Theory of few-photon quantum scattering in nanophotonic structures

We present a generalization of the input-output formalism that provides an analytic and systematic computation tool for few-photon scattering matrix in waveguide quantum electrodynamics (QED) systems. We also discuss the theoretical constraints on such scattering matrix from the cluster decomposition principle in quantum field theory.

[1]  S. Fan,et al.  General structure of two-photon S matrix in waveguide quantum electrodynamics systems containing a local quantum system with multiple ground states , 2016, 1610.01727.

[2]  S. Fan,et al.  Fano interference in two-photon transport , 2016, 1603.08595.

[3]  J. Ignacio Cirac,et al.  Multiphoton-scattering theory and generalized master equations , 2015, 1507.08699.

[4]  C. K. Law,et al.  Scattering of two distinguishable photons by a Ξ -type three-level atom in a one-dimensional waveguide , 2015 .

[5]  Shanhui Fan,et al.  Input-output formalism for few-photon transport: A systematic treatment beyond two photons , 2015, 1502.06049.

[6]  J. Ignacio Cirac,et al.  Quantum dynamics of propagating photons with strong interactions: a generalized input–output formalism , 2015, 1501.04427.

[7]  L Martin-Moreno,et al.  Scattering in the ultrastrong regime: nonlinear optics with one photon. , 2014, Physical review letters.

[8]  Shanhui Fan,et al.  Analytic properties of two-photon scattering matrix in integrated quantum systems determined by the cluster decomposition principle. , 2013, Physical review letters.

[9]  S. Fan,et al.  Dissipation in few-photon waveguide transport [Invited] , 2013 .

[10]  T. Kippenberg,et al.  Cavity Optomechanics , 2013, 1303.0733.

[11]  D. Roy Two-photon scattering of a tightly focused weak light beam from a small atomic ensemble: An optical probe to detect atomic level structures , 2012, 1210.8132.

[12]  Shanhui Fan,et al.  Two-photon transport through a waveguide coupling to a whispering-gallery resonator containing an atom and photon-blockade effect , 2012, 1208.1258.

[13]  Huaixiu Zheng,et al.  Persistent quantum beats and long-distance entanglement from waveguide-mediated interactions. , 2012, Physical review letters.

[14]  C. K. Law,et al.  Correlated two-photon scattering in cavity optomechanics , 2012, 1206.3085.

[15]  Shanhui Fan,et al.  Few-Photon Single-Atom Cavity QED With Input-Output Formalism in Fock Space , 2012, IEEE Journal of Selected Topics in Quantum Electronics.

[16]  V. Gritsev,et al.  Scattering of massless particles in one-dimensional chiral channel , 2012, 1203.0451.

[17]  Daniel J. Gauthier,et al.  Strongly correlated photons generated by coupling a three- or four-level system to a waveguide , 2012, 1202.2776.

[18]  Shanhui Fan,et al.  Few-photon transport in a waveguide coupled to a pair of colocated two-level atoms , 2011, 1112.1428.

[19]  Zhongling Ji,et al.  Two-photon scattering by a cavity-coupled two-level emitter in a one-dimensional waveguide , 2011, 1107.1934.

[20]  K. Busch,et al.  Few-photon transport in low-dimensional systems , 2011 .

[21]  Xiang Zhang,et al.  Nonlinear quantum optics in a waveguide: distinct single photons strongly interacting at the single atom level. , 2011, Physical review letters.

[22]  A. A. Abdumalikov,et al.  Observation of resonant photon blockade at microwave frequencies using correlation function measurements. , 2011, Physical review letters.

[23]  P. Rabl,et al.  Photon blockade effect in optomechanical systems. , 2011, Physical review letters.

[24]  Shanhui Fan,et al.  Input-output formalism for few-photon transport in one-dimensional nanophotonic waveguides coupled to a qubit , 2010, 1011.3296.

[25]  L Martin-Moreno,et al.  Entanglement of two qubits mediated by one-dimensional plasmonic waveguides. , 2010, Physical review letters.

[26]  Daniel J. Gauthier,et al.  Waveguide QED: Many-body bound-state effects in coherent and Fock-state scattering from a two-level system , 2010, 1009.5325.

[27]  C. K. Law,et al.  Correlated two-photon transport in a one-dimensional waveguide side-coupled to a nonlinear cavity , 2010, 1009.3335.

[28]  Dibyendu Roy,et al.  Two-photon scattering by a driven three-level emitter in a one-dimensional waveguide and electromagnetically induced transparency. , 2010, Physical review letters.

[29]  D. Englund,et al.  Resonant excitation of a quantum dot strongly coupled to a photonic crystal nanocavity. , 2010, Physical review letters.

[30]  C. P. Sun,et al.  Lehmann-Symanzik-Zimmermann reduction approach to multiphoton scattering in coupled-resonator arrays , 2008, 0809.1279.

[31]  H Germany,et al.  Experimental realization of highly efficient broadband coupling of single quantum dots to a photonic crystal waveguide. , 2008, Physical review letters.

[32]  Takao Aoki,et al.  A Photon Turnstile Dynamically Regulated by One Atom , 2008, Science.

[33]  Shanhui Fan,et al.  Strongly correlated multiparticle transport in one dimension through a quantum impurity , 2007 .

[34]  M. Lukin,et al.  Generation of single optical plasmons in metallic nanowires coupled to quantum dots , 2007, Nature.

[35]  Oskar Painter,et al.  Linear and nonlinear optical spectroscopy of a strongly coupled microdisk–quantum dot system , 2007, Nature.

[36]  D. E. Chang,et al.  A single-photon transistor using nanoscale surface plasmons , 2007, 0706.4335.

[37]  S. Fan,et al.  Strongly correlated two-photon transport in a one-dimensional waveguide coupled to a two-level system. , 2007, Physical review letters.

[38]  M. Atatüre,et al.  Quantum nature of a strongly coupled single quantum dot–cavity system , 2006, Nature.

[39]  Warwick P. Bowen,et al.  Observation of strong coupling between one atom and a monolithic microresonator , 2006, Nature.

[40]  Shanhui Fan,et al.  Coherent photon transport from spontaneous emission in one-dimensional waveguides. , 2005, Optics letters.

[41]  H. J. Kimble,et al.  Photon blockade in an optical cavity with one trapped atom , 2005, Nature.

[42]  S. Girvin,et al.  Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics , 2004, Nature.

[43]  H. Kimble,et al.  Scalable photonic quantum computation through cavity-assisted interactions. , 2003, Physical review letters.

[44]  J. Joannopoulos,et al.  Temporal coupled-mode theory for the Fano resonance in optical resonators. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[45]  Collett,et al.  Input and output in damped quantum systems: Quantum stochastic differential equations and the master equation. , 1985, Physical review. A, General physics.

[46]  J. Taylor CLUSTER DECOMPOSITION OF S-MATRIX ELEMENTS , 1966 .

[47]  James H. Crichton,et al.  CLUSTER DECOMPOSITION PROPERTIES OF THE S MATRIX , 1963 .

[48]  W. Hager,et al.  and s , 2019, Shallow Water Hydraulics.

[49]  W. Marsden I and J , 2012 .

[50]  Maira Amezcua,et al.  Quantum Optics , 2012 .

[51]  C. P. Sun,et al.  Two-photon transport in a waveguide coupled to a cavity in a two-level system , 2011 .

[52]  Yasunobu Nakamura,et al.  Deterministic photon-photon √ SWAP gate using a system , 2010 .