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

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Ikusi/Ireki
Data
2020-12-14
Egilea
Tobalina Novo, Ander ORCID
Torrontegui, E.
Lizuain Lilly, Ion
Palmero Lazcoz, Mikel
Muga Francisco, Juan Gonzalo
Metadata
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Physical Review A 102 : (2020) // Art.ID 063112
URI
http://hdl.handle.net/10810/64623
Laburpena
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.
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Published by the American Physical Society under the terms of the Creative Commons Attribution
Bestelakorik adierazi ezean, itemaren baimena horrela deskribatzen da:Published by the American Physical Society under the terms of the Creative Commons Attribution