Taddia Luca, Cornfeld Eyal, Rossini Davide, Mazza Leonardo, Sela Eran, Fazio Rosario
Scuola Normale Superiore, I-56126 Pisa, Italy and CNR-Istituto Nazionale di Ottica, Sede Secondaria di Sesto Fiorentino, I-50019 Sesto Fiorentino, Italy.
Raymond and Beverly Sackler School of Physics and Astronomy, Tel-Aviv University, IL-69978 Tel Aviv, Israel.
Phys Rev Lett. 2017 Jun 9;118(23):230402. doi: 10.1103/PhysRevLett.118.230402. Epub 2017 Jun 8.
Alkaline-earth(-like) atoms, trapped in optical lattices and in the presence of an external gauge field, can form insulating states at given fractional fillings. We will show that, by exploiting these properties, it is possible to realize a topological fractional pump. Our analysis is based on a many-body adiabatic expansion, on simulations with time-dependent matrix product states, and, for a specific form of atom-atom interaction, on an exactly solvable model of fractional pump. The numerical simulations allow us to consider a realistic setup amenable of an experimental realization. As a further consequence, the measure of the center-of-mass shift of the atomic cloud would constitute the first measurement of a many-body Chern number in a cold-atom experiment.
被困在光学晶格中且处于外部规范场中的类碱土原子，在特定的分数填充下可以形成绝缘态。我们将证明，通过利用这些特性，可以实现一个拓扑分数泵。我们的分析基于多体绝热展开、含时矩阵乘积态的模拟，并且对于一种特定形式的原子间相互作用，基于一个分数泵的精确可解模型。数值模拟使我们能够考虑一个适合实验实现的现实设置。进一步的结果是，原子云质心位移的测量将构成冷原子实验中多体陈数的首次测量。
