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A: Atomphysik
A 14: Multiphotonen II / Theorie
A 14.8: Talk
Thursday, March 7, 2002, 15:45–16:00, HS 01/EZ04
Interference of kinetic energies — •Javier Botero1,2, Jens Peder Dahl1,3, Aldo Delgado1, Thomas Seligman4, and Wolfgang Peter Schleich1 — 1Abteilung für Quantenphysik, Universität Ulm, D-89069 Ulm, Germany — 2Escuela Colombiana de Ingeneiría, AA 14520 Bogotá, Colombia — 3Chemical Physics, Department of Chemestry, Technical University of Denmark, DTU 207, DK-2800 Lyngby, Denmark — 4Instituto de Matemáticas, Universidad de México, A.P. 20364, 0100 México D. F., México
Thermodynamics considers kinetic energy to be an extensive variable which is therefore proportional to the number N of particles. In this contribution we present a pure quantum state of N non-interacting bosons for which the kinetic energy increases quadratically with N.
This quantum state is an s-wave in a 3N-dimensional space and is completely symmetric under exchange of coordinates of the particles. This state could be experimentally realized using a Bose-Einstein condensate.
In order to investigate this effect we calculate some characteristic quantities of this quantum state such as the average kinetic energy and the width of the spatial distribution as function of the number N of particles and the parameters that define this state. We investigate a way to obtain the reduced density matrix corresponding to M≤ N particles and calculate some M-particle quantities. The temporal evolution of such state is also discussed.
We show that this enhancement effect is related to the quantum centrifugal potential whose strength is quadratic in the number of particles.