Quantum entanglement in trimer spin-1/2 Heisenberg chains with antiferromagnetic coupling

被引:0
作者
Cima O.M.D. [1 ]
Franco D.H.T. [1 ]
da Silva S.L.L. [1 ]
机构
[1] Departamento de Física, Campus Universitário, Universidade Federal de Viçosa (UFV), Avenida Peter Henry Rolfs s/n, Viçosa, 36570-900, MG
关键词
Antiferromagnetic coupling; Decoherence temperature; Heisenberg chains; Quantum entanglement; Trimer spin-1/2;
D O I
10.1007/s40509-015-0059-1
中图分类号
学科分类号
摘要
The quantum entanglement measure is determined, for the first time, for antiferromagnetic trimer spin-1/2 Heisenberg chains. The physical quantity proposed here to measure the entanglement is the distance between states by adopting the Hilbert–Schmidt norm. The method is applied to the new magnetic Cu(II) trimer system, 2 b · 3 CuCl 2· 2 H 2O , and to the trinuclear Cu(II) halide salt, (3 MAP) 2Cu 2Cl 8. The decoherence temperature, above which the entanglement is suppressed, is determined for the both systems. A correlation among their decoherence temperatures and their respective exchange coupling constants is established; moreover, it is conjectured that the exchange coupling protects the system from decoherence as temperature increases. © 2015, Chapman University.
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页码:57 / 63
页数:6
相关论文
共 24 条
[1]  
Einstein A., Podolsky B., Rosen N., Can quantum-mechanical description of physical reality be considered complete?, Phys. Rev., 47, (1935)
[2]  
Schrodinger E., Die gegenwärtige Situation in der Quantenmechanik, Die Naturwissenschaften, 23, 807, pp. 823-844, (1935)
[3]  
Aspect A., Grangier P., Roger G., Experimental realization of Einstein-Podolsky-Rosen-Bohm gedankenexperiment: a new violation of Bell’s inequalities, Phys. Rev. Lett., 49, (1982)
[4]  
Nielsen M.A., Chuang I.L., Quantum Computation and Quantum Information, (2000)
[5]  
Galindo A., Martin-Delgado M.A., Information and computation: Classical and quantum aspects, Rev. Mod. Phys., 74, (2002)
[6]  
Sachdev S., Quantum Phase Transitions, (2000)
[7]  
Somma R., Ortiz G., Barnum H., Knill E., Viola L., Nature and measure of entanglement in quantum phase transitions, Phys. Rev. A, 70, (2004)
[8]  
Sarovar M., Ishizaki A., Fleming G.R., Whaley K.B., Quantum entanglement in photosynthetic light-harvesting complexes, Nat. Phys., 6, (2010)
[9]  
Ball P., The dawn of quantum biology, Nature, 474, (2011)
[10]  
Sahling S., Remenyi G., Paulsen C., Monceau P., Saligrama V., Marin C., Revcolevschi A., Regnault L.P., Raymond S., Lorenzo J.E., Experimental realization of long-distance entanglement between spins in antiferromagnetic quantum spin chains, Nat. Phys., 11, (2015)