Transitionless quantum drivings for the harmonic oscillator

Two methods to change a quantum harmonic oscillator frequency without transitions in a finite time are described and compared. The first method, a transitionless-tracking algorithm, makes use of a generalized harmonic oscillator and a non-local potential. The second method, based on engineering an i...

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Veröffentlicht in:	Journal of physics. B, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2010-04, Vol.43 (8), p.085509-085509
Hauptverfasser:	Muga, J G, Chen, X, Ibáñez, S, Lizuain, I, Ruschhaupt, A
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Atom, molecule and ion trapping and colling methods Atomic and molecular physics Driving Exact sciences and technology Harmonic oscillators Harmonics Invariants Mathematical analysis Mechanical control of atoms, molecules and ions Physics
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Beschreibung
Zusammenfassung:	Two methods to change a quantum harmonic oscillator frequency without transitions in a finite time are described and compared. The first method, a transitionless-tracking algorithm, makes use of a generalized harmonic oscillator and a non-local potential. The second method, based on engineering an invariant of motion, only modifies the harmonic frequency in time, keeping the potential local at all times.
ISSN:	0953-4075 1361-6455
DOI:	10.1088/0953-4075/43/8/085509