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Published in: Quantum Information Processing 11/2018

01-11-2018

Herring–Flicker coupling and thermal quantum correlations in bipartite system

Author: Kapil K. Sharma

Published in: Quantum Information Processing | Issue 11/2018

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Abstract

In this paper, we study thermal quantum correlations as quantum discord and entanglement in bipartite system imposed by external magnetic field with Herring–Flicker coupling, i.e., \(J(R)=1.642 e^{-2 R} R^{5/2}+O(R^{2}e^{-2R})\). The Herring–Flicker coupling strength is the function of R, which is the distance between spins and systems carry XXX Heisenberg interaction. By tuning the coupling distance R, temperature and magnetic field quantum correlations can be scaled in the bipartite system. We find the long sustainable behavior of quantum discord in comparison with entanglement over the coupling distance R. We also investigate the situations, where entanglement totally dies but quantum discord exists in the system.

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Literature
1.
go back to reference Einstein, A., Podolsky, B., Rosen, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777 (1935)ADSCrossRef Einstein, A., Podolsky, B., Rosen, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777 (1935)ADSCrossRef
2.
go back to reference Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATH Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)MATH
3.
go back to reference Bose, S., Bayat, A., Sodano, P., Banchi, L., Verrucchi, P.: Spin Chains as Data Buses, Logic Buses and Entanglers, Chapter: Quantum State Transfer and Network Engineering, pp. 1–37 (2013) Bose, S., Bayat, A., Sodano, P., Banchi, L., Verrucchi, P.: Spin Chains as Data Buses, Logic Buses and Entanglers, Chapter: Quantum State Transfer and Network Engineering, pp. 1–37 (2013)
4.
go back to reference D’Amico, I.: Quantum dot-based quantum buses for quantum computer hardware architecture. Microelectron. J. 37, 1440 (2006)CrossRef D’Amico, I.: Quantum dot-based quantum buses for quantum computer hardware architecture. Microelectron. J. 37, 1440 (2006)CrossRef
5.
go back to reference Schirmer, S.G., Pemberton-Ross, P.J.: Fast high fidelity information transmission through spin chain quantum wires. Phys. Rev. A 80, 030301 (2009)ADSCrossRef Schirmer, S.G., Pemberton-Ross, P.J.: Fast high fidelity information transmission through spin chain quantum wires. Phys. Rev. A 80, 030301 (2009)ADSCrossRef
6.
go back to reference Haldane, F.D.M.: Exact Jastrow–Gutzwiller resonating-valence-bond ground state of the spin 1/2 antiferromagnetic Heisenberg chain with \(\frac{1}{r^{2}}\) exchange. Phys. Rev. Lett. 60, 635 (1988)ADSCrossRef Haldane, F.D.M.: Exact Jastrow–Gutzwiller resonating-valence-bond ground state of the spin 1/2 antiferromagnetic Heisenberg chain with \(\frac{1}{r^{2}}\) exchange. Phys. Rev. Lett. 60, 635 (1988)ADSCrossRef
7.
go back to reference Shastry, B.S.: Exact solution of an S=\(\frac{1}{2}\) Heisenberg antiferromagnetic chain with long-ranged interactions. Phys. Rev. Lett. 60, 639 (1988)ADSCrossRef Shastry, B.S.: Exact solution of an S=\(\frac{1}{2}\) Heisenberg antiferromagnetic chain with long-ranged interactions. Phys. Rev. Lett. 60, 639 (1988)ADSCrossRef
8.
go back to reference Lin, B., Wang, Y.S.: Quantum correlations in a long range interaction spin chain. Phys. B 407, 77 (2012)ADSCrossRef Lin, B., Wang, Y.S.: Quantum correlations in a long range interaction spin chain. Phys. B 407, 77 (2012)ADSCrossRef
9.
go back to reference XiaoSan, M., Ying, Q., GuangXing, Z., AnMin, W.: Quantum discord of thermal states of a spin chain with Calogero–Moser type interaction. Sci. China 56, 600 (2013) XiaoSan, M., Ying, Q., GuangXing, Z., AnMin, W.: Quantum discord of thermal states of a spin chain with Calogero–Moser type interaction. Sci. China 56, 600 (2013)
