Showing papers by "Rainer Blatt published in 1994"
TL;DR: In this article, a two-level ion can acquire decay rates that are smaller than the trap frequency, such that sideband cooling becomes possible and accordingly allows cooling of the ion to its lowest oscillator state in the trap.
Abstract: Laser cooling of three-level ions of the cascade, vee, and lambda configuration is considered with simultaneous excitation on a weak and strong transition. Choosing appropriate parameters for the Rabi frequencies and the respective detunings allows one to eliminate adiabatically one of the levels. The thus designed two-level ion can acquire decay rates \ensuremath{\Gamma}' smaller than the trap frequency \ensuremath{
u} such that sideband cooling becomes possible and accordingly allows cooling of the ion to its lowest oscillator state 〈n〉=0 in the trap. Explicit expressions for the detunings and the Rabi frequencies for sideband cooling of the effective two-level system are derived.
100 citations
TL;DR: A technique to measure quantum collapse and revival in the population inversion of a single trapped ion is proposed, and it is shown that this method is uniquely suited for the measurement of final temperatures of the trapped ion as well as for the analysis of nonclassical states of the ion motion.
Abstract: Within certain limits, the dynamics of a single trapped ion oscillating about the node of a standing-wave light field is described by the Jaynes-Cummings model, which is routinely used for cavity-QED experiments. We propose a technique to measure quantum collapse and revival in the population inversion of a single trapped ion, and show that this method is uniquely suited for the measurement of final temperatures of the trapped ion as well as for the analysis of nonclassical states of the ion motion, such as Fock and squeezed states. The results are discussed with particular consideration given to the effects of a finite laser bandwidth.
96 citations
TL;DR: Laser cooling of a single trapped ion in a Paul trap is discussed theoretically in the Lamb-Dicke limit, with full consideration of the time dependence of the trapping potential.
Abstract: Laser cooling of a single trapped ion in a Paul trap is discussed theoretically in the Lamb-Dicke limit, with full consideration of the time dependence of the trapping potential. Resulting mean kinetic energies are defined as time averages over one period of the micromotion and are compared with final temperatures expected from the laser cooling treatment with harmonic traps. For laser-atom detunings close to the micromotion frequency the results differ significantly from those expected for a harmonic trap potential. A physical interpretation is given and simple formulas are derived for the strong confinement case.
74 citations
TL;DR: In this paper, a scheme for the preparation of nonclassical states of motion in a three-dimensional harmonic ion trap is proposed based on adiabatic passage along dressed energy levels of the strongly coupled ion-trap system by varying the laser frequency.
Abstract: A scheme for the preparation of nonclassical states of motion in a three-dimensional harmonic ion trap is proposed. The technique is based on adiabatic passage along dressed energy levels of the strongly coupled ion-trap system by varying the laser frequency.
58 citations
TL;DR: Confinement of ion clouds in an rf octupole ion trap is investigated with particular emphasis on the trapping stability, which is position dependent.
Abstract: Confinement of ion clouds in an rf octupole ion trap is investigated with particular emphasis on the trapping stability, which is position dependent Excitation spectra of trapped clouds of ${\mathrm{Ba}}^{+}$ ions are observed, and the kinetic energy of ion clouds is derived The spatial extension of ion clouds is measured, providing the basis for an experimental study of the trapping stability For ion clouds in an rf octupole trap the mean kinetic energy is smaller and the spatial extension is larger than in comparable Paul traps
20 citations
Proceedings Article•
08 May 1994TL;DR: The ground-state hyperfine transitions of trapped clouds of 9Be+, 201Hg+, and 171Yb ions have been made control microwave oscillators as mentioned in this paper, and the frequency stability of these atomic clocks exceeds that of a primary Cs frequency standard in the short-term regime and that of the hydrogen maser for long times.
Abstract: The ground-state hyperfine transitions of trapped clouds of 9Be+, 201Hg+, and 171Yb ions have been made control microwave oscillators.1-5 The frequency stability of these atomic clocks exceeds that of a primary Cs frequency standard in the short-term regime and that of a hydrogen maser for long times. Systematic perturbations derive from the members of the cloud being placed in an inhomogeneous field and showing residual motion. A single cold ion kept in the field node of an electrodynamic trap lacks these perturbations. The precise control of a standard frequency requires a narrow and weak transition whose resonance can be hardly detected by observation of the fluorescence on this line.
12 citations
TL;DR: In this article, the frequency difference between the observed lines and an eigenfrequency of a high-finesse cavity mode is derived from a measurement of the cavity's free spectral range taking into account the cavity dispersion due to phase shifts in the dielectric mirror coatings.
Abstract: Precision spectroscopy on molecular tellurium is performed by measuring the frequency difference between the observed lines and an eigenfrequency of a high-finesse cavity mode. The mode frequency is derived from a measurement of the cavity's free spectral range taking into account the cavity dispersion due to phase shifts in the dielectric mirror coatings. The experimental technique is based on dual frequency modulation and is applied to determine the transition wavenumbers of several lines in130Te2 near 467 nm with an uncertainty of 2 × 10−8.
10 citations
01 Aug 1994
TL;DR: In this paper, the authors summarized and discussed new developments in spectroscopy and quantum optics with stored ions, and proposed cooling techniques for ion trap devices, with particular emphasis on time and frequency standards.
Abstract: New developments in spectroscopy and quantum optics with stored ions are summarized and discussed. Currently used ion trap devices are briefly described, and newly proposed cooling techniques are indicated. Recent results in precision spectroscopy are reviewed with particular emphasis on time and frequency standards. New applications of stored ions in the field of quantum optics are proposed such as the preparation of nonclassical states of motion in an ion trap. These can be detected by observation of the quantum collapse and revival phenomenon.
3 citations
Proceedings Article•
08 May 1994
1 citations
01 Jan 1994
TL;DR: In this article, a novel scheme for the preparation of non-classical states of motion in a three-dimensional harmonic ion trap is proposed, based on adiabatic passage along dressed energy levels of the strongly coupled ion + trap system by varying the laser frequency.
Abstract: A novel scheme for the preparation of non-classical states of motion in a three-dimensional harmonic ion trap is proposed. The technique is based on adiabatic passage along dressed energy levels of the strongly coupled ion + trap system by varying the laser frequency. For an observation of these non-classical states we propose to measure quantum collapse and revival in the population inversion of a single trapped ion.
27 Jun 1994
TL;DR: In this article, the maximum rate of intermittent quenching the fluorescence on a resonance line was shown to be at the same rate as on a weak signal line of a single cold ion, and the S/sub 1/2 /-D/sub 5/2/ quadrupole line of /sup 138/Ba/sup +/ with less than 10/sup -16/ inaccuracy.
Abstract: Resonance on a weak signal line of a single cold ion appears at the maximum rate of intermittent quenching the fluorescence on a resonance line: The m=0/spl rarr/0 ground state hyperfine transition of a single /sup 171/Yb/sup +/ and the S/sub 1/2 /-D/sub 5/2/ quadrupole line of /sup 138/Ba/sup +/ may control a 12.6-GHz oscillator or 1.76-/spl mu/m laser, respectively, with less than 10/sup -16/ inaccuracy. >