Mainz 2017 – wissenschaftliches Programm

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A: Fachverband Atomphysik

A 30: Ultracold Atoms I (with Q)

A 30.6: Vortrag

Donnerstag, 9. März 2017, 16:00–16:15, P 104

Implementing supersymmetric dynamics in ultracold atom systems — •Martin Lahrz, Christof Weitenberg, and Ludwig Mathey — Universität Hamburg, Hamburg, Germany

Supersymmetry plays an essential role in solvable quantum mechanical problems, ranging from the hydrogen atom to soliton physics. The solvability of these systems can be traced back to supersymmetric partner Hamiltonians and their isospectral features. In this talk, we propose a detailed experimental setup for ultracold atom systems to realize such a pair of supersymmetric Hamiltonians. To test their supersymmetric relation, we propose a Mach–Zehnder interference experiment that can be realized with current technology. It compares the dynamics of a coherently split wave packet under these Hamiltonians. The contrast of the resulting interference pattern gives a sharp signal if the Hamiltonians form a supersymmetric pair. This proposal establishes ultracold atom dynamics and matter–wave interferometry as a device to test sophisticated features of quantum mechanical systems with clarity.