2017/08/25 by Tomas Opatrny, Lukas Richterek, Martin Opatrny · 1 citation
Physics and Astronomy · #quant-ph #physics.class-ph
paper · pdf · doi:10.1038/s41598-018-20486-y
published as Sci. Rep. 8, 1984 (2018) · 21 pages, 14 figures
arxiv created 2017/08/25 · arxiv updated 2018/06/26
We show that the classical model of Euler top (freely rotating, generally asymmetric rigid body), possibly supplemented with a rotor, corresponds to a generalized Lipkin-Meshkov-Glick (LMG) model describing phenomena of various branches of quantum physics. Classical effects such as free precession of a symmetric top, Feynman's wobbling plate, tennis-racket instability and the Dzhanibekov effect, attitude control of satellites by momentum wheels, or twisting somersault dynamics, have their counterparts in quantum effects that include spin squeezing by one-axis twisting and two-axis countertwisting, transitions between the Josephson and Rabi regimes of a Bose-Einstein condensate in a double-well potential, and other quantum critical phenomena. The parallels enable us to expand the range of explored quantum phase transitions in the generalized LMG model, as well as to present a classical analogy of the recently proposed LMG Floquet time crystal.