Abstract
We describe, from a theoretical point of view, phonon-induced dephasing and relaxation processes in double quantum dots, the specific features of the spontaneous emission in these systems, and the interplay of these two classes of physical processes. First, we discuss the phonon-assisted transfer of electron, hole and exciton occupation in coupled dots, the dephasing of spatially delocalized superpositions, and the phonon-induced decay of entanglement. Second, we study the signatures of collective emission in the linear absorption and the four-wave mixing optical response of these systems, as well as in time-resolved luminescence, where collective effects are manifested by long-living tails in the emission due to the vacuum-induced coherence effect. Finally, we analyze the interplay of phonon-related processes and spontaneous emission. We show that occupation transfer between bright and dark states in the ground state doublet of a double-dot structure can lead to a temperature dependence of the spontaneous emission rate, which may result in a non-monotonic temperature dependence of the luminescence decay rate.
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References
Rolon, J.E., Ulloa, S.E.: Phys. Rev. B 82(11), 115307 (2010). DOI 10.1103/PhysRevB.82.115307
Unold, T., Mueller, K., Lienau, C., Elsaesser, T., Wieck, A.D.: Phys. Rev. Lett. 94(13), 137404 (2005)
Gywat, O., Burkard, G., Loss, D.: Phys. Rev. B 65, 205329 (2002)
Goryca, M., Kazimierczuk, T., Nawrocki, M., Golnik, A., Gaj, J.A., Kossacki, P., Wojnar, P., Karczewski, G.: Phys. Rev. Lett. 103(8), 087401 (2009). DOI 10.1103/PhysRevLett.103.087401
Xie, Q., Madhukar, A., Chen, P., Kobayashi, N.P.: Phys. Rev. Lett. 75(13), 2542 (1995)
Solomon, G.S., Trezza, J.A., Marshall, A.F., Harris, J.S. Jr.: Phys. Rev. Lett. 76(6), 952 (1996)
Gerardot, B., Shtrichman, I., Hebert, D., Petroff, P.: J. Cryst. Growth 252(1–3), 44 (2003)
Fafard, S., Wasilewski, Z.R., Allen, C.N., Picard, D., Spanner, M., McCaffrey, J.P., Piva, P.G.: Phys. Rev. B 59(23), 15368 (1999)
Gerardot, B.D., Strauf, S., de Dood, M.J.A., Bychkov, A.M., Badolato, A., Hennessy, K., Hu, E.L., Bouwmeester, D., Petroff, P.M.: Phys. Rev. Lett. 95(13), 137403 (2005)
Ortner, G., Yugova, I., Baldassarri Höger von Högersthal, G., Larionov, A., Kurtze, H., Yakovlev, D.R., Bayer, M., Fafard, S., Wasilewski, Z., Hawrylak, P., Lyanda-Geller, Y.B., Reinecke, T.L., Babinski, A., Potemski, M., Timofeev, V.B., Forchel, A.: Phys. Rev. B 71(12), 125335 (2005)
Szafran, B., Chwiej, T., Peeters, F.M., Bednarek, S., Adamowski, J., Partoens, B.: Phys. Rev. B 71, 205316 (2005)
Szafran, B.: Acta Phys. Polon. A 114(5), 1013 (2008)
Borri, P., Langbein, W., Schneider, S., Woggon, U., Sellin, R.L., Ouyang, D., Bimberg, D.: Phys. Rev. Lett. 87(15), 157401 (2001)
Vagov, A., Axt, V.M., Kuhn, T., Langbein, W., Borri, P., Woggon, U.: Phys. Rev. B 70(20), 201305(R) (2004)
