Abstract
We study behavior of quantum discord, a kind of quantum correlation, in systems of dipole–dipole interacting spins in an external magnetic field in the whole temperature range (\(-\infty <T<\infty \)). It was shown that negative temperatures, which are introduced to describe inversions in the population in a finite level system, provide more favorable conditions for emergence of quantum correlations including entanglement. We show that at negative temperature, the correlations become more intense and discord exists between remote spins being in separated states.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Benenti, G., Casati, G., Strini, G.: Principles of Quantum Computation and Information, vol. I and II. World Scientific, Singapore (2007)
Amico, L., Fazio, R., Osterloh, A., Vedral, V.: Entanglement in many-body systems. Rev. Mod. Phys. 80, 517 (2008)
Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Quantum entanglement. Rev. Mod. Phys. 81, 885 (2009)
Modi, K., Brodutch, A., Cable, H., Paterek, T., Vedral, V.: The classical-quantum boundary for correlations: discord and related measures. Rev. Mod. Phys. 84, 1655–1707 (2012)
Ollivier, H., Zurek, W.H.: Quantum discord: a measure of the quantumness of correlations. Phys. Rev. Lett. 88, 017901 (2001)
Henderson, L., Vedral, V.: Classical, quantum and total correlations. J. Phys. A 34, 6899 (2001)
Vedral, V.: Classical correlations and entanglement in quantum measurements. Phys. Rev. Lett. 90, 050401 (2003)
Rau, A.R.P.: Algebraic characterization of X-states in quantum information. J. Phys. A Math. Theor. 42, 412002 (2009)
Ali, M., Rau,A.R.P., Alber,G.: Quantum discord for two-qubit X states, Phys. Rev. A 81, 042105 (2010), 82, 069902(E) (2010)
Vinjanampathy, S., Rau, A.R.P.: Generalized X states of N qubits and their symmetries. Phys. Rev. A 82, 032336 (2010)
Chen, Qing, Zhang, Chengjie, Yu, Sixia, Yi, X.X., Oh, C.H.: Quantum discord of two-qubit X states. Phys. Rev. A 84, 042313 (2011)
Xiao-Ming, Lu, Ma, Jian, Xi, Zhengjun, Wang, Xiaoguang: Optimal measurements to access classical correlations of two-qubit states. Phys. Rev. A 83, 012327 (2011)
Vinjanampathy, S., Rau, A.R.P.: Quantum discord for qubit-qudit systems. J. Phys. A Math. Theor. 45, 095303 (2012)
Huang, Yichen: Quantum discord for two-qubit X states: analytical formula with very small worst-case error. Phys. Rev. A 88, 014302 (2013)
Purcell, E.M., Pound, R.V.: A nuclear spin system at negative temperature. Phys. Rev. 81, 279 (1951)
Landau, L.D., Lifshitz, E.M.: Statistical Physics, part 1, Third Revised and Enlarged Edition. Pergamon press, Oxford (1980)
Ramsey, N.F.: Thermodynamics and statistical mechanics at negative absolute temperatures. Phys. Rev. 103, 20 (1956)
Klein, M.J.: Negative absolute temperatures. Phys. Rev. 104, 589 (1956)
Medley, P., Weld, D.M., Miyake, H., Pritchard, D.E., Ketterle, W.: Spin gradient demagnetization cooling of ultracold atoms. Phys. Rev. Lett. 106, 195301 (2011)
Braun, S., Ronzheimer, J.P., Schreiber, M., Hodgman, S.S., Rom, T., Bloch, I., Schneider, U.: Negative absolute temperature for motional degrees of freedom. Science 339, 52 (2013)
Furman, G.B., Meerovich, V.M., Sokolovsky, V.L.: Quantum entanglement at negative temperature. J. Phys. A Math. Theor. 46, 135303 (2013)
Furman, G.B., Meerovich, V.M., Sokolovsky, V.L.: Zero field entanglement in dipolar coupling spin system at negative temperature. Int J Quantum Inf 11, 1350050 (2013)
Abragam, A.: The Principle of Magnetic Resonance. Clarendon Press, Oxford (1961)
Furman, G.B., Meerovich, V.M., Sokolovsky, V.L.: Nuclear polarization and entanglement in spin systems. Quantum Inf Process 8, 283 (2009)
Furman, G.B., Meerovich, V.M., Sokolovsky, V.L.: Entanglement of dipolar coupling spins. Quantum Inf Process 10, 307 (2011)
Furman, G.B., Meerovich, V.M., Sokolovsky, V.L.: Entanglement in dipolar coupling spin system in equilibrium state. Quantum Inf Process 11, 1603 (2012)
Furman, G.B., Meerovich, V.M., Sokolovsky, V.L.: Adiabatic demagnetization and generation of entanglement in spin systems. Phys. Lett. A 376, 925 (2012)
Yu, T., Eberly, J.H.: Evolution from entanglement to decoherence of bipartite mixed “X” states. Quantum Inf. Comput. 7, 459 (2007)
Luo, S.: Phys. Rev. A 77, 042303 (2008)
Hill, S., Wootters, W.K.: Entanglement of a pair of quantum bits. Phys. Rev. Lett. 78, 5022 (1997)
Wootters, W.K.: Entanglement of formation of an arbitrary state of two qubits. Phys. Rev. Lett. 80, 2245 (1998)
Kuznetsova, E.I., Yurischev, M.A.: Quantum discord in spin systems with dipole-dipole interaction. Quantum Inf. Process. 12, 3587 (2013)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Furman, G.B., Goren, S.D., Meerovich, V.M. et al. Quantum correlations at negative absolute temperatures. Quantum Inf Process 13, 2759–2768 (2014). https://doi.org/10.1007/s11128-014-0826-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11128-014-0826-7