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Implementing supersymmetric dynamics in ultracold-atom systems

2017/03/08 by M. Lahrz, Christof Weitenberg, C. Weitenberg +2
Physics and Astronomy · #Astronomical interferometer #Atom interferometer #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Gauge theory #Interference (communication) #Interferometry #Mechanical and Optical Resonators #Physics #Quantum #Quantum dynamics #Quantum mechanics #Quantum optics and atomic interactions #Superposition principle #Supersymmetric quantum mechanics #Supersymmetry #Theoretical physics #Ultracold atom #Wave packet #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1103/physreva.96.043624

published as Phys. Rev. A 96, 043624 (2017) · 8 pages, 9 figures

arxiv created 2017/03/08 · openalex publication_date 2017/10/24 · arxiv updated 2017/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Supersymmetric systems derive their properties from conserved supercharges which form a supersymmetric algebra. These systems naturally factorize into two subsystems, which, when considered as individual systems, have essentially the same eigenenergies, and their eigenstates can be mapped onto each other. We propose a Mach-Zehnder interference experiment to detect supersymmetry in quantum-mechanical systems, which can be realized with current technology. To demonstrate this interferometric technique, we first propose a one-dimensional ultracold-atom setup to realize a pair of supersymmetric systems. Here, a single-atom wave packet evolves in a superposition of the subsystems and gives an interference contrast that is sharply peaked if the subsystems form a supersymmetric pair. Second, we propose a two-dimensional setup that implements supersymmetric dynamics in a synthetic gauge field.

Citations