Effect of the Variable B-Field on the Dynamic of a Central Electron Spin Coupled to an Anti-Ferromagnetic Qubit Bath

Martin Tchoffo^{*},
Georges Collince Fouokeng,
Siaka Massou,
Ngwa Engelbert Afuoti,
Issofa Nsangou,
Lukong Cornelius Fai,
Alex Ghislain Tchouadeu,
Jean-Pierre Kenné

Show more

References

[1] D. Guilini, E. Joos, C. Kiefer, J. Kupsch, I. O. Stamatescu and H. D. Zeh, “World in Quantum Theory,” Springer-Verlag, Berlin Heidelberg, 1996.

[2] R. R. Chance, A. Prock and R. Silbey, “Molecular Fluorescence and Energy Transfer near Metal Interfaces,” Advances in Chemical Physics, Vol. 37, 1978, pp. 1-65.
doi:10.1002/9780470142561.ch1

[3] E. M. Purcell, “Spontaneous Emission Probabilities at Radio Frequencies,” Physical Review, Vol. 69, 1946, p. 681.

[4] Th. F?rster, “Zwischenmolekulare Energiewanderung und. Fluoreszenz,” Annalen der Physik, Vol. 437, No. 1-2, 1948, pp. 55-75. doi:10.1002/andp.19484370105

[5] G. W. Ford, J. T. Lewis and R. F. O’Connell, “Quantum Measurement and Decoherence,” Physical Review A, Vol. 64, No. 3, 2001, Article ID: 032101.
doi:10.1103/PhysRevA.64.032101

[6] A. Venugopalan, “Pointer States via Decoherence in a Quantum Measurement,” Physical Review A, Vol. 61, No. 1, 1999, pp. 012102-012109.
doi:10.1103/PhysRevA.61.012102

[7] G. Dominique, D. V. Jan and A. Vinay, “Comment on Quantum Measurement and Decoherence,” Physical Review A, Vol. 70, No. 2, 2004, pp. 1-4.
doi:10.1103/PhysRevA.70.026101

[8] V. Ambegaokar, “Negotiating the Tricky Border between Quantum and Classical,” Physics Today, Vol. 46, No. 4, 1993, p. 82.

[9] R. ADAMI and C. Negulescu, “A Numerical Study of Quantum Decoherence,” Communications in Computational Physics, Vol. 12, 2012, pp. 85-108.
doi:10.4208/cicp.011010.010611a

[10] R. Adami and L. Erdos, “Rate of Decoherence for an Electron Weakly Coupled to a Phonon Gas,” Journal of Statistical Physics, Vol. 132, 2008, pp. 301-328.
doi:10.1007/s10955-008-9561-8

[11] A. Bertoni, “Simulation of Electron Decoherence Induced by Carrier-Carrier Scattering,” Journal of Computational Electronics, Vol. 2, 2003, pp. 291-295.
doi:10.1023/B:JCEL.0000011440.86454.13

[12] L. Novotny and B. Hecht, “Principles of Nano-Optics,” Cambridge University Press, Cambridge, 2006.
doi:10.1017/CBO9780511813535

[13] Y. Xiao-Zhong, G. Hsi-Sheng and Z. Ka-Di, “In?uence of an External Magnetic Field on the Decoherence of a Central Spin Coupled to an Antiferromagnetic Environment,” New Journal of Physics, Vol. 9, 2007, p. 219.
doi:10.1088/1367-2630/9/7/219

[14] C. L. Garrido Alzar, M. A. G. Martinez and P. Nussenzveig, “Classical Analog of Electromagnetically Induced Transparency,” American Journal of Physics, Vol. 70, No. 1, 2000, p. 37. doi:10.1119/1.1412644

[15] W. Frank and P. von Brentano, “Classical Analogy to Quantum Mechanical Level Repulsion,” American Journal of Physics, Vol. 62, No. 8, 1994, pp. 706-709.
doi:10.1119/1.17500

[16] H. J. Maris and Q. Xiong, “Adiabatic and Nondiabatic Processes in Classical and Quantum Mechanics,” American Journal of Physics, Vol. 56, No. 12, 1988, pp. 1114-1117. doi:10.1119/1.15734

[17] B. W. Shore, M. V. Gromovyy, L. P. Yatsenko and V. I. Romanenko, “Simple Mechanical Analogs of Rapid Adiabatic Passage in Atomic Physics,” American Journal of Physics, Vol. 77, No. 12, 2009, pp. 1183-1194.

