2013/10/21 by S. Choi, Stephen U. S. Choi, R. Onofrio +3
Computer Science · Mathematics · Physics and Astronomy · #Applied mathematics #Boundary (topology) #Boundary value problem #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Context (archaeology) #Dipole #Dynamics (music) #Extension (predicate logic) #Limit (mathematics) #Mathematical analysis #Mathematics #Mechanical and Optical Resonators #Physics #Quantum Information and Cryptography #Quantum mechanics #Relevance (law) #Statistical physics #Theoretical physics #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1103/physreva.88.053401
published as Physical Review A Vol 88, 053401 (2013) · 9 pages, 4 figures, v2: To appear in Physical Review A. (some minor typos corrected and some references added)
arxiv created 2013/10/21 · openalex publication_date 2013/11/01 · arxiv updated 2015/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Recently introduced methods which result in shortcuts to adiabaticity, particularly in the context of frictionless cooling, are rederived and discussed in the framework of an approach based on Ehrenfest dynamics. This construction provides physical insights into the emergence of the Ermakov equation, the choice of its boundary conditions, and the use of minimum uncertainty states as indicators of the efficiency of the procedure. Additionally, it facilitates the extension of frictionless cooling to more general situations of physical relevance, such as optical dipole trapping schemes. In this context, we discuss frictionless cooling in the short-time limit, a complementary case to the one considered in the literature, making explicit the limitations intrinsic to the technique when the full three-dimensional case is analyzed.