Characterization of the internal state of NV center in diamond and second quantization formalism
DOI:
https://doi.org/10.31349/RevMexFis.66.814Keywords:
NV Center, Defect, Photochromism, Qubit.Abstract
In this paper a general study of NV center internal state in diamond is presented. This study is based on experimental and theoretical findingsfound in literature. First, a Hamiltonian model for center NV internal state is proposed in terms of a complete set of commuting observables
(CSCO), which consist of angular momentum ^L
, spin momentum ^ S, total angular momentum ^ J = ^L
+ ^ S and spin momentum on z-direction
^ Sz. The second quantization formalism –in steady-state (conservative model)– is used. The creation and annihilation operators are used to
described the steady spin-levels structure and in dynamic-state (non-conservative model) and can also describe the system dynamic between
different spin-levels transitions. Finally, a discussion is presented about the application of this study in the photochromism phenomenon and
solid-state quantum bit (qubit).
References
T. Gaebel, M. Domhan, C. Wittmann, I. Popa, F. Jelezko, J. Rabeau, A. Greentree, S. Prawer, E. Trajkov, P. R. Hemmer and J. Wrachtrup, Appl. Phys. B 82 (2006) 243.
F. Shi, X. Rong, N. Xu, Y. Wang, J. Wu, B. Chong, X. Peng, J. Kniepert, R.-S. Schoenfeld, W. Harneit, M. Feng and J. Du, Phys. Rev. Lett. 105 (2010) 040504.
S. Hong, M. S. Grinolds, L. M. Pham, D. Le Sage, L. Luan, R. L. Walsworth and A. Yacoby, MRS Bull. 38 (2013) 155.
J. Hodges, N. Yao, D. Maclaurin, C. Rastogi, M. Lukin and D. Englund, Phys. Rev. A 87 (2013) 032118.
M. W. Doherty, N. B. Manson, P. Delaney, F. Jelezko, J. Wrachtrup and L. C. L. Hollenberg, Phys. Rep. 528 (2013) 1.
D. Kielpinski, C. Monroe and D. J. Wineland, Nature 417 (2002) 709.
G. González and M. N. Leuenberger, Nanotechnology 21 (2010) 274020.
D. Loss and D. P. DiVincenzo, Phys. Rev. A 57 (1998) 12.
D. G. Cory, R. Laflamme, E. Knill, L. Viola, T. F. Havel, N. Boulant, G. Boutis, E. Fortunato, S. Lloyd, R. Martinez, C. Negrevergne, M. Pravia, Y. Sharf, G. Teklemariam, Y. S. Weinstein and W. H. Zurek, Fortschritte der Phys. 48 (2000) 875.
J. A. Jones, Fortschritte der Phys. 48 (2000) 909.
C. H. van der Wal, Science (80). 290 (2000) 773.
T. Gaebel, M. Domhan, I. Popa, C. Wittmann, P. Neumann, F. Jelezko, J. R. Rabeau, N. Stavrias, A. D. Greentree, S. Prawer, J. Meijer, J. Twamley, P. R. Hemmer and J. Wrachtrup, Nat. Phys. 2 (2006) 408.
C. Bradac, T. Gaebel, J. R. Rabeau and A. S. Barnard, in Nanotechnology in Australia: Showcase of Early Career Research (Pan Stanford Publishing, USA, 2011), pp. 113–149.
G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. R. Hemmer, F. Jelezko and J. Wrachtrup, Nat. Mater. 8 (2009) 383.
J. Meijer, B. Burchard, M. Domhan, C. Wittmann, T. Gaebel, I. Popa, F. Jelezko and J. Wrachtrup, Appl. Phys. Lett. 87 (2005) 261909.
J. R. Rabeau, P. Reichart, G. Tamanyan, D. N. Jamieson, S. Prawer, F. Jelezko, T. Gaebel, I. Popa, M. Domhan and J. Wrachtrup, Appl. Phys. Lett. 88 (2006) 023113.
A. Tsukanov, Russ. Microelectron. 41 (2012) 91.
A. Lenef, S. W. Brown, D. A. Redman, S. C. Rand, J. Shigley and E. Fritsch, Phys. Rev. B 53 (1996) 13427.
G. Davies, J. Phys. C Solid State Phys. 12 (1979) 2551.
S. Felton, A. Edmonds and M. Newton, Phys. Rev. B 77 (2008) 081201.
A. Gali, Phys. Rev. B 79 (2009) 235210.
P. Neumann, R. Kolesov, V. Jacques, J. Beck, J. Tisler, A. Batalov, L. Rogers, N. B. Manson, G. Balasubramanian, F. Jelezko and J. Wrachtrup, New J. Phys. 11 (2009) 013017.
A. Gruber, Science (80-. ). 276 (1997) 2012.
J. H. N. Loubser and J. A. van Wyk, Reports Prog. Phys. 41 (1978) 1201.
J. H. N. Loubser and J. A. van Wyk, Diam. Res. 11 (1977) 11.
L. J. Rogers, S. Armstrong, M. J. Sellars and N. B. Manson, New J. Phys. 10 (2008) 103024.
L. J. Rogers, M. W. Doherty, M. S. J. Barson, S. Onoda, T. Ohshima and N. B. Manson, New J. Phys. 17 (2015) 013048.
J. R. Weber, W. F. Koehl, J. B. Varley, A. Janotti, B. B. Buckley, C. G. Van de Walle and D. D. Awschalom, Proc. Natl. Acad. Sci. 107 (2010) 8513.
N. B. Manson, J. P. Harrison and M. J. Sellars, Phys. Rev. B 74 (2006) 104303.
J. R. Maze, A. Gali, E. Togan, Y. Chu, A. Trifonov, E. Kaxiras and M. D. Lukin, New J. Phys. 13 (2011) 025025.
M. W. Doherty, N. B. Manson, P. Delaney and L. C. L. Hollenberg, New J. Phys. 13 (2011) 025019.
M. W. Doherty, F. Dolde, H. Fedder, F. Jelezko, J. Wrachtrup, N. B. Manson and L. C. L. Hollenberg, Phys. Rev. B 85 (2012) 205203.
D. P. DiVincenzo, Fortschritte der Phys. 48 (2000) 771.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2020 César Iván Huerta Pérez, Efraín Urrutia Bañuelos, Matín Rafael Pedroza Montero, Raúl Riera Aroche
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
