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The Peierls Substitution in an Engineered Lattice Potential



Karina K. Jimenez Garcia, Lindsay J. LeBlanc, Ross A. Williams, Matthew C. Beeler, Abigail R. Perry, Ian B. Spielman


Artificial gauge fields open new possibilities to realize quantum many-body systems with ultracold atoms, by constructing Hamiltonians usually associated with electronic systems. In the presence of a periodic potential, artificial gauge fields may bring ultracold atoms closer to the quantum Hall regime. Here, we present a one-dimensional lattice derived purely from effective Zeeman-shifts generated by a combination of Raman coupling and radiofrequency magnetic fields. In this lattice the tunneling matrix element is generally complex. We control both the amplitude and the phase of this tunneling parameter, experimentally realizing the Peierls substitution for ultracold neutral atoms.
Physical Review Letters


artificial gauge fields, Bose-Einstein condensation, flux lattices, Peierls substitution, ultracold atoms


Jimenez, K. , LeBlanc, L. , Williams, R. , Beeler, M. , Perry, A. and Spielman, I. (2012), The Peierls Substitution in an Engineered Lattice Potential, Physical Review Letters, [online], (Accessed May 22, 2024)


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Created May 29, 2012, Updated November 10, 2018