Paper Info
Title
The role of singular control in frictionless atom cooling in a harmonic trapping potential
Abstract
In this article we study the frictionless cooling of atoms trapped in a harmonic potential, while minimizing the transient energy of the system. We show that in the case of unbounded control, this goal is achieved by a singular control, which is also the time-minimal solution for a “dual” problem, where the energy is held fixed. In addition, we examine briefly how the solution is modified when there are bounds on the control. The results presented here have a broad range of applications, from the cooling of a Bose-Einstein condensate confined in a harmonic trap to adiabatic quantum computing and finite time thermodynamic processes.
Year
DOI
Venue
2012
10.1109/ACC.2012.6314974
American Control Conference
Keywords
DocType
Volume
bose-einstein condensation,optimal control,quantum computing,thermodynamics,bose-einstein condensate,adiabatic quantum computing,dual problem time-minimal solution,finite time thermodynamic processes,frictionless atom cooling,harmonic trapping potential,singular control,transient energy minimization,dual problem,bose einstein condensate,adiabatic quantum computation,quantum physics
Conference
abs/1103.1
ISSN
ISBN
Citations 
0743-1619 E-ISBN : 978-1-4673-2102-0
978-1-4673-2102-0
0
PageRank 
References 
Authors
0.34
3
2
Name
Order
Citations
PageRank
Dionisis Stefanatos11812.46
Jr-Shin Li2199.18