Symmetries of the Dissipative Hofstadter Model
Denise E. Freed
TL;DR
This paper explores the symmetries of the dissipative Hofstadter model, revealing duality and invariance properties that enable exact solutions for correlation functions in a complex quantum system.
Contribution
It uncovers the SL(2,Z) duality and reparametrization invariance symmetries of the model, providing new tools for solving correlation functions.
Findings
Identification of SL(2,Z) duality symmetry
Discovery of hidden reparametrization invariance
Facilitation of exact correlation function solutions
Abstract
The dissipative Hofstadter model, which describes a particle in 2-D subject to a periodic potential, uniform magnetic field, and dissipation, is also related to open string boundary states. This model exhibits an SL(2,Z) duality symmetry and hidden reparametrization invariance symmetries. These symmetries are useful for finding exact solutions for correlation functions.
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Taxonomy
TopicsTheoretical and Computational Physics · Cold Atom Physics and Bose-Einstein Condensates · Quantum many-body systems