Invariant-based inverse engineering of time-dependent, coupled harmonic oscillators

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Invariant-based inverse engineering of time-dependent, coupled harmonic oscillators

Author(s): Tobalina, Ander; Torrontegui Muñoz, Erik; Lizuain, Ion; Palmero, Mikel; Muga, Juan Gonzalo
Publisher: American Physical Society
Issued date: 2020-12
Citation: Tobalina, A., Torrontegui, E., Lizuain, I., Palmero, M. & Muga, J. G. (2020). Invariant-based inverse engineering of time-dependent, coupled harmonic oscillators. Physical Review A, 102(6).
ISSN: 2469-9926
DOI: https://doi.org/10.1103/PhysRevA.102.063112
xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Comunidad de Madrid
Ministerio de Ciencia e Innovación (España)
Sponsor: This work was supported by the Basque Country Government (Grant No. IT986-16), and by PGC2018-101355-B-I00 (MCIU/AEI/FEDER,UE). E.T. acknowledges support from PGC2018-094792-B-I00 (MCIU/AEI/FEDER,UE), CSIC Research Platform PTI-001, and CAM/FEDER No. S2018/TCS-4342 (QUITEMAD-CM).
Project: Comunidad de Madrid. S2018/TCS-4342
Gobierno de España. PGC2018-101355-B-I00
Gobierno de España. PGC2018-094792-B-I00
URI: http://hdl.handle.net/10016/32331
Rights: ©2020 by the authors
Atribución 3.0 España
©2020 by the authors

Abstract:

Two-dimensional (2D) systems with time-dependent controls admit a quadratic Hamiltonian modeling near potential minima. Independent, dynamical normal modes facilitate inverse Hamiltonian engineering to control the system dynamics, but some systems are not sepa [+]

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