Quantum Mechanics with a Momentum-Space Artificial Magnetic Field

Year: 2014

Authors: Price H. M., Ozawa T., Carusotto I.

Autors Affiliation: INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento, I-38123 Povo, Italy

Abstract: The Berry curvature is a geometrical property of an energy band which acts as a momentum space magnetic field in the effective Hamiltonian describing single-particle quantum dynamics. We show how this perspective may be exploited to study systems directly relevant to ultracold gases and photonics. Given the exchanged roles of momentum and position, we demonstrate that the global topology of momentum space is crucially important. We propose an experiment to study the Harper-Hofstadter Hamiltonian with a harmonic trap that will illustrate the advantages of this approach and that will also constitute the first realization of magnetism on a torus.


Volume: 113 (19)      Pages from: 190403  to: 190403

More Information: We are grateful to N. R. Cooper for helpful comments and to P. Ghiggini for mathematical support. This work was partially funded by ERC through the QGBE grant and by the Autonomous Province of Trento, Call \”Grandi Progetti 2012,\” project \”On silicon chip quantum optics for quantum computing and secure communications – SiQuro\”.
DOI: 10.1103/PhysRevLett.113.190403

Citations: 39
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