Invariant-based Inverse Engineering Of Time-dependent, Coupled Harmonic Oscillators

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

Authors: Tobalina, A.; Torrontegui, E.; Lizuain, I; Palmero, M.; Muga, J. G.

Contribution: Article

Journal: PHYSICAL REVIEW A

Publication date: 2020/12/14

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 separable into independent modes by a point transformation. For these “coupled systems” 2D invariants may still guide the Hamiltonian design. The theory to perform the inversion and two application examples are provided: (i) We control the deflection of wave packets in transversally harmonic wave guides and (ii) we design the state transfer from one coupled oscillator to another.

About the Author: Marcelo Castellanos

Marcelo Castellanos desempeña su actividad en el Instituto de Física Fundamental del CSIC. Ha sido becario de la FGUAM y profesor ayudante en la Facultad de Ciencias de la Universidad Autónoma de Madrid (1998 - 2003). Defendió su tesis doctoral en la UAM en el campo de la Astrofísica Extragaláctica (2001). Ha sido investigador postdoctoral en el CNRS (Toulouse) entre 2003 y 2005. Tras un tiempo de experiencia en el sector privado (2005-2006), ha sido facilitador/”doer”/burócrata/gestor en 3 grandes proyectos de investigación en Astrofísica Molecular, Física Química y Nanociencia (ASTROCAM - Ref.: S-.0505/ESP/000237 entre 2006 y 2009; Consolider-Ingenio ASTROMOL - Ref.: CSD2009-00038 entre 2009 y 2016 y ERC Synergy Grant NANOCOSMOS - Ref.: GA 610256 entre 2014 y 2021). Contacto: Perfil en Linkedin: www.linkedin.com/in/marceloc26569a6 Bluesky: @mcastellanosb1508.bsky.social

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

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About the Author: Marcelo Castellanos