Floquet system, Bloch oscillation, and Stark ladder
Tao Ma, Shu-Min Li
TL;DR
This paper establishes the theoretical foundations of multi-band Bloch oscillations and Stark ladders using Floquet theory, providing exact solutions for specific quantum systems and revealing their equivalence with other models.
Contribution
It offers a rigorous proof of multi-band Bloch oscillations and Stark ladders from Floquet theorem and solves specific quantum models exactly using Heun functions.
Findings
Proved multi-band Bloch oscillation and Stark ladder using Floquet theorem.
Derived exact solutions for driven two-level atom and two-band Bloch oscillation.
Demonstrated equivalence between Floquet systems, Bloch oscillation, and rotator models.
Abstract
We prove the multi-band Bloch oscillation and Stark ladder in the and site representation from the Floquet theorem. The proof is also possible from the equivalence between the Floquet system, Bloch oscillation, and the rotator with spin. We also exactly solve the periodically driven two level atom and two band Bloch oscillation in terms of Heun function.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsCold Atom Physics and Bose-Einstein Condensates · Quantum optics and atomic interactions · Advanced Fiber Laser Technologies