Navegar

Colección

Datos Estadísticas

Artículo

La versión final de este artículo es de uso interno. El editor solo permite incluir en el repositorio el artículo en su versión post-print. Por favor, si usted la posee enviela a
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

We study the optically induced effective interaction between spins in micropillars. Our theoretical model describes a circularly polarized cavity mode strongly coupled to two quantum-dot excitons, each of which interacts with a localized spin. The decoherence effect inducing a finite lifetime to the cavity mode is included. Using the master equation for the density matrix we investigate the dynamics under low-power excitation. In the absence of decoherence, we recover the result obtained in a previous work (which uses conventional low-energy reduction procedures) for an effective Hamiltonian containing a Zeeman term and an Ising interaction between the localized spins. For finite cavity-photon lifetime we employ Fourier analysis on the time dependence of the nondiagonal element of the reduced density matrix, obtained by tracing out the photons and excitons, to find a quasieffective spin-spin Ising Hamiltonian. This Hamiltonian is a possible building block for two-qubit quantum computing operation. We study how decoherence affects the construction of that effective interaction. Finally, we discuss the possible application for transition-metal impurity spins embedded in CdTe quantum dots. © 2012 American Physical Society.

Registro:

Documento: Artículo
Título:Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence
Autor:Andrade, J.A.; Aligia, A.A.; Quinteiro, G.F.
Filiación:Centro Atómico Bariloche and Instituto Balseiro, Comisión Nacional de Energía Atómica, 8400 Bariloche, Argentina
Departamento de Física and IFIBA, FCEyN, Ciudad Universitaria, Pabellón 1, 1428 Buenos Aires, Argentina
Año:2012
Volumen:85
Número:16
DOI: http://dx.doi.org/10.1103/PhysRevB.85.165421
Título revista:Physical Review B - Condensed Matter and Materials Physics
Título revista abreviado:Phys. Rev. B Condens. Matter Mater. Phys.
ISSN:10980121
CODEN:PRBMD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10980121_v85_n16_p_Andrade

Referencias:

