Quantum mechanics with a momentum-space artificial magnetic field

Hannah M. Price, Tomoki Ozawa, Iacopo Carusotto

研究成果: Article査読

33 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号190403
ジャーナルPhysical review letters
113
19
DOI
出版ステータスPublished - 2014 11 6
外部発表はい

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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