scholarly journals Permuting quantum eigenmodes by a quasi-adiabatic motion of a potential wall

2020 ◽  
Vol 61 (10) ◽  
pp. 101511
Author(s):  
Alessandro Duca ◽  
Romain Joly ◽  
Dmitry Turaev
Keyword(s):  
Adiabatic Motion

scholarly journals The Adiabatic Motion of Charged Particles

Physics Today ◽  
1964 ◽  
Vol 17 (4) ◽  
pp. 80-80
Author(s):  
Theodore G. Northrop ◽  
R. E. Marshak ◽  
Ernest P. Gray
Keyword(s):  
Charged Particles ◽  
Adiabatic Motion

5.—Adiabatic Motion in a Charged Particle Trap

1972 ◽  
Vol 70 ◽  
pp. 47-61 ◽  
Author(s):  
J. Byrne
Keyword(s):  
Charged Particle ◽  
Electromagnetic Fields ◽  
Jacobi Equation ◽  
Charged Particles ◽  
Adiabatic Invariants ◽  
Reflection Symmetry ◽  
Adiabatic Conditions ◽  
Adiabatic Motion ◽  
Particle Trap ◽  
Hamilton Jacobi Equation

SynopsisThe adiabatic invariants associated with the motion of charged particles, trapped in electromagnetic fields with rotational and reflection symmetry, have been studied using classical methods based on the Hamilton-Jacobi equation. It has been shown that results, valid for trapping in purely magnetic configurations, may be applied in the analysis of electromagnetic charged particle traps, provided that suitably modified expressions are used for the angular frequencies in the various dynamical modes. Attention is drawn to circumstances in which the adiabatic conditions may be violated because of cancellation of electric and magnetic terms in the equations.

scholarly journals Entropy Production Within a Pulsed Bose–Einstein Condensate

2016 ◽  
Vol 71 (10) ◽  
pp. 875-881 ◽  
Author(s):  
Christoph Heinisch ◽  
Martin Holthaus
Keyword(s):  
Einstein Condensate ◽  
Many Body ◽  
Initial State ◽  
Site Model ◽  
Bose Einstein Condensate ◽  
Body Dynamics ◽  
Adiabatic Motion ◽  
The Many ◽  
Bose Einstein ◽  
Loss Of Coherence

AbstractWe suggest to subject anharmonically trapped Bose–Einstein condensates to sinusoidal forcing with a smooth, slowly changing envelope, and to measure the coherence of the system after such pulses. In a series of measurements with successively increased maximum forcing strength, one then expects an adiabatic return of the condensate to its initial state as long as the pulses remain sufficiently weak. In contrast, once the maximum driving amplitude exceeds a certain critical value there should be a drastic loss of coherence, reflecting significant heating induced by the pulse. This predicted experimental signature is traced to the loss of an effective adiabatic invariant, and to the ensuing breakdown of adiabatic motion of the system’s Floquet state when the many-body dynamics become chaotic. Our scenario is illustrated with the help of a two-site model of a forced bosonic Josephson junction, but should also hold for other, experimentally accessible configurations.

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