Assembling a Ring-Shaped Crystal in a Microfabricated Surface Ion Trap

Tabakov, Boyan; Benito, Francisco; Blain, Matthew G.; Clark, Craig Robert; Clark, Susan M.; Haltli, Raymond A.; Maunz, Peter; Sterk, Jonathan David; Tigges, C.P.; Stick, Daniel Lynn

doi:10.1103/physrevapplied.4.031001

Cited by 35 publications

(34 citation statements)

References 24 publications

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“…However, it has been a long lasting experimental challenge to restore the translational symmetry of ion rings. In previous experiments, the ion-electrode distances have been much smaller than the ion ring diameters, making the ring sensitive to complex stray electric fields from nearby surfaces [10]. Although the stray fields do not significantly affect highenergy ion rings [9], they substantially disrupt the translational symmetry at low temperatures where many interesting quantum phenomena can be observed.…”

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confidence: 98%

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Realization of Translational Symmetry in Trapped Cold Ion Rings

Urban

Noel

et al. 2017

Phys. Rev. Lett.

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Spontaneous symmetry breaking is a universal concept throughout science. For instance, the Landau-Ginzburg paradigm of translational symmetry breaking underlies the classification of nearly all quantum phases of matter and explains the emergence of crystals, insulators, and superconductors 1 . Usually, the consequences of translational invariance are studied in large systems to suppress edge effects which cause undesired symmetry breaking 2 . While this approach works for investigating global properties, studies of local observables and their correlations require access and control of the individual constituents. Periodic boundary conditions, on the other hand, could allow for translational symmetry in small systems where single particle control is achievable. Here, we crystallize up to fifteen 40 Ca + ions in a microscopic ring with inherent periodic boundary conditions. We show the ring's translational symmetry is preserved at millikelvin temperatures by delocalizing the Doppler laser cooled ions. This establishes an upper bound for undesired symmetry breaking at a

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confidence: 98%

“…Rings of trapped ions with inherent periodic boundary conditions offer a large degree of control down to the single-particle level [4][5][6][7][8][9][10]. However, it has been a long lasting experimental challenge to restore the translational symmetry of ion rings.…”

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confidence: 99%

Realization of Translational Symmetry in Trapped Cold Ion Rings

Urban

Noel

et al. 2017

Phys. Rev. Lett.

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“…A systematic treatment based on the integrable pseudopotential limit of the symmetric 5-wire trap, gives a framework for studying further coupling or asymmetry, or the application to different geometries. The consideration of circular traps [33,34], and even of electrons guided on a chip [35], could be another interesting direction, immediately applicable (the latter is essentially a surface trap, operating at much higher frequencies since the electrons are much lighter).…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

Phase-space study of surface-electrode Paul traps: Integrable, chaotic, and mixed motions

et al. 2018

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We present a comprehensive phase-space treatment of the motion of charged particles in electrodynamic traps. Focusing on five-wire surface-electrode Paul traps, we study the details of integrable and chaotic motion of a single ion. We introduce appropriate phase-space measures and give a universal characterization of the trap effectiveness as a function of the parameters. We rigorously derive the commonly used (time-independent) pseudopotential approximation, quantify its regime of validity and analyze the mechanism of its breakdown within the time-dependent potential. The phase space approach that we develop gives a general framework for describing ion dynamics in a broad variety of surface Paul traps. To probe this framework experimentally, we propose and analyze, using numerical simulations, an experiment that can be realized with an existing four-wire trap. We predict a robust experimental signature of the existence of trapping pockets within a mixed regular and chaotic phase-space structure. Intricately rich escape dynamics suggest that surface traps give access to exploring microscopic Hamiltonian transport phenomena in phase space.

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“…A ring with approximately 400 Ca + ions has been demonstrated in Ref. [10]. In the proposed experiments, a Paul trap [11][12][13] for the ions will use an oscillating electric field to trap ions in a ring a few 100 µm above the surface of the electrodes.…”

Section: Introductionmentioning

confidence: 99%

Quantum simulations of a freely rotating ring of ultracold and identical bosonic ions

Robicheaux

Niffenegger

2015

Phys. Rev. A

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We report on two types of quantum calculations pertaining to a ring of ultracold and identical bosonic ions in a static, external magnetic field. The purpose of these calculation is to give examples of what could be expected in certain types of measurements of the rotation of this ring. The first type of calculation explores how well the ring reaches the rotational ground state when it starts in the ground state of a trapping potential that is then adiabatically switched off; the trapping potential is designed to frustrate the rotation and raise the energy scale to the point where standard cooling techniques could reach the ground state. The second type of calculation shows what kind of rotation signal might be measured using two types of measuring schemes. The focus is on how the signal changes with the temperature of the ring and with how the measurement is performed.

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Assembling a Ring-Shaped Crystal in a Microfabricated Surface Ion Trap

Cited by 35 publications

References 24 publications

Realization of Translational Symmetry in Trapped Cold Ion Rings

Realization of Translational Symmetry in Trapped Cold Ion Rings

Phase-space study of surface-electrode Paul traps: Integrable, chaotic, and mixed motions

Quantum simulations of a freely rotating ring of ultracold and identical bosonic ions

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