  • Pellizzari, T., Gardiner, S.A., Cirac, J.I., Zoller, P., (1995) Phys. Rev. Lett., 75, p. 3788. , PRLTAO 0031-9007 10.1103/PhysRevLett.75.3788
  • Imamoglu, A., Awschalom, D.D., Burkard, G., Divincenzo, D.P., Loss, D., Sherwin, M., Small, A., (1999) Phys. Rev. Lett., 83, p. 4204. , PRLTAO 0031-9007 10.1103/PhysRevLett.83.4204
  • Calarco, T., Datta, A., Fedichev, P., Pazy, E., Zoller, P., (2003) Phys. Rev. A, 68, p. 012310. , PLRAAN 1050-2947 10.1103/PhysRevA.68.012310
  • Quinteiro, G.F., Fernandez-Rossier, J., Piermarocchi, C., Long-range spin-qubit interaction mediated by microcavity polaritons (2006) Physical Review Letters, 97 (9), p. 097401. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevLett.97.097401&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevLett.97.097401
  • Bonato, C., Haupt, F., Oemrawsingh, S.S.R., Gudat, J., Ding, D., Van Exter, M.P., Bouwmeester, D., (2010) Phys. Rev. Lett., 104, p. 160503. , PRLTAO 0031-9007 10.1103/PhysRevLett.104.160503
  • Le Gall, C., Besombes, L., Boukari, H., Kolodka, R., Cibert, J., Mariette, H., (2009) Phys. Rev. Lett., 102, p. 127402. , PRLTAO 0031-9007 10.1103/PhysRevLett.102.127402
  • Reiter, D.E., Kuhn, T., Axt, V.M., (2009) Phys. Rev. Lett., 102, p. 177403. , PRLTAO 0031-9007 10.1103/PhysRevLett.102.177403
  • Goryca, M., Kazimierczuk, T., Nawrocki, M., Golnik, A., Gaj, J.A., Kossacki, P., Wojnar, P., Karczewski, G., (2009) Phys. Rev. Lett., 103, p. 087401. , PRLTAO 0031-9007 10.1103/PhysRevLett.103.087401
  • Trojnar, A.H., Korkusiński, M., Kadantsev, E.S., Hawrylak, P., Goryca, M., Kazimierczuk, T., Kossacki, P., Potemski, M., (2011) Phys. Rev. Lett., 107, p. 207403. , PRLTAO 0031-9007 10.1103/PhysRevLett.107.207403
  • Baudin, E., Benjamin, E., Lemaître, A., Krebs, O., (2011) Phys. Rev. Lett., 107, p. 197402. , PRLTAO 0031-9007 10.1103/PhysRevLett.107.197402
  • Brunetti, A., Vladimirova, M., Scalbert, D., Andre, R., Solnyshkov, D., Malpuech, G., Shelykh, I.A., Kavokin, A.V., Coherent spin dynamics of exciton-polaritons in diluted magnetic microcavities (2006) Physical Review B - Condensed Matter and Materials Physics, 73 (20), p. 205337. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevB.73.205337&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevB.73.205337
  • Dalgarno, P.A., Ediger, M., Gerardot, B.D., Smith, J.M., Seidl, S., Kroner, M., Karrai, K., Warburton, R.J., Optically induced hybridization of a quantum dot state with a filled continuum (2008) Physical Review Letters, 100 (17), p. 176801. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevLett.100.176801&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevLett.100.176801
  • León Hilario, L.M., Aligia, A.A., (2009) Phys. Rev. Lett., 103, p. 156802. , PRLTAO 0031-9007 10.1103/PhysRevLett.103.156802
  • Türeci, H.E., Hanl, M., Claassen, M., Weichselbaum, A., Hecht, T., Braunecker, B., Govorov, A., Von Delft, J., (2011) Phys. Rev. Lett., 106, p. 107402. , PRLTAO 0031-9007 10.1103/PhysRevLett.106.107402
  • Reithmaier, J.P., Sek, G., Loffler, A., Hofmann, C., Kuhn, S., Reitzenstein, S., Keldysh, L.V., Forchel, A., Strong coupling in a single quantum dot-semiconductor microcavity system (2004) Nature, 432 (7014), pp. 197-200. , DOI 10.1038/nature02969
  • Yoshle, T., Scherer, A., Hendrickson, J., Khitrova, G., Gibbs, H.M., Rupper, G., Ell, C., Deppe, D.G., Vacuum Rabi splitting with a single quantum dot in a photonic crystal nanocavity (2004) Nature, 432 (7014), pp. 200-203. , DOI 10.1038/nature03119
  • Laussy, F.P., Del Valle, E., Tejedor, C., (2009) Phys. Rev. B, 79, p. 235325. , PRBMDO 1098-0121 10.1103/PhysRevB.79.235325
