Quantum correlation and coherence in dissipative two SC-qubit systems interacting with a coherent SC-cavity. (English) Zbl 1428.81028
Summary: An analytical solution of the master equation is obtained for a coherent SC-cavity interacts with two SC-qubits. With this solution, the effect of an intrinsic decoherence on the growth of coherence loss (mixture) and the entanglement degradation is shown. Due to the intrinsic decoherence, the oscillatory behavior of the qubit-inversion is deteriorated, and its amplitude decreases. Where its stationary state refers to that the energy is stored more in the SC-qubits. The growth of the mixture is investigated for the entire system and its sub-systems of the SC-cavity and two qubits. The entanglement is studied for two different partitions, between the SC-cavity and the two qubits as well as between the two qubits. It is found that the generation of the entanglement and mixture and their stationary values depend on the initial coherence intensity and the intrinsic decoherence rate. The stationary entanglement and mixture, and the phenomena of sudden appearance and disappearance of the entanglement could be controlled by adjusting the intrinsic noise rate and the initial coherence intensity.
MSC:
| 81P40 | Quantum coherence, entanglement, quantum correlations |
| 81S22 | Open systems, reduced dynamics, master equations, decoherence |
| 81V80 | Quantum optics |
References:
| [1] | Liu, H.; Suh, SJ, No article title, Phys. Rev. D, 89, 066012 (2014) · doi:10.1103/PhysRevD.89.066012 |
| [2] | Bianchi, E.; Lorenzo, T.; Smerlak, M., No article title, J. High Energy Phys., 2016, 180 (2015) · Zbl 1390.81379 · doi:10.1007/JHEP11(2016)180 |
| [3] | Alba, V.; Calabrese, P., No article title, Proc. Natl. Acad. Sci., 114, 7947 (2017) · Zbl 1404.82033 · doi:10.1073/pnas.1703516114 |
| [4] | Islam, R.; Ma, R.; Preiss, PM; Tai, ME; Lukin, A., No article title, Nature, 528, 77 (2015) · doi:10.1038/nature15750 |
| [5] | Kaufman, AM; Tai, ME; Lukin, A.; Rispoli, M.; Schittko, R.; Preiss, PM; Greiner, M., No article title, Science, 353, 794 (2016) · doi:10.1126/science.aaf6725 |
| [6] | Jha, PK; Eleuch, H.; Rostovtsev, YV, No article title, Phys. Rev. A, 82, 045805 (2010) · doi:10.1103/PhysRevA.82.045805 |
| [7] | Mohamed, A-B, No article title, Phys. Lett. A, 374, 4115 (2010) · Zbl 1238.81033 · doi:10.1016/j.physleta.2010.08.028 |
| [8] | Sete, EA; Svidzinsky, AA; Rostovtsev, YV; Eleuch, H.; Jha, PK; Suckewer, S.; Scully, MO, No article title, IEEE J. Sel. Top. Quantum Electron., 18, 541 (2012) · doi:10.1109/JSTQE.2011.2135339 |
| [9] | Mohamed, A-B; Eleuch, H., No article title, Eur. Phys. J. D, 69, 191 (2015) · doi:10.1140/epjd/e2015-60198-0 |
| [10] | Berrada, K.; Abdel-Khalek, S.; Eleuch, H.; Hassouni, Y., No article title, Quantum Inf. Process., 12, 69 (2013) · Zbl 1263.81020 · doi:10.1007/s11128-011-0344-9 |
| [11] | Mohamed, A-BA; Joshi, A.; Hassan, SS, No article title, J. Phys. A: Math. Theor., 47, 335301 (2014) · Zbl 1296.81015 · doi:10.1088/1751-8113/47/33/335301 |
| [12] | Nakamura, Y.; Pashkin, YA; Tsai, JS, No article title, Nature, 398, 786 (1999) · doi:10.1038/19718 |
| [13] | You, JQ; Nori, F., No article title, Phys. Rev. B, 68, 064509 (2003) · doi:10.1103/PhysRevB.68.064509 |
| [14] | Gu, X.; Kockum, AF; Miranowicz, A.; Liu, Y-X; Nori, F., No article title, Phys. Rep., 1, 1718 (2017) |
| [15] | Metwally, N., No article title, J. Opt. Soc. Am. B, 29, 389 (2012) · doi:10.1364/JOSAB.29.000389 |
| [16] | Mohamed, A-BA; Metwally, N., No article title, Ann. Phys., 381, 137 (2017) · Zbl 1364.81045 · doi:10.1016/j.aop.2017.02.009 |
| [17] | Mohamed, A-BA; Hessian, HA, No article title, Physica E, 44, 1552 (2012) · Zbl 1261.81112 · doi:10.1016/j.physe.2012.03.026 |
| [18] | Said, T.; Chouikh, A.; Essammouni, K., No article title, Quant. Inf. Comput., 16, 0465 (2016) |
| [19] | Obada, A-SF; Hessian, HA; Mohamed, A-BA; Homid, AH, No article title, J. Opt. Soc. Am. B, 30, 1178 (2013) · doi:10.1364/JOSAB.30.001178 |
