Affiliation:
1. Department of Physics, University of Chicago , 5720 South Ellis Avenue, Chicago, Illinois 60637
2. Department of Physics, Georgetown University , 37th and O Sts. NW, Washington, DC 20057
Abstract
The Landau–Zener problem, where a minimum energy separation is passed with constant rate in a two-state quantum-mechanical system, is an excellent model quantum system for a computational project. It requires a low-level computational effort, but has a number of complex numerical and algorithmic issues that can be resolved through dedicated work. It can be used to teach computational concepts, such as accuracy, discretization, and extrapolation, and it reinforces quantum concepts of time-evolution via a time-ordered product and of extrapolation to infinite time via time-dependent perturbation theory. In addition, we discuss the concept of compression algorithms, which are employed in many advanced quantum computing strategies, and easy to illustrate with the Landau–Zener problem.
Funder
National Science Foundation
U.S. Department of Energy
McDevitt Bequest, Georgetown University
Publisher
American Association of Physics Teachers (AAPT)
Subject
General Physics and Astronomy
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