Krummheuer, B., Axt, V.M., Kuhn, T.: Phys. Rev. B 65(19), 195313 (2002)
Jacak, L., Machnikowski, P., Krasnyj, J., Zoller, P.: Eur. Phys. J. D 22, 319 (2003)
Grodecka, A., Machnikowski, P.: Phys. Rev. B 73, 125306 (2006)
Diósi, L.: In: Benatti, F., Floreanini, R. (eds.) Irreversible Quantum Dynamics (Lecture Notes in Physics, vol. 622), pp. 157–163. Springer, Berlin (2003). Quant-ph/0301096
Yu, T., Eberly, J.H.: Phys. Rev. Lett. 93(14), 140404 (2004)
Dodd, P.J., Halliwell, J.J.: Phys. Rev. A 69(5), 052105 (2004)
Yu, T., Eberly, J.H.: Phys. Rev. B 68(16), 165322 (2003)
Gross, M., Haroche, S.: Phys. Rep. 93(5), 301 (1982)
Skribanowitz, N., Herman, I.P., MacGilvray, J.C., Feld, M.S.: Phys. Rev. Lett. 30(8), 309 (1973)
Scheibner, M., Schmidt, T., Worschech, L., Forchel, A., Bacher, G., Passow, T., Hommel, D.: Nat. Phys. 3, 106 (2007)
Zanardi, P., Rasetti, M.: Phys. Rev. Lett. 79, 3306 (1997)
Zanardi, P., Rossi, F.: Phys. Rev. Lett. 81, 4752 (1998)
Bryant, G.W.: Phys. Rev. B 47(3), 1683 (1993)
Schliwa, A., Stier, O., Heitz, R., Grundmann, M., Bimberg, D.: Phys. Stat. Sol. (b) 224(2), 405 (2001)
Szafran, B., Bednarek, S., Adamowski, J.: Phys. Rev. B 64, 125301 (2001)
Bayer, M., Hawrylak, P., Hinzer, K., Fafard, S., Korkusinski, M., Wasilewski, Z.R., Stern, O., Forchel, A.: Science 291, 451 (2001)
Ortner, G., Bayer, M., Larionov, A., Timofeev, V.B., Forchel, A., Lyanda-Geller, Y.B., Reinecke, T.L., Hawrylak, P., Fafard, S., Wasilewski, Z.: Phys. Rev. Lett. 90(8), 086404 (2003)
Ortner, G., Bayer, M., Lyanda-Geller, Y., Reinecke, T.L., Kress, A., Reithmaier, J.P., Forchel, A.: Phys. Rev. Lett. 94(15), 157401 (2005)
Krenner, H.J., Sabathil, M., Clark, E.C., Kress, A., Schuh, D., Bichler, M., Abstreiter, G., Finley, J.J.: Phys. Rev. Lett. 94, 057402 (2005)
Lovett, B.W., Reina, J.H., Nazir, A., Briggs, G.A.D.: Phys. Rev. B 68, 205319 (2003)
Ahn, K.J., Förstner, J., Knorr, A.: Phys. Rev. B 71(15), 153309 (2005)
Förster, T.: Ann. Phys. (Leipzig) 2, 55 (1948)
Dexter, D.L.: J. Chem. Phys. 21(5), 836 (1953)
Heitz, R., Mukhametzhanov, I., Chen, P., Madhukar, A.: Phys. Rev. B 58(16), R10151 (1998)
Tackeuchi, A., Kuroda, T., Mase, K., Nakata, Y., Yokoyama, N.: Phys. Rev. B 62(3), 1568 (2000)
Rodt, S., Turck, V., Heitz, R., Guffarth, F., Engelhardt, R., Pohl, U.W., Straßburg, M., Dworzak, M., Hoffmann, A., Bimberg, D.: Phys. Rev. B 67(23), 235327 (2003)
Ortner, G., Oulton, R., Kurtze, H., Schwab, M., Yakovlev, D.R., Bayer, M., Fafard, S., Wasilewski, Z., Hawrylak, P.: Phys. Rev. B 72(16), 165353 (2005)
Nakaoka, T., Clark, E.C., Krenner, H.J., Sabathil, M., Bichler, M., Arakawa, Y., Abstreiter, G., Finley, J.J.: Phys. Rev. B 74(12), 121305(R) (2006)
Pryor, C., Kim, J., Wang, L.W., Williamson, A.J., Zunger, A.: J. Appl. Phys. 83(5), 2548 (1998)
Winkler, R.: Spin-Orbit Coupling Effects in Two-Dimensional Electron and Hole Systems, Springer Tracts in Modern Physics, vol. 191. Springer, Berlin (2003)
