Transitionless quantum drivings for the harmonic oscillator

J. G. Muga; X. Chen; S. Ibá̃ez; I. Lizuain; A. Ruschhaupt

doi:10.1088/0953-4075/43/8/085509

Transitionless quantum drivings for the harmonic oscillator

J. G. Muga
, X. Chen
, S. Ibá̃ez
, I. Lizuain
, A. Ruschhaupt

University of the Basque Country
Shanghai University
Leibniz University Hannover

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	085509
Journal	Journal of Physics B: Atomic, Molecular and Optical Physics
Volume	43
Issue number	8
DOIs	https://doi.org/10.1088/0953-4075/43/8/085509
Publication status	Published - 2010
Externally published	Yes

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10.1088/0953-4075/43/8/085509

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title = "Transitionless quantum drivings for the harmonic oscillator",

abstract = "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.",

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AU - Lizuain, I.

AU - Ruschhaupt, A.

PY - 2010

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AB - 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.

UR - https://www.scopus.com/pages/publications/77950904238

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DO - 10.1088/0953-4075/43/8/085509

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AN - SCOPUS:77950904238

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JO - Journal of Physics B: Atomic, Molecular and Optical Physics

JF - Journal of Physics B: Atomic, Molecular and Optical Physics

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Transitionless quantum drivings for the harmonic oscillator

Abstract

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