Transitionless quantum drivings for the harmonic oscillator
J. G. MugaDepartamento de Química-Física, UPV-EHU, Apdo 644, 48080 Bilbao, SpainXi ChenDepartamento de Química-Física, UPV-EHU, Apdo 644, 48080 Bilbao, SpainSara IbañezDepartamento de Química-Física, UPV-EHU, Apdo 644, 48080 Bilbao, SpainI. LizuainDepartamento de Química-Física, UPV-EHU, Apdo 644, 48080 Bilbao, SpainA. RuschhauptInstitut für Theoretische Physik, Leibniz Universität Hannover, Appelstraβe 2, 30167 Hannover, Germany
2010en
ABI
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Abstract\nTwo 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.
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