CEMPI Seminar to come

Mark HOEFER
Hydrodynamic Soliton Tunneling
Quantum tunneling corresponds to the transmission of a particle with non-negligible probability through a barrier that a classical particle could not pass. This linear concept has been generalized to solitons -- localized, nonlinear waves -- incident upon an externally imposed barrier. The relevant questions are: can the soliton be transmitted, reflected, or trapped by the barrier? In this talk, the concept of hydrodynamic tunneling is introduced whereby solitons are incident upon nonlinear wavetrains of hydrodynamic origin including dispersive shock waves (DSWs) and rarefaction waves (RWs). The distinction from classical tunneling is that the barrier is not externally imposed, rather the propagation medium itself evolves and nonlinearly interacts with the soliton. The soliton transmission conditions are determined utilizing the mathematical tools of hydrodynamic theory (Riemann invariants) and nonlinear wave, Whitham modulation theory. The transmission condition, i.e., the transmitted soliton amplitude as a function of the incident soliton amplitude and flow conditions, correspond to a Riemann invariant of the degenerate modulation equations. The soliton trajectory corresponds to a characteristic of the modulation equations. Trapping and transmission of solitons through DSWs and RWs are shown to exhibit a reciprocity principle whereby solitons tunnel through both according to a reciprocal transmission condition. The theoretical formulation is general and is applied to the Korteweg-de Vries and Nonlinear Schr\"{o}dinger equations, models of a wide variety of fluid, optical, and condensed matter phenomena. Experiments in a nonlinear, dispersive fluid realizing soliton tunneling will also be presented.
June 22nd, 10.30am
CERLA lecture hall




Past CEMPI Seminar

    Mini course by Pierre-Emmanuel Caprace
    "Exotic lattices" "Réseaux irréductibles dans les produits de groupes simples"
    Abstract : "On s'intéresse aux groupes discrets qui apparaissent comme réseaux dans des groupes localement compacts non linéaires, mais qui jouissent néanmoins d'une propriété analogue aux réseaux de groupes de Lie simples de rang supérieur, à savoir l'absence de quotient propre infini. On s'intéressera en particulier aux propriétés résiduelles (résiduelle finitude, séparabilité des sous-groupes) de ces réseaux. Le plan des trois exposés successifs est le suivant; le premier dressera le paysage général, les deux suivants seront plutôt axés sur des exemples concrets.
    March 1st, 1.30-3pm
    place TBA

    Mini course by Pierre-Emmanuel Caprace
    "Exotic lattices" "Réseaux irréductibles dans les produits d'arbres"
    Abstract : "On s'intéresse aux groupes discrets qui apparaissent comme réseaux dans des groupes localement compacts non linéaires, mais qui jouissent néanmoins d'une propriété analogue aux réseaux de groupes de Lie simples de rang supérieur, à savoir l'absence de quotient propre infini. On s'intéressera en particulier aux propriétés résiduelles (résiduelle finitude, séparabilité des sous-groupes) de ces réseaux. Le plan des trois exposés successifs est le suivant; le premier dressera le paysage général, les deux suivants seront plutôt axés sur des exemples concrets.
    March 3rd (Geo-Dyn seminar)
    place TBA

    Mini course by Pierre-Emmanuel Caprace
    "Exotic lattices" "Réseaux dans les immeubles euclidiens triangulaires"
    Abstract : "On s'intéresse aux groupes discrets qui apparaissent comme réseaux dans des groupes localement compacts non linéaires, mais qui jouissent néanmoins d'une propriété analogue aux réseaux de groupes de Lie simples de rang supérieur, à savoir l'absence de quotient propre infini. On s'intéressera en particulier aux propriétés résiduelles (résiduelle finitude, séparabilité des sous-groupes) de ces réseaux. Le plan des trois exposés successifs est le suivant; le premier dressera le paysage général, les deux suivants seront plutôt axés sur des exemples concrets."
    March 6th, 1.30-3pm
    place TBA

    Mini course by Carlangelo Liverani (Università di Roma II - Tor Vergata)
    " Functional analytic approach to hyperbolic dynamical systems "
    Abstract: I will discuss the construction of anisotropic Banach spaces in order to establish statistical properties of hyperpolic dynamical systems.
    February 8, 2017, 10-12am
    Kampé de Fériet room, M2 building

    Chushun TIAN (Institute of Advanced Study, Tsinghua University, Beijing, China)
    Topology and Symmetries in the quantum kicked rotor 2
    Seminar of the "Atomes Froids" group and CEMPI
    October 7, 2016, 10am
    PhLAM, room 172, building P5 bis

    Chushun TIAN (Institute of Advanced Study, Tsinghua University, Beijing, China)
    Topology and Symmetries in the quantum kicked rotor 1
    Seminar of the "Atomes Froids" group and CEMPI
    October 4, 2016, 9.30am
    PhLAM, room 172, building P5 bis

    Maxim Olchanyi (Department of Physics, University of Massachusetts Boston)
    The Inverse Linearization Problem
    Abstract: We investigate the relationship between the nonlinear partial differential equations (PDEs) of mathematical physics and the their linearizations around stationary localized solutions. It turns out that for the PDEs of sine-Gordon type, it is possible to solve the Inverse Linearization Problem, i.e. given the linear stability analysis equations, to restore the original PDE. Of a particular interest are the instances of transparency of the former that may hint on integrability of the latter.
    Thursday June 9, 2016, 11am
    Pierre Glorieux Lecture Hall, CERLA building

    Bruno Laburthe-Tolra (Laboratoire de Physique des Lasers Université Paris 13)
    Dipolar Chromium Atoms: Spin Dynamics in Optical Lattices and Thermodynamics
    Summary
    November 19, 2015, 11am
    Room 172, P5bis

    CEMPI seminar day

    The day features four talks:
      - D. Agafontsev (P.P. Shirshov Institute of Oceanology of RAS):"Integrable turbulence and formation of rogue waves"
      - D. Horoshko (B.I.Stepanov Institute of Physics, NASB, Minsk):"Quantum superpositions of two-mode coherent states: creation, entropic measures and entanglement."
      - C. Mejia-Monasterio (Technical University of Madrid): "From Hamilton to Boltzmann: The scattering road to equilibrium"
      - P.E. Parris (Missouri University of Science & Technology): "Models versus Materials: How well do disorder based transport theories actually describe charge transport in real molecularly doped polymers?"

    The abstracts are available here.

    The detailed programm is available here.

    Registration for lunch : click here.

    Tuesday June 16, 2015
    Room Kampe, M2

    Samuel Lellouch, Laboratoire Charles Fabry de l Institut d Optique (Palaiseau)
    Propagation of Collective Pair Excitations in Disordered Bose Superfluids
    Friday, June 20, 2014, 11:00pm
    Room 172 P5bis

    Lev Khaykovich Universal few-body physics in ultracold atoms Summary
    Tuesday, March 5, 2013, 11:00p.m
    Room 172, P5bis

    Maxim Olchanyi Solitons Summary
    November 14, 2012, 02:00a.m
    Conference room of CERLA









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