Observation of power-law scaling for phase transitions in linear trapped ion crystals

Abstract

We report an experimental confirmation of the power-law relationship between the critical anisotropy parameter and ion number for the linear-to-zigzag phase transition in an ionic crystal. Our experiment uses laser cooled calcium ions confined in a linear radio-frequency trap. Measurements for up to 10 ions are in good agreement with theoretical and numeric predictions. Implications on an upper limit to the size of data registers in ion trap quantum computers are discussed.

Physical Review Letters in press, 4 pages, 4 figures

References in corpus (3)

• Quantum dynamics of cold trapped ions, with application to quantum computation
• The Ion Trap Quantum Information Processor
• The Los Alamos Trapped Ion Quantum Computer Experiment

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• Precise Experimental Investigation of Eigenmodes in a Planar Ion Crystal
• Dynamics of an ion chain in a harmonic potential
• Rydberg excitation of trapped cold ions: A detailed case study
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• Localization and symmetry breaking in the quantum quasiperiodic Ising glass
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• Structure, dynamics and bifurcations of discrete solitons in trapped ion crystals
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• Designing spin-spin interactions with one and two dimensional ion crystals in planar micro traps
• Quantum Magnetism of Spin-Ladder Compounds with Trapped-Ion Crystals
• Temperature driven structural phase transition for trapped ions and its experimental detection
• Finite temperature spectrum at the symmetry-breaking linear-zigzag transition
• Two-dimensional spectroscopy for the study of ion Coulomb crystals
• Ion-crystal demonstration of structural phase transition induced solely by temperature
• Stability and dynamics of ion rings in linear multipole traps
• Ion chains in high-finesse cavities
• Entanglement at the quantum phase transition in a harmonic lattice
• Mode shaping in mixed ion crystals of 40Ca2+ and 40Ca+
• Topological quasi-one-dimensional state of interacting spinless electrons
• Experimental demonstration of an efficient number diagnostic for long 1D ion chains
• The Effect of Micromotion and Local Stress in Quantum simulation with Trapped Ions in Optical Tweezers
• Critical behavior of the quasi-periodic quantum Ising chain
• Spectral Signatures of Vibronic Coupling in Trapped Cold Ionic Rydberg Systems
• Domain formation and structural stabilities in mixed-species Coulomb crystals induced by sympathetically cooled highly charged ions
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $\lambda {\varphi }^4$ model
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