Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

IEEE Lasers and Electro-Optics Society Annual Meeting (LEOS)

Quantum state preparation and measurement

P. J. Bardroff, C. Leichtle, G. Schrade, W. P. Schleich

Published Jan 1, 1996• 21 citations
Publisher

Abstract

Summary form only given. The recent experimental generation of nonclassical states of the motion of an ion in a Paul trap has propelled the field of quantum state preparation into a new era. But how to prove that the ion is indeed in a Fock, a squeezed, or a Schrodinger cat state? How can we measure a motional state which, due to the explicit time dependence of the binding force of the Paul trap, displays a complicated time dependence? In this paper we present the first method that measures a vibratory state of an ion taking into account the complete time dependence of the Paul trap. Moreover our technique operates outside the Lamb-Dicke regime and is not limited to pure states only.

DOI
10.1109/leos.1996.571910

Related papers

Endoscopy in the Paul Trap: Measurement of the Vibratory Quantum State of a Single Ion

P. J. Bardroff, C. Leichtle, G. Schrade +1 more

We reconstruct the density operator of the center-of-mass motion of an ion stored in a Paul trap by mapping the dynamics of the motion onto the internal dynamics of the ion. Our technique takes into account the explicit time dependence of the trap potential, operates outside the Lamb-Dicke limit, and is not restricted to pure states. We demonstrate the feasibility of this method using the example of a damped Schr\"odinger cat state.

Physical Review Letters•Sep 9, 1996•99 citations

Experimental preparation and measurement of quantum states of motion of a trapped atom

Dietrich G. Leibfried, D. M. Meekhof, Christopher R. Monroe +3 more

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.

Journal of Modern Optics•Nov 1, 1997•13 citations

Experimental preparation and measurement of quantum states of motion of a trapped atom

Dietrich G. Leibfried, D. M. Meekhof, Christopher R. Monroe +3 more

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.

•Jan 1, 1997•0 citations

Experimental preparation and measurement of quantum states of motion of a trapped atom

Dietrich G. Leibfried, D. M. Meekhof, Christopher R. Monroe +3 more

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.

Journal of Modern Optics•Nov 1, 1997•74 citations

Nonclassical motional states of a trapped atom

David J. Wineland, D. M. Meekhof, Christopher R. Monroe +3 more

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.

Quantum Electronics and Laser Science Conference•Jun 7, 1996•0 citations

Quantum motion of trapped ions

R. Blatt, J. I. Cirac, A. S. Parkins +1 more

A single ion trapped in a harmonic potential and laser cooled at the node of a standing wave can be described in terms of the Jaynes-Cummings Hamiltonian known in quantum optics. Similar to nonclassical states of light we propose to prepare nonclassical states of the ion motion in a harmonic trap. In particular, several schemes for the preparation of Fock states are presented, and techniques for the preparation of squeezed states and coherent states of the ion motion are indicated. For an observation of these nonclassical states we propose to measure quantum collapse and revival in the population inversion of a single trapped ion.

Physica Scripta•Jan 1, 1995•10 citations
Summary form only given. The recent experimental generation of nonclassical states of the motion of an ion in a Paul trap has propelled the field of quantum state preparation into a new era. But how to prove that the ion is indeed in a Fock, a squeezed, or a Schrodinger cat state? How can we measure a motional state which, due to the explicit time dependence of the binding force of the Paul trap, displays a complicated time dependence? In this paper we present the first method that measures a vibratory state of an ion taking into account the complete time dependence of the Paul trap. Moreover our technique operates outside the Lamb-Dicke regime and is not limited to pure states only.
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 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.
A single ion trapped in a harmonic potential and laser cooled at the node of a standing wave can be described in terms of the Jaynes-Cummings Hamiltonian known in quantum optics. Similar to nonclassical states of light we propose to prepare nonclassical states of the ion motion in a harmonic trap. In particular, several schemes for the preparation of Fock states are presented, and techniques for the preparation of squeezed states and coherent states of the ion motion are indicated. For an observation of these nonclassical states we propose to measure quantum collapse and revival in the population inversion of a single trapped ion.