Wójs, A., Hawrylak, P., Fafard, S., Jacak, L.: Phys. Rev. B 54, 5604 (1996)
Messiah, A.: Quantum Mechanics. North-Holland, Amsterdam (1966)
Machnikowski, P., Grodecka, A., Weber, C., Knorr, A.: Mater. Sci. (Poland) 26, 851 (2008). ArXiv:0706.0276v1 [cond-mat.mes-hall]
Grodecka, A., Jacak, L., Machnikowski, P., Roszak, K.: In: Ling, P.A. (ed.) Quantum Dots: Research Developments, p. 47. Nova Science, NY (2005). Cond-mat/0404364
Mahan, G.D.: Many-Particle Physics. Kluwer, New York (2000)
Mahan, G.D.: In: Devreese, J.T. (ed.) Polarons in Ionic Crystals and Polar Semiconductors, p. 553. North-Holland, Amsterdam (1972)
Dicke, R.H.: Phys. Rev. 93(1), 99 (1954)
Karwat, P., Sitek, A., Machnikowski, P.: Phys. Rev. B 84, 195315 (2011). DOI 10.1103/PhysRevB.84.195315
Roszak, K., Machnikowski, P.: Phys. Lett. A 351(4–5), 251 (2006). Cond-mat/0504135
Rossi, F., Kuhn, T.: Rev. Mod. Phys. 74(3), 895 (2002)
Förstner, J., Weber, C., Danckwerts, J., Knorr, A.: Phys. Rev. Lett. 91, 127401 (2003)
Krügel, A., Axt, V.M., Kuhn, T., Machnikowski, P., Vagov, A.: Appl. Phys. B 81, 897 (2005)
Krügel, A., Axt, V.M., Kuhn, T.: Phys. Rev. B 73(3), 035302 (2006)
Huneke, J., Krügel, A., Kuhn, T., Vagov, A., Axt, V.M.: Phys. Rev. B 78(8), 085316 (2008)
Roszak, K., Grodecka, A., Machnikowski, P., Kuhn, T.: Phys. Rev. B 71(19), 195333 (2005)
Roszak, K., Machnikowski, P.: Phys. Rev. A 73, 022313 (2006). Quant-ph/0507027
Sitek, A., Machnikowski, P.: Phys. Rev. B 75(3), 035328 (2007)
Machnikowski, P., Roszak, K., Sitek, A.: Acta Phys. Polon. A 116(5), 818 (2009)
Rozbicki, E., Machnikowski, P.: Phys. Rev. Lett. 100(2), 027401 (2008)
Kazimierczuk, T., Suffczyński, J., Golnik, A., Gaj, J.A., Kossacki, P., Wojnar, P.: Phys. Rev. B 79(15), 153301 (2009). DOI 10.1103/ PhysRevB.79.153301
Reischle, M., Beirne, G.J., Roßbach, R., Jetter, M., Schweizer, H., Michler, P.: Phys. Rev. B 76(8), 085338 (2007). DOI 10.1103/ PhysRevB.76.085338
Nishibayashi, K., Kawazoe, T., Ohtsu, M., Akahane, K., Yamamoto, N.: Appl. Phys. Lett. 93(4), 042101 (2008). DOI 10.1063/1.2945289
Park, J.H., Choi, D.G., Lee, T.K., Oh, E., Lee, S., Furdyna, J.K.: Appl. Phys. Lett. 90(20), 201916 (2007). DOI 10.1063/1.2740484
Bajracharya, P., Nguyen, T.A., Mackowski, S., Smith, L.M., Wagner, H.P., Pohl, U.W., Bimberg, D., Strassburg, M.: Phys. Rev. B 75(3), 035321 (2007). DOI 10.1103/PhysRevB.75.035321
de Sales, F.V., da Silva, S.W., Cruz, J.M.R., Monte, A.F.G., Soler, M.A.G., Morais, P.C., da Silva, M.J., Quivy, A.A.: Phys. Rev. B 70(23), 235318 (2004). DOI 10.1103/PhysRevB.70.235318
Mazur, Y.I., Wang, Z.M., Tarasov, G.G., Xiao, M., Salamo, G.J., Tomm, J.W., Talalaev, V., Kissel, H.: Appl. Phys. Lett. 86(6), 063102 (2005). DOI 10.1063/1.1861980
Seufert, J., Obert, M., Bacher, G., Forchel, A., Passow, T., Leonardi, K., Hommel, D.: Phys. Rev. B 64(12), R121303 (2001). DOI 10.1103/ PhysRevB.64.121303