  • Del Valle, E., Laussy, F.P., Tejedor, C., (2009) Phys. Rev. B, 79, p. 235326. , PRBMDO 1098-0121 10.1103/PhysRevB.79.235326
  • Hilario, L.M.L., Bruchhausen, A., Lobos, A.M., Aligia, A.A., Theory of polariton-mediated Raman scattering in microcavities (2007) Journal of Physics Condensed Matter, 19 (17), p. 176210. , DOI 10.1088/0953-8984/19/17/176210, PII S095389840740008X
  • Bruchhausen, A., León Hilario, L.M., Aligia, A.A., Lobos, A.M., Fainstein, A., Jusserand, B., André, R., (2008) Phys. Rev. B, 78, p. 125326. , PRBMDO 1098-0121 10.1103/PhysRevB.78.125326
  • Niemczyk, T., Deppe, F., Huebl, H., Menzel, E.P., Hocke, F., Schwarz, M.J., Garcia-Ripoll, J.J., Gross, R., (2010) Nat. Phys., 6, p. 772. , T. Hmmer, 1745-2473 10.1038/nphys1730
  • Casanova, J., Romero, G., Lizuain, I., García-Ripoll, J.J., Solano, E., (2010) Phys. Rev. Lett., 105, p. 263603. , PRLTAO 0031-9007 10.1103/PhysRevLett.105.263603
  • Braak, D., (2011) Phys. Rev. Lett., 107, p. 100401. , PRLTAO 0031-9007 10.1103/PhysRevLett.107.100401
  • Quinteiro, G.F., (2008) Phys. Rev. B, 77, p. 075301. , PRBMDO 1098-0121 10.1103/PhysRevB.77.075301
  • Gershenfeld, N.A., Chuang, I.L., Bulk spin-resonance quantum computation (1997) Science, 275 (5298), pp. 350-356. , DOI 10.1126/science.275.5298.350
  • Andrade, J.A., Aligia, A.A., Quinteiro, G.F., (2011) J. Phys.: Condens. Matter, 23, p. 215304. , JCOMEL 0953-8984 10.1088/0953-8984/23/21/215304
  • Aligia, A.A., Kroll, T., (2010) Phys. Rev. B, 81, p. 195113. , PRBMDO 1098-0121 10.1103/PhysRevB.81.195113
  • Raimondi, R., Jefferson, J.H., Feiner, L.F., (1996) Phys. Rev. B, 53, p. 8774. , PRBMDO 1098-0121 10.1103/PhysRevB.53.8774
  • Simón, M.E., Aligia, A.A., Gagliano, E.R., (1997) Phys. Rev. B, 56, p. 5637. , PRBMDO 1098-0121 10.1103/PhysRevB.56.5637
  • Batista, C.D., Aligia, A.A., (1993) Phys. Rev. B, 47, p. 8929. , PRBMDO 1098-0121 10.1103/PhysRevB.47.8929
  • Bała, J., Ole, A.M., Zaanen, J., (1994) Phys. Rev. Lett., 72, p. 2600. , PRLTAO 0031-9007 10.1103/PhysRevLett.72.2600
  • Batista, C.D., Aligia, A.A., Eroles, J., (1998) Europhys. Lett., 43, p. 71. , EULEEJ 0295-5075 10.1209/epl/i1998-00321-x
  • Horsch, P., Oles, A.M., Feiner, L.F., Khaliullin, G., Evolution of spin-orbital-lattice coupling in the RVO3 perovskites (2008) Physical Review Letters, 100 (16), p. 167205. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevLett.100.167205&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevLett.100.167205
  • Kittel, C., (1963) Quantum Theory of Solids, p. 148. , John Wiley and Sons, New York
  • Meystre, P., Sargent, M., (2007) Elements of Quantum Optics, , Springer, Berlin
  • Mitra, A., Vyas, R., (2010) Phys. Rev. A, 81, p. 012329. , PLRAAN 1050-2947 10.1103/PhysRevA.81.012329
  • Govorov, A.O., Kalameitsev, A.V., Optical properties of a semiconductor quantum dot with a single magnetic impurity: Photoinduced spin orientation (2005) Physical Review B - Condensed Matter and Materials Physics, 71 (3), pp. 1-5. , DOI 10.1103/PhysRevB.71.035338, 035338
  • Bertaina, S., Chen, L., Groll, N., Van Tol, J., Dalal, N.S., Chiorescu, I., (2009) Phys. Rev. Lett., 102, p. 050501. , PRLTAO 0031-9007 10.1103/PhysRevLett.102.050501
  • Press, W., Teukolsky, S., Vetterling, W., Flannery, B., (1992) Numerical Recipes in C, p. 507. , Cambridge University Press, New York
  • Reitzenstein, S., Forchel, A., (2010) J. Phys. D, 43, p. 033001. , JPAPBE 0022-3727 10.1088/0022-3727/43/3/033001
  • Jakubczyk, T., Kazimierczuk, T., Golnik, A., Bienias, P., Pacuski, W., Kruse, C., Hommel, D., Gaj, J.A., (2009) Acta Phys. Pol. A, 116, p. 888
  • Schulz, W.-M., Thomay, T., Eichfelder, M., Bommer, M., Wiesner, M., Robach, R., Jetter, M., Michler, P., (2010) Opt. Express, 18, p. 12543. , OPEXFF 1094-4087 10.1364/OE.18.012543
