TY - GEN
T1 - The role of singular control in frictionless atom cooling in a harmonic trapping potential
AU - Stefanatos, Dionisis
AU - Li, Shin
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84869448337&partnerID=8YFLogxK
U2 - 10.1109/acc.2012.6314974
DO - 10.1109/acc.2012.6314974
M3 - Conference contribution
AN - SCOPUS:84869448337
SN - 9781457710957
T3 - Proceedings of the American Control Conference
SP - 5061
EP - 5066
BT - 2012 American Control Conference, ACC 2012
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2012 American Control Conference, ACC 2012
Y2 - 27 June 2012 through 29 June 2012
ER -