Observation of the Continuous Stern-Gerlach Effect on an Electron Bound in an Atomic Ion

Hermanspahn, N.; Häffner, H.; Kluge, H.-J.; Quint, W.; Ståhl, S.; Verdú, J.; Werth, G.

doi:10.1103/physrevlett.84.427

Cited by 111 publications

(92 citation statements)

References 20 publications

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“…The results of Metropolis for high temperatures are found to be in accordance with the Wang-Landau results. The complete behavior of c L reinforces the evidence that in this temperature region around 10 there is a crossover, whose transition temperature T c decreases as L −1 since for fixed N = 100 we obtain τ c ≈ 10 ⇒ T c ≈ 10g 2 k B L . The thermodynamic limit.…”

Section: Correlation Functions Concerning the Correlation Functions supporting

confidence: 61%

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Finite-temperature crossover from a crystalline to a cluster phase for a confined finite chain of ions

2013

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Employing Monte Carlo simulation techniques we investigate the statistical properties of equally charged particles confined in a one-dimensional box trap and detect a crossover from a crystalline to a cluster phase with increasing temperature. The corresponding transition temperature depends separately on the number of particles N and the box size L, implying nonextensivity due to the long-range character of the interactions. The probability density of the spacing between the particles exhibits at low temperatures an accumulation of discrete peaks with an overall asymmetric shape. In the vicinity of the transition temperature it is of a Gaussian form, whereas in the high-temperature regime an exponential decay is observed. The high-temperature behavior shows a cluster phase with a mean cluster size that first increases with the temperature and then saturates. The crossover is clearly identifiable also in the nonlinear behavior of the heat capacity with varying temperature. The influence of the trapping potential on the observed results as well as possible experimental realizations are briefly addressed.

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Section: Correlation Functions Concerning the Correlation Functions supporting

confidence: 61%

“…This is in particular due to the application of the dynamics of ionic systems to spectroscopy [1,2], the implementation of quantum simulations [3,4], and the realization of quantum information processors [5,6]. In this context many trapping methods [7][8][9][10][11] have been suggested.…”

Section: Introductionmentioning

confidence: 99%

Finite-temperature crossover from a crystalline to a cluster phase for a confined finite chain of ions

2013

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“…The reduced Hamiltonian depends only on the moments and it is directly integrable. Experiments with devices that modify the axial frequency by superimposing a quadratic magnetic field component on the homogeneous magnetic field of the Penning trap are reported in [6].…”

Section: Normalization Of a Hamiltonian Of Typementioning

confidence: 99%

“…Consequently, it has become one of the most versatile experimental devices in atomic and molecular physics [2][3][4][5]. Applications of the Penning trap are broad and have included tests of fundamental theories, e.g., of QED, and the determination of fundamental physical constants such as the fine structure constant [6][7][8]. As well as being useful for the study of isolated charged particles, as in the classic geonium experiment [9], modified Penning traps have been used with advantage to study single component plasmas.…”

Section: Introductionmentioning

confidence: 99%

Phase-space structure of the Penning trap with octupole perturbation

2002

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A Lie transformation is developed to study the structure of classical phase space for a perturbed Penning trap. In general, perturbations may result from imperfections or may be deliberately introduced into the system by the application of fields. We study the lowest order non-trivial perturbation in the trap, which is octupolar, using classical perturbation methods. The original three-degree-offreedom problem is reduced to a single degree of freedom by (i) symmetry arguments, (ii) generation of apt action-angle variables, and (iii) computation of the classical normal form. The phase space structure of the resulting normalized Hamiltonian, in the 1:1 resonance, is then analyzed. In the process we discover a saddle-node bifurcation. This approach provides for a global view of the reduced phase space, and, thereby, allows for a systematic study of the impact of several simultaneously applied perturbations.

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“…High-precision measurements of the bound-electron g-factor in H-like carbon [85,86] and oxygen [87] have stimulated successful theoretical calculations of this effect (see Refs. [88,89,90,91,92,93,94] and references therein).…”

Section: Bound-electron G-factormentioning

confidence: 99%

QED Effects in Heavy Few-Electron Ions

Shabaev

Yerokhin

Zherebtsov

et al. 2001

Atomic Physics at Accelerators: Mass Spectrometry

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Accurate calculations of the binding energies, the hyperfine splitting, the bound-electron g-factor, and the parity nonconservation effects in heavy few-electron ions are considered. The calculations include the relativistic, quantum electrodynamic (QED), electron-correlation, and nuclear effects. The theoretical results are compared with available experimental data. A special attention is focused on tests of QED in a strong Coulomb field.

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Observation of the Continuous Stern-Gerlach Effect on an Electron Bound in an Atomic Ion

Cited by 111 publications

References 20 publications

Finite-temperature crossover from a crystalline to a cluster phase for a confined finite chain of ions

Finite-temperature crossover from a crystalline to a cluster phase for a confined finite chain of ions

Phase-space structure of the Penning trap with octupole perturbation

QED Effects in Heavy Few-Electron Ions

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