Séminaire de groupe
|The trial wavefunction approach to the fractional quantum Hall effect|
|Department of Physics, Yale University (EUA)|
|jeudi 22 novembre 2012 , 10h25|
|Salle de séminaire du groupe de Physique Statistique|
The fractional quantum Hall effect is a many-body phenomenon exhibited by charged particles in a 2D surface pierced by a very strong transverse magnetic field. Within one Landau level, the kinetic part of the energy is quenched, leaving only the part due to the interactions between the particles. These have spectacular effects, and drastically affect the collective behavior of the particles, leading to interesting quantum phases of matter (with such exotic properties as fractionally charged localized excitations). I shall review the ``trial wavefunction approach'' pioneered by Laughlin in 1983, and its extension to other conformal field-theory wavefunctions by Moore and Read in 1991. I shall adopt a modern perspective on these wavefunctions, borrowing some new ideas coming from the quantum information community, by emphasizing their peculiar entanglement properties and their connections to matrix/tensor product states.