An Experimental Configuration to Probe for Lorentz Symmetry Violation in Electrons Using Trapped Yb+ Ions
Since extensions of the standard model have been developed that predict violations of local Lorentz invariance (LLI), precision measurement groups have been working to reduce experimental bounds of the associated matrix element. Using an analogue of the Michelson-Morley test with trapped Ca+ ions, the current bound has been set at one part in 1018. However, by instead using Yb+ ions, which have highly stable electronic states for storing quantum information compared to their counterparts and exhibit enhanced effects of LLI breaking asymmetries, we can push the bounds to one part in 1023. In this article, we outline a configuration for such an experiment and offer solutions to experimental concerns. We develop an algorithm for state creation, manipulation, and measurement that minimizes measurement time and transition uncertainty. We also discuss necessary hardware for trapping and manipulating ions including a vacuum system, a Paul trap and the associated electrode voltage supplies, and an optics system for generating and applying transition pulses. The experiment is specifically designed to utilize the existing ion trap hardware in place at the Richerme lab at Indiana University Bloomington.
 T. Pruttivarasin et al., “Michelson–Morley analogue for electrons using trapped ions to test Lorentz symmetry,” Nature, vol. 517, no. 7536, pp. 592–595, Jan. 2015. View
 V. A. Dzuba et al., “Strongly enhanced effects of Lorentz symmetry violation in entangled Yb+ ions,” Nat. Phys., vol. 12, no. 5, pp. 465–468, Jan. 2016. View
 C. J. Foot, Atomic physics. Oxford: Oxford University Press, 2005. View
 N. Huntemann, M. Okhapkin, B. Lipphardt, S. Weyers, C. Tamm, and E. Peik, “High-Accuracy Optical Clock Based on the Octupole Transition in Yb + 171,” Phys. Rev. Lett., vol. 108, no. 9, p. 90801, Feb. 2012. View
 M. Roberts, P. Taylor, G. P. Barwood, W. R. C. Rowley, and P. Gill, “Observation of the 2S1/2-2F7/2 electric octupole transition in a single 171Yb+ ion,” Phys. Rev. A, vol. 62, no. 2, p. 20501, Jul. 2000. View
 E. Biémont and P. Quinet, “Theoretical Study of the 4f146s2S1/2-4f136s2 2F07/2E3 Transition in Yb II,” Phys. Rev. Lett., vol. 81, no. 16, pp. 3345–3346, Oct. 1998. View
 P. Taylor, M. Roberts, G. M. Macfarlane, G. P. Barwood, W. R. C. Rowley, and P. Gill, “Measurement of the infrared 2F7/2-2D5/2 transition in a single 171Yb+ ion,” Phys. Rev. A, vol. 60, no. 4, pp. 2829–2833, Oct. 1999. View
 D. J. Wineland, C. Monroe, W. M. Itano, D. Leibfried, B. E. King, and D. M. Meekhof, “Experimental Issues in Coherent Quantum-State Manipulation of Trapped Atomic Ions,” J. Res. Natl. Inst. Stand. Technol. J. Res. Natl. Inst. Stand. Technol, vol. 103, no. 103. View
 J. D. Siverns, L. R. Simkins, S. Weidt, and W. K. Hensinger, “On the application of radio frequency voltages to ion traps via helical resonators,” Appl. Phys. B, vol. 107, no. 4, pp. 921–934, Jun. 2012. View
 J. D. Jackson, Classical electrodynamics. Wiley, 1999. View
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