Designing spin-spin interactions with one and two dimensional ion crystals in planar micro traps

Welzel, J.; Bautista-Salvador, A.; Abarbanel, C.; Wineman-Fisher, Vered; Wunderlich, Christof; Folman, R.; Schmidt‐Kaler, F.

doi:10.1140/epjd/e2011-20098-y

Cited by 46 publications

(50 citation statements)

References 66 publications

(66 reference statements)

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“…In fact, our formalism holds the potential to embody a very powerful instrument for the analysis of the sharing of quantum correlations among the elements of a multipartite hybrid system comprising effective bosonic modes of various natures, as well as truly many-body arrays of identical trapped particles whose vibrational degrees of freedom would embody the register of bosons to study. In particular, we can explicitly mention linear [34], as well as planar [35] and multipole ion traps [36], which are able to accommodate ions trapped in unidimensional, as well as bidimensional configurations (so-called ionic crystals: bidimensional structures are formed either via crystallization of explicit confinement of multi-ion arrays). In this case, the vibrational degrees of freedom of the FIG.…”

Section: Physical Settingsmentioning

confidence: 99%

Testing genuine multipartite nonlocality in phase space

et al. 2013

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We demonstrate genuine three-mode nonlocality based on phase-space formalism. A Svetlichny-type Bell inequality is formulated in terms of the s-parametrized quasiprobability function. We test such a tool using exemplary forms of three-mode entangled states, identifying the ideal measurement settings required for each state. We thus verify the presence of genuine three-mode nonlocality that cannot be reproduced by local or nonlocal hidden variable models between any two out of three modes. In our results, GHZ-and W-type nonlocality can be fully discriminated. We also study the behavior of genuine tripartite nonlocality under the effects of detection inefficiency and dissipation induced by local thermal environments. Our formalism can be useful to test the sharing of genuine multipartite quantum correlations among the elements of some interesting physical settings, including arrays of trapped ions and intracavity ultracold atoms. Quantum nonlocality is one of the most fundamental features of quantum mechanics. It refers to the correlations that cannot be explained by local hidden-variable models that satisfy a set of constraints epitomized by so-called Bell inequalities [1]. The violation of a Bell inequality reveals the existence of nonlocality in a given quantum mechanical state [2][3][4].While originally formulated for bipartite systems, Bell-like inequalities have been extended to the multipartite scenario, a noticeable example being embodied by the well-known inequality proposed by Mermin and Klyshko (MK) [5]. However, the violation of a MK-type inequality by a multipartite state does not necessarily imply the existence of genuine multipartite nonlocality, as this test can be flasified by nonlocal correlations in any reduction of the system's components. In order to demonstrate genuine tripartite nonlocality, another type of Bell inequalities should be thus considered such as the one formulated by Svetlichny [6], which rules out both local and nonlocal hidden variable models possibly imposed on any subparties. It was also noted that a stronger violation of the MK type can demonstrate genuine nonlocality for the cases with an even number of parties [7]. Experimental demonstrations of genuine multipartite nonlocality were firstly achieved by strong violations of an MK inquality with four photon polarization entanglements [8]. A violation of Svetlichnytype inequality was experimentally demonstrated recently with GHZ-type photon polarization entangled states [9]. A generalized version of Svetlichny inequality was recently proposed and studied [10].In this paper, motivated by the growing experimental capabilities of controlling and manipulating the state of tripartite quantum systems, in the optical laboratory [11] and beyond, we address the formulation of genuine three-mode continuous variable (CV) nonlocality tests in phase space. While the phase space provides a natural arena for the description of the state of multimode CV systems, it also provides us with powerful tools for the analysis of the quantum correla...

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Section: Physical Settingsmentioning

confidence: 99%

Testing genuine multipartite nonlocality in phase space

et al. 2013

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“…These lattices have already been very successful as platforms to simulate a large variety of quantum phenomena, including quantum many-body physics. [1][2][3][4][5][6][7][8][9][10] For neutral atoms, optical lattices have been the norm, with lattice parameters of about 0.5 μm and interaction among neighbouring sites provided by tunneling. Lattices with larger lattice parameters, in the range of 5-10 μm, are now attracting increasing interest.…”

Section: Introductionmentioning

confidence: 99%

Magnetic-film atom chip with 10 μm period lattices of microtraps for quantum information science with Rydberg atoms

Leung

Pijn

Schlatter

et al. 2014

Review of Scientific Instruments

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We describe the fabrication and construction of a setup for creating lattices of magnetic microtraps for ultracold atoms on an atom chip. The lattice is defined by lithographic patterning of a permanent magnetic film. Patterned magnetic-film atom chips enable a large variety of trapping geometries over a wide range of length scales. We demonstrate an atom chip with a lattice constant of 10 μm, suitable for experiments in quantum information science employing the interaction between atoms in highly excited Rydberg energy levels. The active trapping region contains lattice regions with square and hexagonal symmetry, with the two regions joined at an interface. A structure of macroscopic wires, cutout of a silver foil, was mounted under the atom chip in order to load ultracold 87 Rb atoms into the microtraps. We demonstrate loading of atoms into the square and hexagonal lattice sections simultaneously and show resolved imaging of individual lattice sites. Magnetic-film lattices on atom chips provide a versatile platform for experiments with ultracold atoms, in particular for quantum information science and quantum simulation. © 2014 AIP Publishing LLC.

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“…The wire bonds provide dc and rf connectivity, a large number of wire bonds are dedicated to the current carrying middle layer. Distributing the current over several wire bonds allows applying large currents tive to detuning and amplitude errors [29], the entanglement of non-neighboring ions was shown [30], and it has been discussed as a promising approach to implement quantum simulations [31,32].…”

Section: Introductionmentioning

confidence: 99%

Thick-film technology for ultra high vacuum interfaces of micro-structured traps

et al. 2012

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We adopt thick-film technology to produce ultra high vacuum compatible interfaces for electrical signals. These interfaces permit voltages of hundreds of volts and currents of several amperes and allow for very compact vacuum setups, useful in quantum optics in general, and in particular for quantum information science using miniaturized traps for ions (Kielpinski et al. in Nature 417:709, 2002) or neutral atoms (Folman et al. circuits can also be useful as pure in-vacuum devices. We demonstrate a specific interface which provides 11 current feedthroughs, more than 70 dc feedthroughs and a feedthrough for radio frequencies. We achieve a pressure in the low 10 −11 mbar range and demonstrate the full functionality of the interface by trapping chains of cold ytterbium ions, which requires the presence of all of the above mentioned signals. In order to supply precise time-dependent voltages to the ion trap, a versatile multi-channel device has been developed.

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Designing spin-spin interactions with one and two dimensional ion crystals in planar micro traps

Cited by 46 publications

References 66 publications

Testing genuine multipartite nonlocality in phase space

Testing genuine multipartite nonlocality in phase space

Magnetic-film atom chip with 10 μm period lattices of microtraps for quantum information science with Rydberg atoms

Thick-film technology for ultra high vacuum interfaces of micro-structured traps

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