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Quantum Electronics and Laser Science Conference

Nonclassical motional states of a trapped atom

David J. Wineland, D. M. Meekhof, Christopher R. Monroe, Brian King, Wayne M. Itano, Dietrich G. Leibfried

Published Jun 7, 1996• 0 citations
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Abstract

Summary form only given. We report the creation of thermal, Fock, coherent, squeezed, and Schrodinger cat states of motion of a single /sup 9/Be/sup +/ atomic ion that is confined in a Paul-rf trap. The thermal state of motion is created by Doppler cooling on the 313 nm transition. The other states are coherently prepared from an ion that has first been placed in the zero-point motional state through resolved sideband laser cooling by use of stimulated Raman transitions.

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We report the creation of thermal, Fock, coherent, and squeezed states of motion of a harmonically bound 9 Be + ion. The last three states are coherently prepared from an ion which has been initially laser-cooled to the zero-point of motion. The ion is trapped in the regime where the coupling between its motional and internal states, due to applied (classical) radiation, can be described by a Jaynes-Cummings-type interaction. With this coupling, the evolution of the internal atomic state provides a signature of the number state distribution of the motion. PACS numbers:42.50.Vk, 32.80.Pj, 32.80.Qk Typeset using REVT E X Nonclassical states of the harmonic oscillator associated with a single mode of the radiation field (for example, squeezed states) have been a subject of considerable interest. One method for analyzing these states has been through the dynamics of a single, two-level atom which radiatively couples to the single mode radiation field. This system, described by the Ja...

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Conference on Lasers and Electro-Optics•Aug 29, 2005•1 citation
Summary form only given. We report the creation of thermal, Fock, coherent, squeezed, and Schrodinger cat states of motion of a single /sup 9/Be/sup +/ atomic ion that is confined in a Paul-rf trap. The thermal state of motion is created by Doppler cooling on the 313 nm transition. The other states are coherently prepared from an ion that has first been placed in the zero-point motional state through resolved sideband laser cooling by use of stimulated Raman transitions.
We report the creation and full determination of several quantum states of motion of a 9Be+ ion bound in a RF (Paul) trap. The states are coherently prepared from an ion which has been initially laser cooled to the zero-point of motion. We create states having both classical and non-classical character including thermal, number, coherent, squeezed, and ‚Schrödinger cat‘ states. The motional quantum state is fully reconstructed using two novel schemes that determine the density matrix in the number state basis or the Wigner function. Our techniques allow well controlled experiments decoherence and related phenomena on the quantum-classical borderline.
We report the creation and full determination of several quantum states of motion of a 9Be+ ion bound in a RF (Paul) trap. The states are coherently prepared from an ion which has been initially laser cooled to the zero-point of motion. We create states having both classical and non-classical character including thermal, number, coherent, squeezed, and ‚Schrödinger cat‘ states. The motional quantum state is fully reconstructed using two novel schemes that determine the density matrix in the number state basis or the Wigner function. Our techniques allow well controlled experiments decoherence and related phenomena on the quantum-classical borderline.
Abstract : We report the creation and full determination of several quantum states of motion of a 9Be ion bound in a RF (Paul) trap. The states are coherently prepared from an ion which has been initially laser cooled to the zero-point of motion. We create states having both classical and non-classical character including thermal, number, coherent, squeezed, and Schrodinger cat states. The motional quantum state is fully reconstructed using two novel schemes that determine the density matrix in the number state basis or the Wigner function. Our techniques allow well controlled experiments decoherence and related phenomena on the quantum-classical borderline.
We report the creation of thermal, Fock, coherent, and squeezed states of motion of a harmonically bound 9Be+{}^{9}{\mathrm{Be}}^{+}9Be+ ion. The last three states are coherently prepared from an ion which has been initially laser cooled to the zero point of motion. The ion is trapped in the regime where the coupling between its motional and internal states, due to applied (classical) radiation, can be described by a Jaynes-Cummings-type interaction. With this coupling, the evolution of the internal atomic state provides a signature of the number state distribution of the motion.
We report the creation of thermal, Fock, coherent, and squeezed states of motion of a harmonically bound 9 Be + ion. The last three states are coherently prepared from an ion which has been initially laser-cooled to the zero-point of motion. The ion is trapped in the regime where the coupling between its motional and internal states, due to applied (classical) radiation, can be described by a Jaynes-Cummings-type interaction. With this coupling, the evolution of the internal atomic state provides a signature of the number state distribution of the motion. PACS numbers:42.50.Vk, 32.80.Pj, 32.80.Qk Typeset using REVT E X Nonclassical states of the harmonic oscillator associated with a single mode of the radiation field (for example, squeezed states) have been a subject of considerable interest. One method for analyzing these states has been through the dynamics of a single, two-level atom which radiatively couples to the single mode radiation field. This system, described by the Ja...
Summary form only given. Single ions in Paul traps are investigated for quantum information processing. Superpositions of the S/sub 1/2/ and the D/sub 5/2/ states are used to implement a qubit. Single /sup 40/Ca/sup +/ ions are either held in a spherical Paul trap or alternatively, in a linear Paul trap. The ions are optically cooled and fluorescence light at 397 nm on the S/sub 1/2/-P/sub 1/2/ transition is monitored for a state measurement by the electron shelving technique. The S/sub 1/2/-D/sub 5/2/ quadrupole transition at 729 nm is excited for sideband cooling and for quantum state preparation. Individual ions in a linear string are addressed by a tightly focused 729 nm laser beam. In the spherical Paul trap (4.5 MHz trap frequency) a single Ca/sup +/ ion has been cooled to the ground state of vibration with a probability of up to 99.9%. Starting from this Fock state |n=0> coherent quantum state manipulation on the S/sub 1/2/-D/sub 5/2/ transition is achieved.