Study of decoherence in a system of superconducting flux-qubits interacting with an ensemble of electrons. (English) Zbl 1367.81092
Summary: The degree of coherence in a hybrid system composed of superconducting flux-qubits and an electron ensemble is analysed. Both, the interactions among the electrons and among the superconducting flux-qubits are taken into account. The time evolution of the hybrid system is solved exactly, and discussed in terms of the reduced density matrix of each subsystem. It is seen that the inclusion of a line width, for the electrons and for the superconducting flux-qubits, influences the pattern of spin-squeezing and the coherence of the superconducting flux qubits.
References:
| [1] | Wilson, A. C., Nature, 512, 57 (2014) |
| [2] | van der Sar, T., Nature, 484, 82 (2012) |
| [3] | Mishra, S. K.; Chotorlishvili, L.; Rau, A. R.P.; Berakdar, J., Phys. Rev. A, 90, Article 033817 pp. (2014) |
| [4] | Greenland, P. T., Nature, 465, 1057 (2010) |
| [5] | Togan, E., Nature, 466, 730 (2010) |
| [6] | Eastham, P. R.; Kirton, P.; Cammack, H. M.; Lovett, B. W.; Keeling, J., Phys. Rev. A, 94, Article 012110 pp. (2016) |
| [7] | Vamivakas, A. N.; Atatüre, M., Contemp. Phys., 51, 17 (2010) |
| [8] | Eastham, P. R.; Spracklen, A. O.; Keeling, J., Phys. Rev. B, 87, Article 195306 pp. (2013) |
| [9] | Boyanovsky, D., Phys. Rev. A, 87, Article 033815 pp. (2013) |
| [10] | Xiang, Ze-Liang; Ashhab, Sahel; You, J. Q.; Nori, F., Rev. Modern Phys., 85, 623 (2013) |
| [11] | Zhu, X., Nature, 478, 221 (2011) |
| [12] | Lü, Xin-You; Xiang, Ze-Liang; Cui, Wei; You, J. Q.; Nori, Franco, Phys. Rev. A, 88, Article 012329 pp. (2013) |
| [13] | Metwally, N.; Wahiddin, M. R.B.; Bourennane, M., Opt. Commun., 257, 206 (2006) |
| [14] | Hümmer, T.; Reuther, G. M.; Hänggi, P.; Zueco, D., Phys. Rev. A, 85, Article 052320 pp. (2012) |
| [15] | Qiu, Yueyin; Xiong, Wei; Tian, Lin; You, J. Q., Phys. Rev. A, 89, Article 042321 pp. (2014) |
| [16] | Schlosshauer, M., Rev. Modern Phys., 76, 1267 (2004), and references therein |
| [17] | Damski, B.; Quan, H. T.; Zurek, W. H., Phys. Rev. A, 83, Article 062104 pp. (2011) |
| [18] | Ma, J.; Wang, X.; Sun, C. P.; Nori, F., Phys. Rep., 509, 89 (2011) |
| [19] | Sun, Zhe, Phys. Rev. A, 84, Article 052307 pp. (2011) |
| [20] | Dodonov, V. V.; Valverde, C.; Souza, L. S.; Baseia, B., Ann. Physics, 37, 296 (2016) |
| [21] | Lee, Tony E.; Reiter, Florentin; Moiseyev, Nimrod, Phys. Rev. Lett., 113, Article 250401 pp. (2014) |
| [22] | Wu, Ling-Na; Jin, Guang-Ri; You, L., Phys. Rev. A, 92, Article 033826 pp. (2015) |
| [23] | Ma, Yong-Hong; Zhang, Xue-Feng, Phys. Rev. B, 89, Article 144113 pp. (2014) |
| [24] | Ma, Yong-Hong; Zhang, Xue-Feng; Song, Jie; Wu, E., Ann. Physics, 369, 36 (2016) · Zbl 1380.81459 |
| [25] | Matsuzaki, Yuichiro; Zhu, Xiaobo; Kakuyanagi, Kosuke; Toida, Hiraku; Shimo-Oka, Takaaki; Mizuochi, Norikazu; Nemoto, Kae; Semba, Kouichi; Munro, William J.; Yamaguchi, Hiroshi; Saito, Shiro, Phys. Rev. Lett., 114, Article 120501 pp. (2015) |
| [26] | Fernholz, T.; Krauter, H.; Jensen, K.; Sherson, J. F.; Sørensen, A. S.; Polzik, E. S., Phys. Rev. Lett., 101, Article 073601 pp. (2008) |
| [27] | Lipkin, H. J.; Meshkov, N.; Glick, A. J., Nuclear Phys., 62, 188 (1965) |
| [28] | Ring, P.; Schuck, P., The Nuclear Many Body Problem (1980), Springer Verlag: Springer Verlag Berlin, Heidelberg |
