199 research outputs found
Toward Spin Squeezing with Trapped Ions
Building robust instruments capable of making interferometric measurements
with precision beyond the standard quantum limit remains an important goal in
many metrology laboratories. We describe here the basic concepts underlying
spin squeezing experiments that allow one to surpass this limit. In priniciple
it is possible to reach the so-called Heisenberg limit, which constitutes an
improvement in precision by a factor , where is the number of
particles on which the measurement is carried out. In particular, we focus on
recent progress toward implementing spin squeezing with a cloud of beryllium
ions in a Penning ion trap, via the geometric phase gate used more commonly for
performing two-qubit entangling operations in quantum computing experiments.Comment: 18 pages, 9 figures, Contribution to Quantum Africa 2010 conference
proceeding
Simulating Quantum Magnetism with Correlated Non-Neutral Ion Plasmas
By employing forces that depend on the internal electronic state (or spin) of
an atomic ion, the Coulomb potential energy of a strongly coupled array of ions
can be modified in a spin-dependent way to mimic effective quantum spin
Hamiltonians. Both ferromagnetic and antiferromagnetic interactions can be
implemented. We use simple models to explain how the effective spin
interactions are engineered with trapped-ion crystals. We summarize the type of
effective spin interactions that can be readily generated, and discuss an
experimental implementation using single-plane ion crystals in a Penning trap.Comment: 10 pages, 5 figures, to be published in the Proceedings of 10th
International Workshop on Non-Neutral Plasma
Relaxation timescales and decay of correlations in a long-range interacting quantum simulator
We study the time evolution of correlation functions in long-range
interacting quantum Ising models. For a large class of initial conditions,
exact analytic results are obtained in arbitrary lattice dimension, both for
ferromagnetic and antiferromagnetic coupling, and hence also in the presence of
geometric frustration. In contrast to the nearest-neighbour case, we find that
correlations decay like stretched or compressed exponentials in time. Provided
the long-range character of the interactions is sufficiently strong, pronounced
prethermalization plateaus are observed and relaxation timescales are widely
separated. Specializing to a triangular lattice in two spatial dimensions, we
propose to utilize these results for benchmarking of a recently developed
ion-trap based quantum simulator.Comment: 19 pages, 6 figures; v2: one section removed, appendices added; v3:
upper bound corrected + minor corrections; v4: as publishe
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