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• W2897311782 abstract "We propose an ideal scheme for preparing vibrational $mathrm{SU(1,1)} otimes mathrm{SU(1,1)}$ states in a two-dimensional ion trap using red and blue second sideband resolved driving of two orthogonal vibrational modes. Symmetric and asymmetric driving provide two regimes to realize quantum state engineering of the vibrational modes. In one regime, we show that time evolution synthesizes so-called $mathrm{SU}(1,1)$ Perelomov coherent states, that is separable squeezed states and their superposition too. The other regime allows engineering of lossless 50/50 $mathrm{SU}(2)$ beam splitter states that are entangled states. These ideal dynamics are reversible, thus, the non-classical and entangled states produced by our schemes might be used as resources for interferometry." @default.
• W2897311782 created "2018-10-26" @default.
• W2897311782 creator A5030354174 @default.
• W2897311782 creator A5047992509 @default.
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• W2897311782 date "2018-10-19" @default.
• W2897311782 modified "2023-09-27" @default.
• W2897311782 title "Engineering $mathrm{SU}(1,1) otimes mathrm{SU}(1,1)$ vibrational states" @default.
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• W2897311782 hasPublicationYear "2018" @default.
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