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Open Quantum Systems Decoherence

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

arXiv

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

Year

2020

Paper ID

21859

Status

Preprint

Abstract Read

~2 min

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Abstract

Two-dimensional systems with time-dependent controls admit a quadratic Hamiltonian modelling 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 waveguides; and (ii) we design the state transfer from one coupled oscillator to another.

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Two-dimensional systems with time-dependent controls admit a quadratic Hamiltonian modelling near potential minima.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2007.15055 [2] arXiv https://arxiv.org/abs/2007.15055 [3] Publisher https://arxiv.org/abs/2007.15055

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