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Shortcuts to adiabaticity for non-Hermitian systems

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URI: https://hdl.handle.net/10016/32181
ISSN: 1050-2947
DOI: http://dx.doi.org/10.1103/PhysRevA.84.023415
DOI: https://doi.org/10.1103/PhysRevA.86.019901
UXXI: AR/0000026569
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Shortcuts_PRA_2011.pdf (434.18 KB)
Erratum_PRA_2012.pdf (45.24 KB)
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2011-08
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American Physical Society
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Abstract
Adiabatic processes driven by non-Hermitian, time-dependent Hamiltonians may be sped up by generalizing inverse engineering techniques based on counter-diabatic (transitionless driving) algorithms or on dynamical invariants. We work out the basic theory and examples described by two-level Hamiltonians: the acceleration of rapid adiabatic passage with a decaying excited level and of the dynamics of a classical particle on an expanding harmonic oscillator.
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Ibáñez, S., Martínez-Garaot, S., Chen, X., Torrontegui, E., Muga, J. G. (2012). Erratum: Shortcuts to adiabaticity for non-Hermitian systems [Phys. Rev. A84, 023415 (2011)]. Physical Review A, 86(1).
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Ibáñez, S., Martínez-Garaot, S., Chen, X., Torrontegui, E., Muga, J. G. (2011). Shortcuts to adiabaticity for non-Hermitian systems. Physical Review A, 84(2).
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