NMR technique for determining the depth of shallow nitrogen- vacancy centers in diamond

Linh M. Pham,1 Stephen J. DeVience,2 Francesco Casola,1 Igor Lovchinsky,3 Alexander O. Sushkov,2,3,* Eric Bersin,3 Junghyun Lee,4 Elana Urbach,3 Paola Cappellaro,5 Hongkun Park,2,3,6 Amir Yacoby,7,3 Mikhail Lukin,3 and Ronald L. Walsworth1,3,6,† 1Harvard-Smithsonian Center for Astrophysics, 60 Garden St., Cambridge, Massachusetts 02138, USA 2Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford St., Cambridge, Massachusetts 02138, USA 3Department of Physics, Harvard University, 17 Oxford St., Cambridge, Massachusetts 02138, USA 4Department of Physics, Massachusetts Institute of Technology, 77 Massachusetts Ave, Cambridge, Massachusetts 02139, USA 5Department of Nuclear Science and Engineering, Massachusetts Institute of Technology, 77 Massachusetts Ave, Cambridge, Massachusetts 02139, USA 6Center for Brain Science, Harvard University, 52 Oxford St., Cambridge, Massachusetts 02138, USA 7School of Engineering and Applied Sciences, Harvard University, 15 Oxford St., Cambridge, Massachusetts 02138, USA (Received 18 August 2015; revised manuscript received 6 November 2015; published 25 January 2016)