Topological bands for ultracold atoms

By N. Cooper, J. Dalibard, Ian B. Spielman. Reviews of Modern Physics, 2018

660 citations recorded by the source corpus.

There have been significant recent advances in realizing band structures with geometrical and topological features in experiments on cold atomic gases. This review summarizes these developments, beginning with a summary of the key concepts of geometry and topology for Bloch bands. Descriptions are given of the different methods that have been used to generate these novel band structures for cold atoms and of the physical observables that have allowed their characterization. The focus is on the physical principles that underlie the different experimental approaches, providing a conceptual framework within which to view these developments. Also described is how specific experimental implementations can influence physical properties. Moving beyond single-particle effects, descriptions are given of the forms of interparticle interactions that emerge when atoms are subjected to these energy bands and of some of the many-body phases that may be sought in future experiments.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/96945b4593023a550bc1f9ea14a5d6c45437250b

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In Atomic and Molecular Physics, and Optics

1. K. Kawabata
2. Masahito Ueda
3. D. Abanin
4. I. Bloch
5. Maksym Serbyn
6. Nathan Goldman
7. Masatoshi Sato
8. E. Altman

Citations in the corpus

• Realization of an anomalous Floquet topological system with ultracold atoms (2020, background): “[11] N.”
• Symmetry and Topology in Non-Hermitian Physics (2018, background): “[204] N.”
• Topological dissipation in a time-multiplexed photonic resonator network (2021, neutral): “da dt = (K− γ)a+ P, (2) where t represents the slow-time (round-trip-to-round-trip) evolution of the network, γ represents the intrinsic losses of resonators, P models a coherent drive and K is the network’s coupling matrix.”
• Colloquium : Many-body localization, thermalization, and entanglement (2018, background): “, to the realization of topological Bloch bands in systems of ultracold atoms (Cooper et al., 2018).”
• Simulating quantum many-body dynamics on a current digital quantum computer (2019, background): “Most notable are cold atom experiments ∗ adam.smith@tum.de with optical lattices [30–36] where the natural evolution of the atoms corresponds to a high accuracy to that of a local Hamiltonian of choice.”