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DISCRETE 2014: Fourth Symposium on Prospects in the Physics of Discrete Symmetries

2–6 Dec 2014
King's College London, Strand Campus
Europe/London timezone

Session

Parallel 3: PT symmetric quantum theory

2 Dec 2014, 17:00
Great Hall and several lecture theatres (King's College London, Strand Campus)

Great Hall and several lecture theatres

King's College London, Strand Campus

Strand London WC2R 2LS UK

Presentation materials

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  1. 2. Solitons, soliton vortices and PT-symmetry in spin-orbit coupled Bose-Einstein condensates.
    Prof. Vladimir Konotop (Universidade de Lisboa)
    02/12/2014, 17:00
    Spin-orbit coupled Bose-Einstein condensates (SO-BECs), which in the meanfield approximation are governed by two linearly coupled Gross-Pitaevskii equations, allow for the existence of many types of localized nonlinear excitations: fundamental and multipole solitons, soliton half-vortices, etc. In the first part of the talk, such excitations will be considered in the presence of so-called...
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  2. 104. PT-Symmetric $\phi^3$ and $\phi^4$ theories: properties and intriguing results.
    Prof. Vincenzo Branchina (University of Catania)
    02/12/2014, 17:35
    The renormalization group properties of a PT-symmetric $\phi^3$ theory are discussed and compared to the corresponding properties of the conventional theory. In d=6 dimensions, the theory turns out to be energetically stable, perturbatively renormalizable, and trivial (the conventional one being asymptotically free and unstable). Moreover, in $d =6-\epsilon$ dimensions, the theory has...
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  3. 29. PT Symmetry, Quantum Gravity, and the Metrication of the Fundamental Forces
    Prof. Philip Mannheim (University of Connecticut)
    02/12/2014, 18:15
    We discuss some recent applications of PT symmetry to fundamental physics. We show that the recognition (Bender and Mannheim) that fourth-order derivative theories are PT symmetric theories rather than Hermitian ones enables one to show that such theories are ghost free and unitary. This then permits the fourth-order derivative conformal gravity theory to be a consistent quantum theory of...
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  4. 50. Foldy-Wouthuysen transformation for a non-Hermitian Hamiltonian
    Jean Alexandre (King's College London)
    02/12/2014, 18:50
    I will show the consistency of a non-Hermitian Lagrangian describing free fermions, and perform the Foldy-Wouthuysen transformation in order to map the Hamiltonian on a Hermitian one.
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