Chang, W.H., Lin, H., Wang, S.Y., Lin, C.H., Cheng, S.J., Lee, M.C., Chen, W.Y., Hsu, T.M., Hsieh, T.P., Chyi, J.I.: Phys. Rev. B 77(24), 245314 (2008). DOI 10.1103/PhysRevB.77.245314
Nakaoka, T., Tatebayashi, J., Arakawa, Y., Saito, T.: J. Appl. Phys. 96(1), 150 (2004). DOI 10.1063/1.1755857
Wang, B.R., Sun, B.Q., Ji, Y., Dou, X.M., Xu, Z.Y., Wang, Z.M., Salamo, G.J.: J. Appl. Phys. 93(1), 011107 (2008). DOI 10.1063/1. 2957466
Müller, K., Bechtold, A., Ruppert, C., Zecherle, M., Reithmaier, G., Bichler, M., Krenner, H.J., Abstreiter, G., Holleitner, A.W., Villas-Boas, J.M., Betz, M., Finley, J.J.: Phys. Rev. Lett. 108, 197402 (2012). DOI 10.1103/PhysRevLett.108.197402
Gawarecki, K., Pochwała, M., Grodecka-Grad, A., Machnikowski, P.: Phys. Rev. B 81, 245312 (2010)
Gawarecki, K., Machnikowski, P.: Phys. Rev. B 85, 041305(R) (2012). DOI 10.1103/PhysRevB.85.041305
Wu, Z.J., Zhu, K.D., Yuan, X.Z., Jiang, Y.W., Zheng, H.: Phys. Rev. B 71(20), 205323 (2005)
Vorojtsov, S., Mucciolo, E.R., Baranger, H.U.: Phys. Rev. B 71(20), 205322 (2005)
Stavrou, V.N., Hu, X.: Phys. Rev. B 72(7), 075362 (2005)
López-Richard, V., Oliveira, S.S., Hai, G.Q.: Phys. Rev. B 71, 075329 (2005)
Grodecka, A., Machnikowski, P., Förstner, J.: Phys. Rev. B 78(8), 085302 (2008)
Grodecka-Grad, A., Förstner, J.: Phys. Rev. B 81, 115305 (2010)
Wijesundara, K.C., Rolon, J.E., Ulloa, S.E., Bracker, A.S., Gammon, D., Stinaff, E.A.: Phys. Rev. B 84, 081404 (2011). DOI 10.1103/ PhysRevB.84.081404
Bockelmann, U., Bastard, G.: Phys. Rev. B 42, 8947 (1990)
Jaskólski, W., Zieliński, M.: Acta Phys. Polon. A 106(2), 193 (2004)
Jaskolski, W., Zielinski, M., Bryant, G.W., Aizpurua, J.: Phys. Rev. B 74(19), 195339 (2006). DOI 10.1103/PhysRevB.74.195339
Climente, J.I., Korkusinski, M., Goldoni, G., Hawrylak, P.: Phys. Rev. B 78, 115323 (2008). DOI 10.1103/PhysRevB.78.115323. URL http://link.aps.org/doi/10.1103/PhysRevB.78.115323
Richter, M., Ahn, K.J., Knorr, A., Schliwa, A., Bimberg, D., Madjet, M.E.A., Renger, T.: Phys. Stat. Sol. (b) 243(10), 2302 (2006)
Govorov, A.O.: Phys. Rev. B 71(15), 155323 (2005)
Thilagam, A., Lohe, M.A.: Phonon-assisted decoherence in coupled quantum dots (2007). ArXiv:cond-mat/0702428
Govorov, A.O.: Phys. Rev. B 68(7), 075315 (2003)
Rozbicki, E., Machnikowski, P.: Acta Phys. Pol. A 112, 197 (2007). ArXiv:0706.0862 [cond-mat.mes-hall]
Krummheuer, B., Axt, V.M., Kuhn, T.: Phys. Rev. B 72(24), 245336 (2005)
Muljarov, E.A., Takagahara, T., Zimmermann, R.: Phys. Rev. Lett. 95(17), 177405 (2005)
Muljarov, E.A., Zimmermann, R.: Phys. Rev. Lett. 93, 237401 (2004)
Machnikowski, P.: Phys. Rev. Lett. 96(14), 140405 (2006)
Machnikowski, P.: Phys. Stat. Sol. (b) 243(10), 2247 (2006)
Einstein, A., Podolsky, B., Rosen, N.: Phys. Rev. 47, 777 (1935)
Schrödinger, E.: Proc. Cambridge Philos. Soc. 31, 555 (1935)
Bell, J.S.: Physics 1, 195 (1964)
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)
