Publication:
Shortcuts to adiabaticity in three-level systems using Lie transforms

Thumbnail Image
Identifiers
URI: https://hdl.handle.net/10016/32132
ISSN: 1050-2947
DOI: http://dx.doi.org/10.1103/PhysRevA.89.053408
UXXI: AR/0000026556
Files
Shortcuts_PRA_2014.pdf (721.96 KB)
Publication date
2014-05
Defense date
Authors
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Impact
Google Scholar
Export
Research Projects
Organizational Units
Journal Issue
Abstract
Sped-up protocols that drive a system quickly to the same populations that can be reached by a slow adiabatic process may involve Hamiltonian terms which are difficult to realize. We use the dynamical symmetry of the Hamiltonian to find, by means of Lie transforms, alternative Hamiltonians that achieve the same goals without the problematic terms. We apply this technique to three-level systems (two interacting bosons in a double well, and beam splitters with two and three output channels) driven by Hamiltonians that belong to the four-dimensional algebra U3S3.
Description
Keywords
Bibliographic citation
Martínez-Garaot, S., Torrontegui, E., Chen, X. y Muga, J. G. (2014). Shortcuts to adiabaticity in three-level systems using Lie transforms. Physical Review A, 89(5).
Collections
DF - GMNEM - Artículos de revistas