10.
go back to reference Bravo, B., Cabra, D.C., Gmez Albarracn, F.A., Rossini, G.L.: Long-range interactions in antiferromagnetic quantum spin chains. Phys. Rev. B 96, 054441 (2017)ADSCrossRef Bravo, B., Cabra, D.C., Gmez Albarracn, F.A., Rossini, G.L.: Long-range interactions in antiferromagnetic quantum spin chains. Phys. Rev. B 96, 054441 (2017)ADSCrossRef
11.
go back to reference Homrighausen, I., Abeling, N.O., Zauner-Stauber, V., Halimeh, J.C.: Anomalous dynamical phase in quantum spin chains with long-range interactions. Phys. Rev. B 96, 104436 (2017)ADSCrossRef Homrighausen, I., Abeling, N.O., Zauner-Stauber, V., Halimeh, J.C.: Anomalous dynamical phase in quantum spin chains with long-range interactions. Phys. Rev. B 96, 104436 (2017)ADSCrossRef
12.
go back to reference Neyenhuis, B., Zhang, J., Hess, P.W., Smith, J., Lee, A.C., Richerme, P., Gong, Z.X., Gorshkov, A.: Observation of prethermalization in long-range interacting spin chains. Sci. Adv. 3(8), e1700672 (2017)ADSCrossRef Neyenhuis, B., Zhang, J., Hess, P.W., Smith, J., Lee, A.C., Richerme, P., Gong, Z.X., Gorshkov, A.: Observation of prethermalization in long-range interacting spin chains. Sci. Adv. 3(8), e1700672 (2017)ADSCrossRef
13.
go back to reference Hunga, C.L., Gonzlez-Tudelac, A., Ignacio, C.J., Kimble, H.J.: Quantum spin dynamics with pairwise-tunable long-range interactions. PNAS 113, 34 (2016)MathSciNetCrossRef Hunga, C.L., Gonzlez-Tudelac, A., Ignacio, C.J., Kimble, H.J.: Quantum spin dynamics with pairwise-tunable long-range interactions. PNAS 113, 34 (2016)MathSciNetCrossRef
14.
go back to reference Herring, C., Flicker, M.: Asymptotic exchange coupling of two hydrogen atoms. Phys. Rev. 134, A362 (1964)ADSCrossRef Herring, C., Flicker, M.: Asymptotic exchange coupling of two hydrogen atoms. Phys. Rev. 134, A362 (1964)ADSCrossRef
15.
go back to reference Huang, Z., Kais, S.: Entanglement as measure of electron–electron correlation in quantum chemistry calculations. Chem. Phys. Lett. 413, 1 (2005)ADSCrossRef Huang, Z., Kais, S.: Entanglement as measure of electron–electron correlation in quantum chemistry calculations. Chem. Phys. Lett. 413, 1 (2005)ADSCrossRef
16.
17.
go back to reference Kamenev, D.I., Berman, G.P., Tsifrinovich, V.I.: Influence of qubit displacements on quantum logic operations in a silicon-based quantum computer with constant interaction. Phys. Rev. A 74, 042337 (2006)ADSCrossRef Kamenev, D.I., Berman, G.P., Tsifrinovich, V.I.: Influence of qubit displacements on quantum logic operations in a silicon-based quantum computer with constant interaction. Phys. Rev. A 74, 042337 (2006)ADSCrossRef
19.
go back to reference Ollivier, H., Zurek, W.H.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2001)ADSCrossRef Ollivier, H., Zurek, W.H.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2001)ADSCrossRef
23.
go back to reference Maziero, J., Guzman, H.C., Cleri, L.C., Sarandy, M.S., Serra, R.M.: Quantum and classical thermal correlations in the XY spin-\(\frac{1}{2}\) chain. Phy. Rev. A. 82, 012106 (2010)ADSCrossRef Maziero, J., Guzman, H.C., Cleri, L.C., Sarandy, M.S., Serra, R.M.: Quantum and classical thermal correlations in the XY spin-\(\frac{1}{2}\) chain. Phy. Rev. A. 82, 012106 (2010)ADSCrossRef
24.
go back to reference Yu, T., Eberly, J.H.: Finite-time disentanglement via spontaneous emission. Phys. Rev. Lett. 93, 140404 (2004)ADSCrossRef Yu, T., Eberly, J.H.: Finite-time disentanglement via spontaneous emission. Phys. Rev. Lett. 93, 140404 (2004)ADSCrossRef
26.
