Spin dynamics in the frozen state of the dipolar spin ice material Dy$_2$Ti$_2$O$_7$

L. R. Yaraskavitch,1,2 H. M. Revell,1,2 S. Meng,1,2 K. A. Ross,3 H. M. L. Noad,3 H. A. Dabkowska,4 B. D. Gaulin,3,4,5 and J. B. Kycia1,2 1Department of Physics and Astronomy and Guelph-Waterloo Physics Institute, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 2Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 3Department of Physics and Astronomy, McMaster University, Hamilton, Ontario, Canada L8S 4M1 4Brockhouse Institute for Materials Research, McMaster University, Hamilton, Ontario, Canada L8S 4M1 5Canadian Institute for Advanced Research, 180 Dundas Street West, Toronto, Ontario, Canada M5G 1Z8 (Received 19 December 2011; revised manuscript received 8 January 2012; published 30 January 2012)