2016/03/18 by Anthony Kiely, Albert Benseny, Thomas Busch +2 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Angular momentum #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Ferromagnetism #Laser #Lattice (music) #Mathematics #Maxima and minima #Optical lattice #Physics #Quantum #Quantum Information and Cryptography #Quantum electrodynamics #Quantum mechanics #Quantum optics and atomic interactions #Schrödinger equation #Ultracold atom #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1088/0953-4075/49/21/215003
published as J. Phys. B 49, 215003 (2016) · 20 pages, 8 figures
arxiv created 2016/03/18 · openalex publication_date 2016/10/18 · arxiv updated 2016/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a method to create higher orbital states of ultracold atoms in the Mott regime of an optical lattice. This is done by periodically modulating the position of the trap minima (known as shaking) and controlling the interference term of the lasers creating the lattice. These methods are combined with techniques of shortcuts to adiabaticity. As an example of this, we show specifically how to create an anti-ferromagnetic type ordering of angular momentum states of atoms. The specific pulse sequences are designed using Lewis–Riesenfeld invariants and a four-level model for each well. The results are compared with numerical simulations of the full Schrödinger equation.