go back to reference Sharma, K.K., Awasthi, S.K., Pandey, S.N.: Entanglement sudden death and birth in qubit–qutrit systems under Dzyaloshinskii–Moriya interaction. Quantum Inf. Process. 12, 3437 (2013)ADSMathSciNetCrossRef Sharma, K.K., Awasthi, S.K., Pandey, S.N.: Entanglement sudden death and birth in qubit–qutrit systems under Dzyaloshinskii–Moriya interaction. Quantum Inf. Process. 12, 3437 (2013)ADSMathSciNetCrossRef
27.
go back to reference Sharma, K.K., Pandey, S.N.: Entanglement dynamics in two parameter qubit–qutrit states under Dzyaloshinskii–Moriya interaction. Quantum Inf. Process. 13, 2017 (2014)ADSCrossRef Sharma, K.K., Pandey, S.N.: Entanglement dynamics in two parameter qubit–qutrit states under Dzyaloshinskii–Moriya interaction. Quantum Inf. Process. 13, 2017 (2014)ADSCrossRef
28.
go back to reference Sharma, K.K., Pandey, S.N.: Influence of Dzyaloshinshkii–Moriya interaction on quantum correlations in two qubit Werner states and MEMS. Quantum Inf. Process. 14, 1361 (2015)ADSCrossRef Sharma, K.K., Pandey, S.N.: Influence of Dzyaloshinshkii–Moriya interaction on quantum correlations in two qubit Werner states and MEMS. Quantum Inf. Process. 14, 1361 (2015)ADSCrossRef
29.
go back to reference Sharma, K.K., Pandey, S.N.: Dzyaloshinshkii–Moriya interaction as an agent to free the bound entangled states. Quantum Inf. Process. 15, 1539 (2016)ADSMathSciNetCrossRef Sharma, K.K., Pandey, S.N.: Dzyaloshinshkii–Moriya interaction as an agent to free the bound entangled states. Quantum Inf. Process. 15, 1539 (2016)ADSMathSciNetCrossRef
30.
go back to reference Sharma, K.K., Pandey, S.N.: Dynamics of entanglement in two parameter qubit–qutrit states with x-component of DM interaction. Commun. Theor. Phys. 65, 278 (2016)ADSCrossRef Sharma, K.K., Pandey, S.N.: Dynamics of entanglement in two parameter qubit–qutrit states with x-component of DM interaction. Commun. Theor. Phys. 65, 278 (2016)ADSCrossRef
31.
go back to reference Sharma, K.K., Pandey, S.N.: Robustness of W and Greenberger Horne Zeilinger states against Dzyaloshinskii–Moriya interaction Quant. Inf. Proc. 15, 4995 (2016)CrossRef Sharma, K.K., Pandey, S.N.: Robustness of W and Greenberger Horne Zeilinger states against Dzyaloshinskii–Moriya interaction Quant. Inf. Proc. 15, 4995 (2016)CrossRef
32.
33.
go back to reference Cavalcanti, D., Skrzypczyk, P.: Quantum steering: a review with focus on semidefinite programming. Rep. Prog. Phys. 80, 024001 (2017)ADSMathSciNetCrossRef Cavalcanti, D., Skrzypczyk, P.: Quantum steering: a review with focus on semidefinite programming. Rep. Prog. Phys. 80, 024001 (2017)ADSMathSciNetCrossRef
34.
go back to reference Sainz, A.B., Aolita, L., Piani, M., Hoban, M.J., Skrzypczyk, P.: A formalism for steering with local quantum measurements, arXiv:1708.00756 (2017) Sainz, A.B., Aolita, L., Piani, M., Hoban, M.J., Skrzypczyk, P.: A formalism for steering with local quantum measurements, arXiv:​1708.​00756 (2017)
35.
go back to reference Arnesen, M.C., Bose, S., Vedral, V.: Natural thermal and magnetic entanglement in 1D Heisenberg model. Phys. Rev. Lett. 87, 017901 (2001)ADSCrossRef Arnesen, M.C., Bose, S., Vedral, V.: Natural thermal and magnetic entanglement in 1D Heisenberg model. Phys. Rev. Lett. 87, 017901 (2001)ADSCrossRef
36.
37.
go back to reference Wang, C.Z., Li, C.X., Nie, L.Y., Li, J.F.: Classical correlation and quantum discord mediated by cavity in two coupled qubits. J. Phys. B At. Mol. Opt. 44, 015503 (2011)ADSCrossRef Wang, C.Z., Li, C.X., Nie, L.Y., Li, J.F.: Classical correlation and quantum discord mediated by cavity in two coupled qubits. J. Phys. B At. Mol. Opt. 44, 015503 (2011)ADSCrossRef
Metadata
Title
Herring–Flicker coupling and thermal quantum correlations in bipartite system
Author
Kapil K. Sharma
Publication date
01-11-2018
Publisher
Springer US
Published in
Quantum Information Processing / Issue 11/2018
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-018-2089-1

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