  • Suffczynski, J., Kazimierczuk, T., Goryca, M., Piechal, B., Trajnerowicz, A., Kowalik, K., Kossacki, P., Karczewski, G., Excitation mechanisms of individual CdTe ZnTe quantum dots studied by photon correlation spectroscopy (2006) Physical Review B - Condensed Matter and Materials Physics, 74 (8), p. 085319. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevB.74.085319&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevB.74.085319
  • Mackowski, S., Nguyen, T.A., Gurung, T., Hewaparakrama, K., Jackson, H.E., Smith, L.M., Wrobel, J., Karczewski, G., Exciton spin relaxation in quasiresonantly excited CdTe/ZnTe self-assembled quantum dots (2004) Physical Review B - Condensed Matter and Materials Physics, 70 (24), pp. 1-9. , DOI 10.1103/PhysRevB.70.245312, 245312
  • Chen, Y., Okuno, T., Masumoto, Y., Terai, Y., Kuroda, S., Takita, K., Spin relaxation in CdTe quantum dots (2005) Physical Review B - Condensed Matter and Materials Physics, 71 (3), pp. 1-4. , DOI 10.1103/PhysRevB.71.033314, 033314
  • Goryca, M., Ferrand, D., Kossacki, P., Nawrocki, M., Pacuski, W., Maslana, W., Gaj, J.A., Karczewski, G., (2009) Phys. Rev. Lett., 102, p. 046408. , PRLTAO 0031-9007 10.1103/PhysRevLett.102.046408
  • Chiappe, G., Fernandez-Rossier, J., Louis, E., Anda, E.V., Anisotropic exchange interaction induced by a single photon in semiconductor microcavities (2005) Physical Review B - Condensed Matter and Materials Physics, 72 (24), pp. 1-5. , http://oai.aps.org/oai/?verb=ListRecords&metadataPrefix= oai_apsmeta_2&set=journal:PRB:72, DOI 10.1103/PhysRevB.72.245311, 245311
  • Besombes, L., Léger, Y., Maingault, L., Ferrand, D., Mariette, H., (2004) J. Cibert, Phys. Rev. Lett., 93, p. 207403. , and PRLTAO 0031-9007 10.1103/PhysRevLett.93.207403
  • Leger, Y., Besombes, L., Fernandez-Rossier, J., Maingault, L., Mariette, H., Electrical control of a single Mn atom in a quantum dot (2006) Physical Review Letters, 97 (10), p. 107401. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevLett.97.107401&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevLett.97.107401
  • Govorov, A.O., Kalameitsev, A.V., Optical properties of a semiconductor quantum dot with a single magnetic impurity: Photoinduced spin orientation (2005) Physical Review B - Condensed Matter and Materials Physics, 71 (3), pp. 1-5. , DOI 10.1103/PhysRevB.71.035338, 035338
  • Visser, P.M., Nienhuis, G., (1995) Phys. Rev. A, 52, p. 4727. , PLRAAN 1050-2947 10.1103/PhysRevA.52.4727
  • Gardiner, C.W., Zoller, P., (2004) Quantum Noise, , Springer, Berlin

Citas:

---------- APA ----------
Andrade, J.A., Aligia, A.A. & Quinteiro, G.F. (2012) . Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence. Physical Review B - Condensed Matter and Materials Physics, 85(16).
http://dx.doi.org/10.1103/PhysRevB.85.165421
---------- CHICAGO ----------
Andrade, J.A., Aligia, A.A., Quinteiro, G.F. "Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence" . Physical Review B - Condensed Matter and Materials Physics 85, no. 16 (2012).
http://dx.doi.org/10.1103/PhysRevB.85.165421
---------- MLA ----------
Andrade, J.A., Aligia, A.A., Quinteiro, G.F. "Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence" . Physical Review B - Condensed Matter and Materials Physics, vol. 85, no. 16, 2012.
http://dx.doi.org/10.1103/PhysRevB.85.165421
---------- VANCOUVER ----------
Andrade, J.A., Aligia, A.A., Quinteiro, G.F. Effective Hamiltonian for the impurity-impurity interaction in micropillars in the presence of decoherence. Phys. Rev. B Condens. Matter Mater. Phys. 2012;85(16).
http://dx.doi.org/10.1103/PhysRevB.85.165421