Addressing single trapped ions for Rydberg quantum logic

Bachor, P.; Feldker, T.; Walz, J.; Schmidt‐Kaler, F.

doi:10.1088/0953-4075/49/15/154004

Cited by 18 publications

(25 citation statements)

References 31 publications

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“…We exclude the values of reference [43] for the following reason. If we take the ionization energy from reference [43] and the quantum defect from the correlated fit to our experimental data, we would get 120 GHz deviations of the predicted Rydberg energies from the measured values of the P and F states in this work and in references [11,21]. This deviation is about two orders of magnitude larger than the uncertainties reported.…”

Section: Determination Of Quantum Defects and Ionization Energymentioning

confidence: 62%

“…For the Pseries quantum defect, we have compared our results to the experimental data reported in reference [43]. In this case, we calculated the P-series quantum defect for the centre of gravity of the n P 1/2 and n P 3/2 states, since the fine-structure splitting was not resolved in that mea- [11,19,21] are used in combination with the 23 P transition energy reported here, see table II and text for details.…”

Section: Determination Of Quantum Defects and Ionization Energymentioning

confidence: 99%

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Determination of quantum defect for the Rydberg P series of Ca II

Mokhberi

Vogel

Andrijauskas

et al. 2019

J. Phys. B: At. Mol. Opt. Phys.

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We present an experimental investigation of the Rydberg 23 P 1/2 state of single, laser-cooled 40 Ca + ions in a radiofrequency ion trap. Using micromotion sideband spectroscopy on a narrow quadrupole transition, the oscillating electric field at the ion position was precisely characterised, and the modulation of the Ryd-berg transition due to this field was minimised. From a correlated fit to this P line and previously measured P and F level energies of Ca II, we have determined the ionization energy of 95 751.916(32) cm −1 , in agreement with the accepted value, and the quantum defect for the n P 1/2 states.

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Section: Determination Of Quantum Defects and Ionization Energymentioning

confidence: 62%

Section: Determination Of Quantum Defects and Ionization Energymentioning

confidence: 99%

Determination of quantum defect for the Rydberg P series of Ca II

Mokhberi

Vogel

Andrijauskas

et al. 2019

J. Phys. B: At. Mol. Opt. Phys.

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show abstract

“…The equation is intended for the modelling of dipolar systems in which static dipole-dipole interactions are strong compared with the coupling to transverse radiation. This situation can arise in systems of Rydberg atoms and other molecular systems [10][11][12][13][14][15][16][17][18][19][20][21][22][23][41][42][43][44].…”

Section: Discussionmentioning

confidence: 99%

“…An important class of systems strongly coupled by dipole-dipole interactions are Rydberg atoms, which have been of interest for some time [10]. In recent years dipole-dipole interactions of Ryberg atoms have been the subject of numerous experimental and theoretical works [11][12][13][14][15][16][17][18][19][20][21][22][23]. Recently the first experimental confirmation of Förster resonant energy transfer was demonstrated using two Rydberg atoms separated by 15 μm [14].…”

Section: Introductionmentioning

confidence: 99%

A master equation for strongly interacting dipoles

Stokes

Nazir

2018

New J. Phys.

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We consider a pair of dipoles such as Rydberg atoms for which direct electrostatic dipole-dipole interactions may be significantly larger than the coupling to transverse radiation. We derive a master equation using the Coulomb gauge, which naturally enables us to include the inter-dipole Coulomb energy within the system Hamiltonian rather than the interaction. In contrast, the standard master equation for a two-dipole system, which depends entirely on well-known gauge-invariant S-matrix elements, is usually derived using the multipolar gauge, wherein there is no explicit inter-dipole Coulomb interaction. We show using a generalised arbitrary-gauge light-matter Hamiltonian that this master equation is obtained in other gauges only if the inter-dipole Coulomb interaction is kept within the interaction Hamiltonian rather than the unperturbed part as in our derivation. Thus, our master equation depends on different S-matrix elements, which give separation-dependent corrections to the standard matrix elements describing resonant energy transfer and collective decay. The two master equations coincide in the large separation limit where static couplings are negligible. We provide an application of our master equation by finding separation-dependent corrections to the natural emission spectrum of the two-dipole system.

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“…Trapped ion quantum simulators can be further enhanced by exciting ions to highly-lying Rydberg states. Such Rydberg ions, which were initially proposed by Müller et al [31,32] and recently experimentally realized [33][34][35][36], bear the promise to overcome current scalability limitation of trapped ions setups in quantum information applications [7,37,38]. Furthermore, the exaggerated properties of Rydberg states [39][40][41][42] permit the realization of fast quantum gates and, more generally, the implementation and simulation of many-body spin models [43][44][45].…”

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confidence: 99%

Exploring nonequilibrium phases of the generalized Dicke model with a trapped Rydberg-ion quantum simulator

Gambetta

Lesanovsky

2019

Phys. Rev. A

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Trapped ions are a versatile platform for the investigation of quantum many-body phenomena, in particular for the study of scenarios where long-range interactions are mediated by phonons. Recent experiments have shown that the trapped ion platform can be augmented by exciting high-lying Rydberg states. This introduces controllable state-dependent interactions that are independent from the phonon structure. However, the manybody physics in this newly accessible regime is largely unexplored. We show that this system grants access to generalized Dicke model physics, where dipolar interactions between ions in Rydberg states drastically alter the collective non-equilibrium behavior. We analyze and classify the emerging dynamical phases and identify a host of non-equilibrium signatures such as multi-phase coexistence regions and phonon-lasing regimes. We moreover show how they can be detected and characterized through the fluorescence signal of scattered photons. Our study thus highlights new capabilities of trapped Rydberg ion systems for creating and detecting quantum non-equilibrium phases. arXiv:1902.11099v1 [cond-mat.stat-mech]

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Addressing single trapped ions for Rydberg quantum logic

Cited by 18 publications

References 31 publications

Determination of quantum defect for the Rydberg P series of Ca II

Determination of quantum defect for the Rydberg P series of Ca II

A master equation for strongly interacting dipoles

Exploring nonequilibrium phases of the generalized Dicke model with a trapped Rydberg-ion quantum simulator

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