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Phase-space manipulations of many-body wave functions

2014/09/12 by G. Condon, A. Fortun, Juliette Billy +3 · 1 citation
Physics and Astronomy · #Acceleration #Atomic and Subatomic Physics Research #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Phase space #Physics #Position (finance) #Quantum mechanics #Quantum optics and atomic interactions #Robustness (evolution) #Wigner distribution function #cond-mat.quant-gas

paper · pdf · doi:10.1103/physreva.90.063616

published as Phys. Rev. A 90, 063616 (2014) · 7 pages, 6 figures, submitted to Phys. Rev. A

arxiv created 2014/09/12 · openalex publication_date 2014/12/08 · arxiv updated 2014/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We explore the manipulation in phase space of many-body wave functions that exhibit self-similar dynamics under the application of sudden force and/or in the presence of a constant acceleration field. For this purpose, we work out a common theoretical framework based on the Wigner function. We discuss squeezing in position space, phase-space rotation, and its implications in cooling for both noninteracting and interacting gases and time-reversal operation. We discuss various optical analogies and calculate the role of a spherical-like aberration in cooling protocols. We also present the equivalent of a spin-echo technique to improve the robustness of velocity dispersion reduction protocols.

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