Hamiltonian engineering via invariants and dynamical algebra

Torrontegui Muñoz, Erik; Martínez Garaot, S.; Muga, J. G.

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Hamiltonian engineering via invariants and dynamical algebra

Author(s): Torrontegui Muñoz, Erik; Martínez Garaot, S.; Muga, J. G.

Publisher: American Physical Society

Issued date: 2014-04-14

Citation: Physical Review A, (2014), 89(4), 043408.

ISSN: 1050-2947

DOI: http://dx.doi.org/10.1103/PhysRevA.89.043408

Sponsor: We are grateful to K. Takahashi and R. Kosloff for stimulating discussions. We acknowledge funding by Grants No. IT472-10 and No. FIS2009-12773-C02-01, and theUPV/EHU Program No. UFI 11/55. E.T. is supported by the Basque Government postdoctoral program. S.M.-G. acknowledges support from a UPV/EHU fellowship.

Keywords: Dynamical algebra , Shortcuts to adiabaticity , Dynamical invariants , Hamiltonian formulation

URI: http://hdl.handle.net/10016/32134

Abstract:

We use the dynamical algebra of a quantum system and its dynamical invariants to inverse engineer feasible Hamiltonians for implementing shortcuts to adiabaticity. These are speeded up processes that end up with the same populations as slow, adiabatic ones. As [+]

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