| [20] | Eleuch, H.; Rotter, I., No article title, Eur. Phys. J. D, 69, 229 (2015) · doi:10.1140/epjd/e2015-60389-7 |
| [21] | Mohamed, A-BA, No article title, Int. J. Theor. Phys., 51, 2779 (2012) · Zbl 1261.81033 · doi:10.1007/s10773-012-1153-3 |
| [22] | Eleuch, H.; Rotter, I., No article title, Phys. Rev. A, 95, 022117 (2017) · doi:10.1103/PhysRevA.95.022117 |
| [23] | Eleuch, H.; Rotter, I., No article title, Eur. Phys. J. D, 68, 74 (2014) · doi:10.1140/epjd/e2014-40780-8 |
| [24] | Milburn, GJ, No article title, Phys. Rev. A, 44, 5401 (1991) · doi:10.1103/PhysRevA.44.5401 |
| [25] | Gardiner, C.W.: Quantum Noise. Springer, Berlin (1991) · Zbl 0773.60095 · doi:10.1007/978-3-662-09642-0 |
| [26] | Li, S-B; Xu, J-B, No article title, Phys. Rev. A, 72, 022332 (2005) · doi:10.1103/PhysRevA.72.022332 |
| [27] | Guo, J-L; Song, H-S, No article title, J. Mod. Opt., 56, 496 (2009) · Zbl 1171.81327 · doi:10.1080/09500340802488557 |
| [28] | Zheng, L.; Zhang, G-F, No article title, Eur. Phys. J. D, 71, 288 (2017) · doi:10.1140/epjd/e2017-80408-y |
| [29] | He, Q-L; Xu, J-B, No article title, Opt. Commun., 284, 3649 (2011) · doi:10.1016/j.optcom.2011.03.080 |
| [30] | Obada, A-SF; Mohamed, A-BA, No article title, Opt. Commun., 309, 236 (2013) · doi:10.1016/j.optcom.2013.07.028 |
| [31] | Fan, K-M; Zhang, G., No article title, Eur. Phys. J. D, 68, 163 (2014) · doi:10.1140/epjd/e2014-50145-0 |
| [32] | Mohamed, A-BA, No article title, Rep. Math. Phys., 72, 121 (2013) · doi:10.1016/S0034-4877(14)60009-4 |
| [33] | Obada, A-SF; Abdel-Hafez, AM; Hessian, HA, No article title, J. Phys. B, 31, 5085 (1998) · doi:10.1088/0953-4075/31/23/007 |
| [34] | Anwar, SJ; Ramzan, M.; Khan, MK, No article title, Quantum Inf. Process., 16, 142 (2017) · Zbl 1373.81045 · doi:10.1007/s11128-017-1589-8 |
| [35] | Obada, A-SF; Hessian, HA, No article title, J. Opt. Soc. Am. B, 21, 1535 (2004) · doi:10.1364/JOSAB.21.001535 |
| [36] | Hessian, HA; Ritsch, H., No article title, J. Phys. B, 35, 4619 (2002) · doi:10.1088/0953-4075/35/22/305 |
| [37] | Mohamed, A-BA; Metwally, N., No article title, Physica E, 102, 1 (2018) · doi:10.1016/j.physe.2018.04.022 |
| [38] | Makhlin, Y.; Schon, G.; Shnirman, A., No article title, Nature, 398, 305 (1999) · doi:10.1038/18613 |
| [39] | You, JQ; Nori, F., No article title, Physica E, 18, 33 (2003) · doi:10.1016/S1386-9477(02)00945-1 |
| [40] | Liu, Y-X; Wei, LF; Nori, F., No article title, Phys. Rev. A, 72, 033818 (2005) · doi:10.1103/PhysRevA.72.033818 |
| [41] | Xiang, Z-L; Ashhab, S.; You, JQ; Nori, F., No article title, Rev. Mod. Phys., 85, 624 (2013) · doi:10.1103/RevModPhys.85.623 |
| [42] | Bennett, CH; Bernstein, HJ; Popescu, S.; Schumacher, B., No article title, Phys. Rev. A, 53, 2046 (1996) · doi:10.1103/PhysRevA.53.2046 |
| [43] | Henderson, L.; Vedral, V., No article title, Phys. Rev. Lett., 84, 2263 (2000) · doi:10.1103/PhysRevLett.84.2263 |
| [44] | Phoenix, SJD; Knight, PL, No article title, Phys. Rev. A, 44, 6023 (1991) · doi:10.1103/PhysRevA.44.6023 |
| [45] | Obada, A-SF; Hessian, HA; Mohamed, A-BA, No article title, Laser Phys., 18, 1111 (2008) · doi:10.1134/S1054660X08090193 |
| [46] | Araki, H.; Lieb, E., No article title, Commun. Math. Phys., 18, 160 (1970) · doi:10.1007/BF01646092 |
| [47] | Abdalla, MS; Khalil, EM; Obada, AS-F; Peřina, J.; Křepelka, J., No article title, Eur. Phys. J. Plus, 130, 227 (2015) · doi:10.1140/epjp/i2015-15227-9 |
| [48] | Vidal, G.; Werner, RF, No article title, Phys. Rev. A, 65, 032314 (2002) · doi:10.1103/PhysRevA.65.032314 |
| [49] | Yu, T.; Eberly, JH, No article title, Phys. Rev. Lett., 93, 140404 (2004) · doi:10.1103/PhysRevLett.93.140404 |
| [50] | Eberly, JH; Yu, T., No article title, Science, 316, 555 (2007) · doi:10.1126/science.1142654 |
| [51] | Yu, T.; Eberly, JH, No article title, Science, 323, 598 (2009) · Zbl 1226.81024 · doi:10.1126/science.1167343 |
| [52] | Mohamed, A-BA; Hessian, HA; Obada, A-SF, No article title, Physica A, 390, 519 (2011) · doi:10.1016/j.physa.2010.08.027 |
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.
