Atom-ion quantum gate

Doerk, H.; Idziaszek, Zbigniew; Calarco, Tommaso

doi:10.1103/physreva.81.012708

Cited by 108 publications

(139 citation statements)

References 26 publications

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“…Furthermore, such systems lend themselves to applications in quantum information processing. Exploiting the state-dependent atom-ion interaction allows for the realization of quantum gates such * jschurer@physnet.uni-hamburg.de that the advantages of charged and neutral particles are combined [17] or makes it possible to control the tunneling in a bosonic Josephson junction such that the generation of entanglement between the atomic system and a single ion can be engineered [18,19]. Moreover, such systems offer possibilities to investigate and understand spin-decoherence processes and spin-exchange interactions at the fundamental level [20], aiming at negligible spin relaxation and efficient spin-exchange as desirable features for quantum information science.…”

Section: Introductionmentioning

confidence: 99%

Ground-state properties of ultracold trapped bosons with an immersed ionic impurity

2014

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We consider a trapped atomic ensemble of interacting bosons in the presence of a single trapped ion in a quasi-one-dimensional geometry. Our study is carried out by means of the newly developed multilayer-multiconfiguration time-dependent Hartree method for bosons, a numerical exact approach to simulate quantum many-body dynamics. In particular, we are interested in the scenario by which the ion is so strongly trapped that its motion can be effectively neglected. This enables us to focus on the atomic ensemble only. With the development of a model potential for the atom-ion interaction, we are able to numerically obtain the exact many-body ground state of the atomic ensemble in the presence of an ion. We analyze the influence of the atom number and the atom-atom interaction on the ground state properties. Interestingly, for weakly interacting atoms, we find that the ion impedes the transition from the ideal gas behavior to the Thomas-Fermi limit. Furthermore, we show that this effect can be exploited to infer the presence of the ion both in the momentum distribution of the atomic cloud and by observing the interference fringes occurring during an expansion of the quantum gas. In the strong interacting regime, the ion modifies the fragmentation process in dependence of the atom number parity which allows a clear identification of the latter in expansion experiments. Hence, we propose in both regimes experimentally viable strategies to assess the impact of the ion on the many-body state of the atomic gas. This study serves as the first building block for systematically investigating the many-body physics of such hybrid system.

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Section: Introductionmentioning

confidence: 99%

Ground-state properties of ultracold trapped bosons with an immersed ionic impurity

2014

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“…Apart from the fundamental interest in the physics of atom-ion collisions in the quantum regime [6][7][8], these new systems are very attractive from the point of view of quantum information processing [9,10], studying many-body effects of ion impurities [11], or creation of the molecular ions [12]. One type of ongoing experiments is focused on studying the collisional processes in cold clouds of atoms and ions, like Yb with Yb + and Na with Ca + [1,2] stored in dual hybrid charged-neutral traps at mK temperatures.…”

Section: Introductionmentioning

confidence: 99%

Sympathetic cooling of the Ba+ion by collisions with ultracold Rb atoms: Theoretical prospects

et al. 2011

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State-of-the-art ab initio techniques have been applied to compute the potential energy curves of the (BaRb) + molecular ion in the Born-Oppenheimer approximation for the singlet and triplet states dissociating into the ground state 1 S Rb + ion and the Ba atom in the ground 1 S state, the lowest singlet or triplet D excited states, and for the singlet and triplet states dissociating into the ground state 2 S Rb atom and the ground state 2 S Ba + ion. The ground state potential energy was obtained with the coupled cluster method restricted to single, double, and nonperturbative triple excitations. The first triplet states in the Σ, Π, and ∆ symmetries were computed with the restricted open-shell coupled cluster method restricted to single, double, and nonperturbative triple excitations. All other excited state potential energy curves were computed using the equation of motion approach within the coupled-cluster singles, doubles, and linear triples framework.The long-range coefficients describing the electrostatic, induction, and dispersion interactions at large interatomic distances are also reported. The electric transition dipole moments governing the X 1 Σ → 1 Σ, 1 Π have been obtained as the first residue of the polarization propagator computed with the linear response coupled-cluster method restricted to single and double excitations. Nonadiabatic radial and angular coupling matrix elements, as well as the spin-orbit coupling matrix elements have been evaluated using the multireference configuration interaction method restricted to single and double excitations with a large active space. With these couplings, the spin-orbit coupled (relativistic) potential energy curves for the 0 + and 1 states relevant for the running experiments have been obtained. Finally, relativistic transition moments and nonadiabatic coupling matrix elements were obtained from the nonrelativistic results and spin-orbit eigenvectors. The electronic structure input has been employed in the single channel scattering calculations of the collisional cross sections between the Ba + ion and Rb atom. Both nonrelativistic and relativistic potentials were used in these calculations. Our results show that the inelastic cross section corresponding to the charge transfer from the Rb atom to the Ba + ion is much smaller than the elastic one over a wide range of energies up to 1 mK. This suggests that sympathetic cooling of the Ba + ion by collisions with ultracold Rb atoms should be possible.2

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“…[11] with trap induced resonances predicted. Such resonances along with the strong atom ion interaction have shown to be useful for enhancing the speed and the fidelity of a collisional quantum gate [12]. On the many-body level, it has been proposed to use an ion as a scanning tunneling microscope [13] which can in turn be used to measure the energy distribution of, say, a Fermi gas in situ [14].…”

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confidence: 99%

Ion-induced density bubble in a strongly correlated one-dimensional gas

et al. 2010

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We consider a harmonically trapped Tonks-Girardeau gas of impenetrable bosons in the presence of a single embedded ion, which is assumed to be tightly confined in an RF trap. In an ultracold ion-atom collision the ion's charge induces an electric dipole moment in the atoms which leads to an attractive r(-4) potential asymptotically. We treat the ion as a static deformation of the harmonic trap potential and model its short range interaction with the gas in the framework of quantum defect theory. The molecular bound states of the ionic potential are not populated due to the lack of any possible relaxation process in the Tonks-Girardeau regime. Armed with this knowledge we calculate the density profile of the gas in the presence of a central ionic impurity and show that a density bubble of the order of 1 mu m occurs around the ion for typical experimental parameters. From these exact results we show that an ionic impurity in a Tonks gas can be described using a pseudopotential approximation, allowing for significantly easier treatment

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Atom-ion quantum gate

Cited by 108 publications

References 26 publications

Ground-state properties of ultracold trapped bosons with an immersed ionic impurity

Ground-state properties of ultracold trapped bosons with an immersed ionic impurity

Sympathetic cooling of the Ba+ion by collisions with ultracold Rb atoms: Theoretical prospects

Ion-induced density bubble in a strongly correlated one-dimensional gas

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