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Diederich, Marc; Häffner, H.; Hermanspahn, N.; Immel, M.; Kluge, H. J.; Ley, R.; Mann, Robert B.; Quint, W.; Ståhl, S.; Werth, G.

doi:10.1023/a:1012665109427

Cited by 25 publications

(14 citation statements)

References 14 publications

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“…We have developed an experimental setup which was employed to investigate the g J factor of 12 C 51 [9,10]. A single ion is stored in the strong magnetic field ͑ഠ4 T͒ of a Penning trap [11], where the confinement in the radial direction is performed by the magnetic field and the axial trapping is achieved by an electric field.…”

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confidence: 99%

High-Accuracy Measurement of the Magnetic Moment Anomaly of the Electron Bound in Hydrogenlike Carbon

et al. 2000

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We present a new experimental value for the magnetic moment of the electron bound in hydrogenlike carbon (12C5+): g(exp) = 2.001 041 596 (5). This is the most precise determination of an atomic g(J) factor so far. The experiment was carried out on a single 12C5+ ion stored in a Penning trap. The high accuracy was made possible by spatially separating the induction of spin flips and the analysis of the spin direction. The current theoretical value amounts to g(th) = 2.001 041 591 (7). Together experiment and theory test the bound-state QED contributions to the g(J) factor of a bound electron to a precision of 1%.

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confidence: 99%

High-Accuracy Measurement of the Magnetic Moment Anomaly of the Electron Bound in Hydrogenlike Carbon

et al. 2000

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“…We assume T ¼ 0.4 K, a typical base temperature for 3 He refrigerators. The effect of the collisions with the background gas is small for a background pressure in the 10 −14 torr range, accessible in a cryogenic environment [141,142]. We must also include in the loss mechanisms the contamination by elliptical states due to the dipoledipole interaction, photoionization (which turns out to be quite negligible for circular states), or the elastic diffusion of trapping-lasers photons.…”

Section: A Circular Atom Lifetimementioning

confidence: 99%

“…We infer an orderof-magnitude estimate σ c ≃ 50000a 2 0 for j50Ci, about 10 times the geometric cross section. The collision lifetime is thus 400 s at a gas density 2 × 10 11 m −3 , corresponding to 2.6 × 10 −14 mbar at 1 K. Such vacuum conditions can be met easily in a cryogenic environment [141,142] because of the intense cryopumping by all surfaces around the atoms.…”

Section: Appendix C: Loss Mechanismsmentioning

confidence: 99%

Towards quantum simulations with circular Rydberg atoms

Nguyen

Cantat-Moltrecht

Cortiñas

et al. 2017

2017 Conference on Lasers and Electro-Optics Europe &Amp; European Quantum Electronics Conference (CLEO/Europe-EQEC)

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The main objective of quantum simulation is an in-depth understanding of many-body physics, which is important for fundamental issues (quantum phase transitions, transport, …) and for the development of innovative materials. Analytic approaches to many-body systems are limited, and the huge size of their Hilbert space makes numerical simulations on classical computers intractable. A quantum simulator avoids these limitations by transcribing the system of interest into another, with the same dynamics but with interaction parameters under control and with experimental access to all relevant observables. Quantum simulation of spin systems is being explored with trapped ions, neutral atoms, and superconducting devices. We propose here a new paradigm for quantum simulation of spin-1=2 arrays, providing unprecedented flexibility and allowing one to explore domains beyond the reach of other platforms. It is based on laser-trapped circular Rydberg atoms. Their long intrinsic lifetimes, combined with the inhibition of their microwave spontaneous emission and their low sensitivity to collisions and photoionization, make trapping lifetimes in the minute range realistic with state-of-the-art techniques. Ultracold defect-free circular atom chains can be prepared by a variant of the evaporative cooling method. This method also leads to the detection of arbitrary spin observables with single-site resolution. The proposed simulator realizes an XXZ spin-1=2 Hamiltonian with nearest-neighbor couplings ranging from a few to tens of kilohertz. All the model parameters can be dynamically tuned at will, making a large range of simulations accessible. The system evolution can be followed over times in the range of seconds, long enough to be relevant for ground-state adiabatic preparation and for the study of thermalization, disorder, or Floquet time crystals. The proposed platform already presents unrivaled features for quantum simulation of regular spin chains. We discuss extensions towards more general quantum simulations of interacting spin systems with full control on individual interactions.

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“…and the frequencies ω c0 ≡ (|e|B c )/m e , ω m0 ≡ ω 2 z /2ω c0 , ω s0 ≡ (gω c0 )/2. In Hamiltonian (18) we have also redefined the equilibrium position of the electron in the z-direction, as a consequence of the shifts due to the zero point energy of the cyclotron and magnetron oscillators.…”

Section: A the Magnetic Gradientmentioning

confidence: 99%

Array of planar Penning traps as a nuclear magnetic resonance molecule for quantum computation

et al. 2005

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An array of planar Penning traps, holding single electrons, can realize an artificial molecule suitable for NMR-like quantum-information processing. The effective spin-spin coupling is accomplished by applying a magnetic field gradient, combined to the Coulomb interaction acting between the charged particles. The system lends itself to scalability, since the same substrate can easily accommodate an arbitrary number of traps. Moreover, the coupling strength is tunable and under experimental control. Our theoretical predictions take into account a realistic setting, within the reach of current technology

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Cited by 25 publications

References 14 publications

High-Accuracy Measurement of the Magnetic Moment Anomaly of the Electron Bound in Hydrogenlike Carbon

High-Accuracy Measurement of the Magnetic Moment Anomaly of the Electron Bound in Hydrogenlike Carbon

Towards quantum simulations with circular Rydberg atoms

Array of planar Penning traps as a nuclear magnetic resonance molecule for quantum computation

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