| [29] | Kitagawa, M.; Ueda, M., Phys. Rev. A, 47, 5138 (1993) |
| [30] | Mizuochi, N.; Neumann, P.; Rempp, F.; Beck, J.; Jacques, V.; Siyushev, P.; Nakamura, K.; Twitchen, D. J.; Watanabe, H.; Yamasaki, S.; Jelezko, F.; Wrachtrup, J., Phys. Rev. B, 80, 041201(R) (2009) |
| [31] | Stanwix, P. L.; Pham, L. M.; Maze, J. R.; Le Sage, D.; Yeung, T. K.; Cappellaro, P.; Hemmer, P. R.; Yacoby, A.; Lukin, M. D.; Walsworth, R. L., Phys. Rev. B, 82, 201201(R) (2010) |
| [32] | Farfurnik, D.; Jarmola, A.; Pham, L. M.; Wang, Z. H.; Dobrovitski, V. V.; Walsworth, R. L.; Budker, D.; Bar-Hill, N., Phys. Rev. B, 92, 201201(R) (2015) |
| [33] | van der Ploeg, S. H.W., Phys. Rev. Lett., 98, Article 057004 pp. (2007) |
| [34] | Niskanen, A. O., Science, 316, 723 (2007) |
| [35] | Hime, T., Science, 314, 1427 (2006) |
| [36] | Stern, M.; Catelani, G.; Kubo, Y.; Grezes, C.; Bienfait, A.; Vion, D.; Esteve, D.; Bertet, P., Phys. Rev. Lett., 113, Article 123601 pp. (2014) |
| [37] | Xue, Zheng-Yuan, Quantum Inf. Process., 15, 721 (2016) · Zbl 1333.81109 |
| [38] | Wen, Huang; Xu-Bo, Zou; Guang, Guo, Chin. Phys. B, 24, Article 064207 pp. (2015) |
| [39] | Marcos, D.; Wubs, M.; Taylor, J. M.; Aguado, R.; Lukin, M. D.; Sørensen, A. S., Phys. Rev. Lett., 105, Article 210501 pp. (2010) |
| [40] | Orlando, T. P.; Mooij, J. E.; Tian, Lin; van der Wal, Caspar H.; Levitov, L. S.; Lloyd, Seth; Mazo, J. J., Phys. Rev. B, 60, 15398 (1999) |
| [41] | Plourde, B. L.T.; Zhang, J.; Whaley, K. B.; Wilhelm, F. K.; Robertson, T. L.; Hime, T.; Linzen, S.; Reichardt, P. A.; Wu, C.-E.; Clarke, John, Phys. Rev. B, 70, Article 140501 pp. (2004) |
| [42] | Ballesteros, A.; Civitarese, O.; Herranz, F. J.; Reboiro, M., Phys. Rev. B, 68, Article 214519 pp. (2003) |
| [43] | Dooley, Shane; Yukawa, Emi; Matsuzaki, Yuichiro; Knee, George C.; Munro, William J.; Nemoto, Kae, New J. Phys., 18, Article 053011 pp. (2016) |
| [44] | Bennett, S. D.; Yao, N. Y.; Otterbach, J.; Zoller, P.; Rabl, P.; Lukin, M. D., Phys. Rev. Lett., 110, Article 156402 pp. (2013) |
| [45] | Doherty, M. W.; Dolde, F.; Fedder, H.; Jelezko, F.; Wrachtrup, J.; Manson, N. B.; Hollenberg, L. C.L., Phys. Rev. B, 85, Article 205203 pp. (2012) |
| [46] | Taylor, J. M.; Capperallo, P.; Childress, L.; Jiang, L.; Budker, D.; Hemmer, P. R.; Yacoby, A.; Walsworth, R.; Lukin, M. D., Nat. Phys., 4, 810 (2008) |
| [47] | Civitarese, O.; Reboiro, M.; Rebón, L.; Tielas, D., Phys. Lett. A, 374, 424 (2010) · Zbl 1235.82010 |
| [48] | Civitarese, O.; Reboiro, M.; Rebón, L.; Tielas, D., Phys. Lett. A, 373, 754 (2009) · Zbl 1235.82010 |
| [49] | Feshbach, H., Ann. Physics, 5, 357 (1958) · Zbl 0083.44202 |
| [50] | Rotter, I.; Bird, J. P., Rep. Progr. Phys., 78, Article 114001 pp. (2015) |
| [51] | Reboiro, M.; Civitarese, O.; Rebón, L., Phys. Lett. A, 366, 241 (2007) |
| [52] | Hecht, K. T., (Araki, H.; etal., Lecture Notes in Physics, Vol. 290 (1980), Springer-Verlag: Springer-Verlag Berlin) |
| [53] | Luis, A.; Korolkova, N., Phys. Rev. A, 74, Article 043817 pp. (2006) |
| [54] | Reiter, Florentin; Kastoryano, Michael J.; Sørensen, Anders S., New J. Phys., 14, Article 053022 pp. (2012) |
| [55] | Zoller, P.; Marte, M.; Walls, D. F., Phys. Rev. A, 35, 198 (1987) |
| [56] | Dalibard, J.; Castin, Y.; Mølmer, K., Phys. Rev. Lett., 68, 580 (1992) |
| [57] | Plenio, M. B.; Knight, P. L., Rev. Modern Phys., 70, 101 (1998) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