Bennett, C.H., Wiesner, S.J.: Phys. Rev. Lett. 69(20), 2881 (1992)
Ekert, A.K.: Phys. Rev. Lett. 67(6), 661 (1991)
Yu, T., Eberly, J.H.: Phys. Rev. B 66(19), 193306 (2002)
Horodecki, M., Horodecki, P., Horodecki, R.: Phys. Rev. Lett. 78(4), 574 (1997)
Bennett, C.H., Bernstein, H.J., Popescu, S., Schumacher, B.: Phys. Rev. A 53(7), 2046 (1996)
Bennett, C.H., Brassard, G., Popescu, S., Schumacher, B., Smolin, J.A., Wootters, W.K.L Phys. Rev. Lett. 76(5), 722 (1996)
Bennett, C.H., DiVincenzo, D.P., Smolin, J.A., Wootters, W.K.: Phys. Rev. A 54(5), 3824 (1996)
Peres, A.: Phys. Rev. Lett. 77(8), 1413 (1996)
Horodecki, M., Horodecki, P., Horodecki, R.: Phys. Lett. A 223, 1 (1996)
Hill, S., Wootters, W.K.: Phys. Rev. Lett. 78(26), 5022 (1997)
Wootters, W.K.: Phys. Rev. Lett. 80(10), 2245 (1998)
Biolatti, E., Iotti, R.C., Zanardi, P., Rossi, F.: Phys. Rev. Lett. 85, 5647 (2000)
Pazy, E., Biolatti, E., Calarco, T., D’Amico, I., Zanardi, P., Rossi, F., Zoller, P.: Europhys. Lett. 62, 175 (2003)
Filipp, S., van Loo, A.F., Baur, M., Steffen, L., Wallraff, A.: Phys. Rev. A 84, 061805(R) (2011). DOI 10.1103/PhysRevA.84.061805
Weisskopf, V., Wigner, E.: Z. Phys. 63, 54 (1930)
Scully, M.O., Englert, B.G., Walther, H.: Nature 351, 111 (1991)
Sitek, A., Machnikowski, P.: Phys. Rev. B 86, 205315 (2012). DOI 10.1103/PhysRevB.86.205315
Agarwal, G.S.: In: Höhler, G. (ed.) Quantum Statistical Theories of Spontaneous Emission and Their Relation to Other Approaches, Springer Tracts in Modern Physics, vol. 70. Springer, Berlin (1974)
Rudno-Rudzinski, W., Kudrawiec, R., Podemski, P., Sek, G., Misiewicz, J., Somers, A., Schwertberger, R., Reithmaier, J.P., Forchel, A.: Appl. Phys. Lett. 89(3), 031908 (2006). DOI 10.1063/1.2226503
Sitek, A., Machnikowski, P.: Phys. Stat. Sol. (b) 248(4), 847 (2011). DOI 10.1002/pssb.201000848
Sitek, A., Machnikowski, P.: Phys. Rev. B 80(11), 115319 (2009)
Borri, P., Langbein, W., Mørk, J., Hvam, J.M., Heinrichsdorff, F., Mao, M.H., Bimberg, D.: Phys. Rev. B 60(11), 7784 (1999)
Sitek, A., Machnikowski, P.: Phys. Rev. B 80(11), 115301 (2009)
Bardot, C., Schwab, M., Bayer, M., Fafard, S., Wasilewski, Z., Hawrylak, P.: Phys. Rev. B 72(3), 035314 (2005)
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This work was supported in parts by the Polish National Centre for Science (DEC-2011/01/B/ST3/02415) and by the TEAM programme of the Foundation for Polish Science, co-financed from the European Regional Development Fund.
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Karwat, P., Gawarecki, K., Roszak, K., Sitek, A., Machnikowski, P. (2014). Phonon-Assisted Processes and Spontaneous Emission in Double Quantum Dots. In: Wu, J., Wang, Z. (eds) Quantum Dot Molecules. Lecture Notes in Nanoscale Science and Technology, vol 14. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8130-0_9
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