single-mode cavity QED with coupled dipoles thermodynamic...

Spontaneous emission rate enhancements from a single quantum dot embedded in finite-size, planar photonic-crystal waveguide are investigated. Short lengths of only 10 to 20 unit cells found produce very large Purcell factors associated with waveguidelike sharp resonance feature the local density photon states. Aided by theoretical insight and rigorous computational calculations, we explain physics behind these remarkable subsequently propose "single-photon gun" on-chip unidirectional...

Employing a medium-dependent quantum optics formalism and Green function solution of Maxwell's equations, we study the enhanced spontaneous emission factors (Purcell factors) Lamb shifts from dot or atom near surface %embedded in slow-light metamaterial waveguide. Purcell approximately 250 100 are found at optical frequencies for $p-$polarized $s-$polarized dipoles respectively placed 28\thinspace nm (0.02\thinspace $\lambda_{0}$) above slab surface, including realistic loss factor $\gamma...

Putting a light-emitting semiconductor quantum dot in an optical cavity leads to ways of generating and manipulating single photons. A Canadian team investigates theoretically if, how, acoustic phonons such dot-cavity systems affect their photoemission.

We present a comprehensive theoretical study of the resonance fluorescence spectra an exciton-driven quantum dot (QD) placed inside high-$Q$ semiconductor cavity and interacting with acoustic phonon bath. derive master equation (ME) in polaron frame which includes exciton-phonon exciton-cavity coupling to all orders. This work details extends theory used recent issue {\em Physical Review Letters} (C. Roy S. Hughes 2011: Phys. Rev. Lett. {\bf 106} 247403) describe QD Mollow triplet regime...

We present both experimental and theoretical investigations of a laser-driven quantum dot (QD) in the dressed-state regime resonance fluorescence. explore role phonon scattering pure dephasing on detuning-dependence Mollow triplet show that sidebands may spectrally broaden or narrow with increasing detuning. Based polaron master equation approach which includes electron-phonon interaction nonperturbatively, we derive fully analytical expression for spectrum. With respect to detuning...

We present an intuitive and accurate modal description of the rich optical physics involved for quantum dipole emitters coupled to hybrid plasmonic photonic-cavity structures. A significant frequency dependence spontaneous emission decay rate a emitter these structures is found. In particular, it shown that Fano-type resonance reported experimentally in systems arises from large interference between two dominant quasinormal modes range interest. The presented theory forms efficient basis...

We demonstrate the simultaneous dressing of both vacuum-to-exciton and exciton-to-biexciton transitions a single semiconductor quantum dot in high-Q micropillar cavity, using photoluminescence spectroscopy. Resonant two-photon excitation biexciton is achieved by spectrally tuning emission with respect to cavity mode. The couples amplifies Rabi frequency likewise resonant continuous wave laser, driving transitions. observe strong-field splitting lines, which depend on field amplitude...

On-chip chiral quantum light-matter interfaces, which support directional interactions, provide a promising platform for efficient spin-photon coupling, nonreciprocal photonic elements, and logic architectures. We present full-wave three-dimensional calculations to quantify the performance of conventional topological crystal waveguides as emitter-photon interfaces. Specifically, ability these structures enhance interactions while suppressing subsequent backscattering losses is quantified....