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Andreas Knorr - One of the best experts on this subject based on the ideXlab platform.

  • Quantization of quasinormal modes for open cavities and plasmonic cavity quantum electrodynamics
    Physical Review Letters, 2019
    Co-Authors: Sebastian Franke, Andreas Knorr, Stephen H Hughes, Mohsen Kamandar Dezfouli, Philip Trost Kristensen, Kurt Busch, Marten Richter
    Abstract:

    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 the construction of multiplasmon or multiphoton Fock states for arbitrary three-dimensional dissipative resonators and gives a solid understanding to the limits of phenomenological dissipative Jaynes-Cummings models. In the general case, we show how different quasinormal modes interfere through an off-diagonal mode coupling and demonstrate how these results affect cavity-modified spontaneous emission. To illustrate the practical application of the theory, we show examples using a gold nanorod dimer and a hybrid dielectric-metal cavity structure.

  • graphene and carbon nanotubes ultrafast relaxation dynamics and optics
    2013
    Co-Authors: Ermin Malic, Andreas Knorr
    Abstract:

    1. Introduction - The Carbon Age 2. Theoretical Framework 3. Experimental techniques for the Study of Ultrafast Nonequilibrium Carrier Dynamics in Graphene Part One: Electronic Properties - Carrier Relaxation Dynamics 4. Relaxation dynamics in graphene 5. Carrier Dynamics in Carbon Nanotubes Part Two: Optical Properties - Absorption Spectra 6. Absorption Spectra of Carbon Nanotubes 7. Absorption Spectrum of Graphene A Introduction to the Appendices B Observables in Optical Experiments C Second Quantization D Equations of Motion E Mean-Field and Correlation Effects

  • graphene and carbon nanotubes ultrafast relaxation dynamics and optics
    2013
    Co-Authors: Ermin Malic, Andreas Knorr
    Abstract:

    1. Introduction - The Carbon Age 2. Theoretical Framework 3. Experimental techniques for the Study of Ultrafast Nonequilibrium Carrier Dynamics in Graphene Part One: Electronic Properties - Carrier Relaxation Dynamics 4. Relaxation dynamics in graphene 5. Carrier Dynamics in Carbon Nanotubes Part Two: Optical Properties - Absorption Spectra 6. Absorption Spectra of Carbon Nanotubes 7. Absorption Spectrum of Graphene A Introduction to the Appendices B Observables in Optical Experiments C Second Quantization D Equations of Motion E Mean-Field and Correlation Effects

Thomas F. George - One of the best experts on this subject based on the ideXlab platform.

  • the quantum damped harmonic oscillator
    Physics Reports, 2002
    Co-Authors: C I Um, Kyuhwang Yeon, Thomas F. George
    Abstract:

    Abstract Starting with the Quantization of the Caldirola–Kanai Hamiltonian, various phenomenological methods to treat the damped harmonic oscillator as a dissipative system are reviewed in detail. We show that the path integral method yields the exact quantum theory of the Caldirola–Kanai Hamiltonian without violation of Heisenberg's uncertainty principle. Through the dynamical invariant and Second Quantization methods together with the path integral, we also present systematically the exact quantum theories for the various dissipative harmonic oscillators, bound and unbound quadratic Hamiltonian systems, and the relation between the canonical and unitary transformations for the classical and quantum dissipative systems.

Shigeyoshi Sakaki - One of the best experts on this subject based on the ideXlab platform.

  • generalization of the new resonance theory Second Quantization operator localization scheme and basis set
    Journal of Chemical Theory and Computation, 2009
    Co-Authors: Atsushi Ikeda, Yoshihide Nakao, Hirofumi Sato, Shigeyoshi Sakaki
    Abstract:

    We have recently proposed a method to evaluate the weights of resonance structures embedded in a molecular orbital by utilizing singlet-coupling scheme of an electron pair [J. Phys. Chem. A 2006, 110, 9028]. The method was formulated on the basis of the Second Quantization, in which a biorthogonal operator related to Mulliken population (MP) was used together with the Boys−Foster (BF) localization scheme. Our method is very easy to use; only a standard localization procedure is required to obtain the resonance weights. In addition, obtained results agreed well with our chemical intuition. In the present Article, the restrictions, namely MP and BF, were removed, and an operator related to Lowdin population (LP) and other various types of localization schemes were employed to examine the generality of the method. We found that computed resonance weights were virtually independent not only on the choice of these combinations but also on basis set. This new finding, the invariant nature in terms of resonance,...

Paniagua, Juan Carlos - One of the best experts on this subject based on the ideXlab platform.

Poul Jorgensen - One of the best experts on this subject based on the ideXlab platform.

  • orbital connections for perturbation dependent basis sets
    Theoretical Chemistry Accounts, 1995
    Co-Authors: Jeppe Olsen, Keld L Bak, Kenneth Ruud, Trygve Helgaker, Poul Jorgensen
    Abstract:

    The use of perturbation-dependent basis sets is analysed with emphasis on the connection between the basis sets at different values of the perturbation strength. A particular connection, the natural connection, that minimizes the change of the basis set orbitals is devised and the Second Quantization realization of this connection is introduced. It is shown that the natural connection is important for the efficient evaluation of molecular properties and for the physical interpretation of the terms entering the calculated properties. For example, in molecular Hessian calculations the natural connection reduces the size of the relaxation term, leading to faster convergence of the response equations. The physical separation of the terms also means that first-order non-adiabatic coupling matrix elements can be obtained in a very simple way from a molecular Hessian calculation.