[18] C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres and W. K. Wootters, “Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels,” Physical Review Letters, Vol. 70, 1993, pp. 1895-1899. doi:10.1103/PhysRevLett.70.1895

[19] D. Bouwmeester, J. W. Pan, K. Mattle, M. Eibl, H. Weinfurter and A. Zeilinger, “Experimental Quantum Teleportation,” Nature, Vol. 390, 1997, pp. 575-579.
doi:10.1038/37539

[20] C. H. Bennett, G. Brassard and A. K. Ekert, “Quantum Cryptography,” Scientific American, Vol. 267, No. 4, 1992, pp. 50-57. doi:10.1038/scientificamerican1092-50

[21] C. H. Bennett and S. J. Wiesner, “Communication via One- and Two-Particle Operators on Rosen states,” Physical Review Letters, Vol. 69, 1992, pp. 2881-2884.
doi:10.1103/PhysRevLett.69.2881

[22] M. Murao, D. Jonathan, M. B. Plenio and V. Vedral, “Quantum Telecloning and Multiparticle Entanglement,” Physical Review A, Vol. 59, No. 1, 1999, pp. 156-161.
doi:10.1103/PhysRevA.59.156

[23] H. Le Gall, “Dynamique de Spin et Interactions Spin-Pho-Ton,” Revue de Physique Appliquée, Vol. 9, No. 5, 1974, pp. 793-818. doi:10.1051/rphysap:0197400905079300

[24] G. Jona-Lasinio, C. Presilla and C. Toninelli, “A Mean Field Model and Comparison with Experiments,” Physical Review Letters, Vol. 88, 2002, Article ID: 123001.
doi:10.1103/PhysRevLett.88.123001

[25] R. Silbey and R. A. Harris, “Variational Calculation of the Dynamics of a Two Level System Interacting with a Bath,” Journal of Chemical Physics, Vol. 80, No. 6, 1984, p. 2615. doi:10.1063/1.447055

[26] P. G. de Gennes “Nuclear Magnetic Resonance Modes in Magnetic Material. I. Theory,” Physical Review, Vol. 129, No. 3, 1963, pp. 1105-1115.
doi:10.1103/PhysRev.129.1105

[27] U. Upadhyaya and K. Sinha, “Phonon-Magnon Interaction in Magnetic Crystals. II. Antiferromagnetic Systems,” Physical Review, Vol. 130, No. 3, 1963, pp. 939-944. doi:10.1103/PhysRev.130.939

[28] K. Yosida, “Theory of Magnetism,” Springer Series in Solid-State Sciences, Vol. 122, 2010, 320 p.

[29] C. Cohen-Tannoudji, J. Dupont-Roc and G. Grynberg, “Atom-Photon Interactions,” Wiley-VCH Verlag, Weinheim, 2004.

[30] L. Novotny and Strong Coupling, “Energy Splitting, and Level Crossings: A Classical Perspective,” University of Rochester, Rochester, 2010.

[31] S. Yunoki, “Numerical Study of the Spin-Flop Transition in Anisotropic Spin-1/2 Antiferromagnets,” Physical Review B, Vol. 65, No. 9, 2002, Article ID: 092402.
doi:10.1103/PhysRevB.65.092402

[32] A. L. Dantas, S. R. Vieira, N. S. Almeida and A. S. Carrico, “Soft Mode of Antiferromagnetic Multilayers near the Surface Spin-Flop Transition,” Physical Review B, Vol. 71, No. 1, 2005, Article ID: 014409.
doi:10.1103/PhysRevB.71.014409

[33] D. Joonghoe, C. W. Leung, Z. H. Barber and M. G. Blamire, “Competing Functionality in Multiferroic YMnO3,” Physical Review B, Vol. 71, No. 18, 2005, Article ID: 180402.

[34] Y. Xiao-Zhong, G. Hsi-Sheng and Z. Ka-Di, “Dynamics of a Driven Spin Coupled to an Antiferromagnetic Spin Bath,” New Journal of Physics, Vol. 13, 2011, Article ID: 023018. doi:10.1088/1367-2630/13/2/023018

[35] H. Hwang and P. J. Rossky, “An Analysis of Electronic Dephasing in the Spin-Boson Mode,” Journal of Chemical Physics, Vol. 120, No. 24, 2004, Article ID: 11380.
doi:10.1063/1.1742979

[36] S. Paganelli, F. De Pasquale and S. M. Giampaolo, “Decoherence Slowing down in a Symmetry-Broken Environment,” Physical Review A, Vol. 66, No. 5, 2002, Article ID: 052317.

[37] H. T. Quan, Z. Song, X. F. Liu, P. Zanardi and C. P. Sun, “Decay of Loschmidt Echo Enhanced by Quantum Criticality,” Physical Review Letters, Vol. 96, 2006, Article ID: 140604. doi:10.1103/PhysRevLett.96.140604

[38] F. M. Cucchietti, S. Fernandez-Vidal and J. P. Paz, “Universal decoherence induced by an environmental quantum phase transition”, Physical Review A, Vol. 75, No. 3, 2007, Article ID: 032337.
doi:10.1103/PhysRevA.75.032337

[39] P. Zanardi, H. T. Quan, X. G. Wang and C. P. Sun, “Mixed-State Fidelity and Quantum Criticality at Finite Temperature,” Physical Review A, Vol. 75, No. 2007, pp. 1-7.