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Nonlinear dynamics in a surface-electrode multipole ion trap 1 ROBERT CLARK, MARK MAURICE, DYLAN GREEN, The Citadel | The surface electrode multipole ion trap (Appl. Phys. B 113 171 (2013)) allows one to realize a highly symmetric, yet anharmonic, conning

Robert Clark

Published Jan 1, 2015• 0 citations
OpenAlex

Abstract

particle. We present a detailed model of such a trap, and measurements demonstrating the nonlinear character of the trap through the observation of frequency upconversion in the (classical) motion of a single trapped sugar particle. We will discuss extending these measurements to atomic-scale systems, as well as possible applications to mass spectrometry, quantum chaos, and quantum information science.

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particle. We present a detailed model of such a trap, and measurements demonstrating the nonlinear character of the trap through the observation of frequency upconversion in the (classical) motion of a single trapped sugar particle. We will discuss extending these measurements to atomic-scale systems, as well as possible applications to mass spectrometry, quantum chaos, and quantum information science.
Surface-electrode (SE) rf traps are a promising approach to manufacturing complex ion-trap networks suitable for large-scale quantum information processing. In this paper we present analytical methods for modeling SE traps in the gapless plane approximation, and apply these methods to two particular classes of SE traps. For the SE ring trap we derive analytical expressions for the trap geometry and strength, and also calculate the depth in the absence of control fields. For translationally symmetric multipole configurations (analogs of the linear Paul trap), we derive analytical expressions for electrode geometry and strength. Further, we provide arbitrarily good approximations of the trap depth in the absence of static fields and identify the requirements for obtaining maximal depth. Lastly, we show that the depth of SE multipoles can be greatly influenced by control fields.
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.
Current classical computing methods are unable to simulate quantum many-body interactions efficiently.Analog quantum simulators with even small numbers of quantum degrees of freedom are expected to enable the investigation of systems not fully accessible in traditional computing such as condensed-matter systems, quantum chemistry, and material science.Two-dimensional lattices of trapped ions are a good candidate to realize an analog quantum simulator for their addressability, individual control and individual detection.Here, we report on multiple unique lattice surface ion trap designs, microfabricated at Sandia National Laboratories, capable of trapping and interacting up to 4 ions.Ions are held in close proximity in individual all radio-frequency potential minima and interact via their Coulomb repulsion.The Coulomb coupling between ions allows for simulation of spin-spin interactions 1-6 .Control electrodes of the trap can be used to adjust principal axes of the ion's motion and thus enable individual control over the interaction between ions.The lattice trap array architecture tested in this work can be scaled to larger two-dimensional lattices of trapped ions.
A single trapped ion driven away from the equilibrium position behaves like a Duffing oscillator. We demonstrate in a homebuilt surface-electrode trap (SET) the motion transduction of a trapped-ion oscillator from one dimension to another along with amplification of motional amplitudes and energies under the full control of the radio-frequency drive voltage. The phenomena, originated from different layouts and fabrication asymmetry of the SET, can be understood by complicated Duffing nonlinear equations. Our scheme provides an effective mechanism to investigate very complicated nonlinear behavior in trapped-ion setups and is expected to have extensive applications.