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Diffusive Spin Transport

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Entanglement and Decoherence

Part of the book series: Lecture Notes in Physics ((LNP,volume 768))

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References

  1. I. Žutić, J. Fabian, and S. Das Sarma: Spintronics: Fundamentals and applications, Rev. Mod. Phys. 76, 323 (2004)

    Article  ADS  Google Scholar 

  2. M. Chaichian and R. Hagedorn: Symmetries in Quantum Mechanics (IOP Publishing, Bristol 1998)

    Book  MATH  Google Scholar 

  3. L. C. Biedenharn and J. D. Louck: Angular Momentum in Quantum Mechanics. In:Encyclopedia of Mathematics, vol. 8 (Addison Wesley, New York 1981)

    Google Scholar 

  4. G. E. Uhlenbeck and S. Goudsmit: Ersetzung der Hypothese vom unmechanischen Zwang durch eine Forderung bezüglich des inneren Verhaltens jedes einzelnen Elektrons, Naturwiss. 13, 953 (1925)

    Article  Google Scholar 

  5. W. Pauli: über den Zusammenhang des Abschlusses der Elektronengruppen im Atom mit der Komplexstruktur der Spektren, Z. Phys. 31, 765 (1925)

    Article  ADS  Google Scholar 

  6. W. Gerlach and O. Stern: Der experimentelle Nachweis der Richtungsquantelung im Magnetfeld, Z. Phys. 9, 349 (1922)

    Google Scholar 

  7. D. J. Gross: Symmetry in Physics: Wigner’s legacy, Physics Today (December 1995) p. 46.

    Google Scholar 

  8. E. Cartan: Les groupes projectifs qui ne laissent invariante aucune multiplicité plane, Bull. Soc. Math. France 41, 53 (1913)

    MATH  MathSciNet  Google Scholar 

  9. H. Weyl: The Theory of Groups and Quantum Mechanics (Dover Publications, New York 1950), first published as Gruppentheorie und Quantenmechanik in 1928

    Google Scholar 

  10. H.-D. Zeh: The Physical Basis of the Direction of Time (Springer, New York 2001) Chap. 3

    MATH  Google Scholar 

  11. N. van Kampen, Stochastic Processes in Physics and Chemistry (North Holland, Amsterdam 1990)

    Google Scholar 

  12. M. A. Nielsen and I. L. Chuang: Quantum Computation and Quantum Information (Cambridge University Press, Cambridge 2002)

    Google Scholar 

  13. W. G. Ritter: Quantum channels and representation theory, J. Math. Phys. 46, 082103 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  14. E. Fick and G. Sauermann: The Quantum Statistics of Dynamic Processes, Series in Solid-State Science vol. 86 (Spinger, New York 1990)

    Google Scholar 

  15. R. Zwanzig: On the identity of three generalized master equations, Physica 30, 1109 (1964)

    Article  ADS  MathSciNet  Google Scholar 

  16. H. Gabriel: Theory of the influence of environment on the angular distribution of nuclear radiation, Phys. Rev. 181, 506 (1969), especially the appendix

    Article  ADS  Google Scholar 

  17. Preskill, J.: Quantum Information and Computing. Lect. Notes Phys. 229, Chap. 3 (1998), http://www.theory.caltech.edu/people/preskill/ph229/

  18. C. W. Gardiner and P. Zoller: Quantum Noise (Springer, New York 2004)

    MATH  Google Scholar 

  19. S. Mukamel: Superoperator representation of nonlinear response: Unifying quantum field and mode coupling theories, Phys. Rev. E 68, 021111 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  20. K. Blum, Density Matrix Theory and Applications (Plenum Press, New York 1996)

    Google Scholar 

  21. U. Fano and G. Racah: Irreducible Tensorial Sets (Academic Press, New York 1959)

    Google Scholar 

  22. U. Fano: Description of states in quantum mechanics by density matrix and Operator techniques, Rev. Mod. Phys. 29, 74 (1957)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  23. C. A. Müller, C. Miniatura, E. Akkermans and G. Montambaux: Mesoscopic scattering of spin s particles, J. Phys. A: Math. Gen. 38, 7807 (2005)

    Article  MATH  ADS  Google Scholar 

  24. M. Fannes, B. Nachtergaele, and R. F. Werner: Exact antiferromagnetic ground states of quantum spin chains, Europhys. Lett. 10, 633–637 (1989)

    Article  ADS  Google Scholar 

  25. T. F. Havel: Robust procedures for converting among Lindblad, Kraus and matrix representations of quantum dynamical semigroups, J. Math. Phys. 44, 534 (2003)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  26. J. Rammer, Quantum Transport Theory (Perseus Books, Reading, 1998)

    Google Scholar 

  27. J. F. Cornwell: Group Theory in Physics. An Introduction (Academic Press, New York 1997)

    MATH  Google Scholar 

  28. H.-P. Breuer and F. Petruccione: The Theory of Open Quantum Systems (Oxford University Press, Oxford 2002)

    MATH  Google Scholar 

  29. M. Hillery, R. F. O’Connell, M. O. Scully, and E. P. Wigner: Distribution function in physics: fundamentals, Phys. Rep. 106, 121–167 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  30. R. Balian: From Microphysics to Macrophysics, vol. II (Springer, New York 1992)

    MATH  Google Scholar 

  31. M. Le Bellac, F. Mortessagne, and G. Batrouni: Equilibrium and Nonequilibrium Statistical Thermodynamics (Oxford University Press, Oxford, 2002)

    Google Scholar 

  32. N. W. Ashcroft and N. D. Mermin: Solid State Physics (Harcourt Brace, New York 1976)

    Google Scholar 

  33. G. Bergmann: Weak localization in this films: a time-of-flight experiment with conduction electrons, Phys. Rep. 107, 1 (1984)

    Article  ADS  Google Scholar 

  34. W. Zwerger: Theory of coherent transport. In: Quantum Transport and Dissipation, ed. T. Dittrich et al., (Wiley–VCH, New York 1998)

    Google Scholar 

  35. F. Pierre, A. B. Gougam, A. Anthore, H. Pothier, D. Estève, and N. Birge, Dephasing of electrons in mesoscopic metal wires, Phys. Rev. B 68, 085413 (2003)

    ADS  Google Scholar 

  36. G. Labeyrie, D. Delande, C. A. Müller, C. Miniatura, and R. Kaiser: Coherent backscattering of light by cold atoms: theory meets experiment, Europhys. Lett. 61, 327 (2003)

    Article  ADS  Google Scholar 

  37. C. A. Müller and C. Miniatura: Multiple scattering of light by atoms with internal degeneracy, J. Phys. A: Math. Gen. 35, 10163 (2002)

    Article  MATH  Google Scholar 

  38. S. Washburn and R. Webb: Aharonov–Bohm effect in normal metal: quantum coherence and transport, Adv. Phys. 35, 375 (1986)

    Article  ADS  Google Scholar 

  39. F. Pierre and N. Birge: Dephasing by extremely dilute magnetic impurities revealed by Aharonov–Bohm oscillations, Phys. Rev. Lett. 89, 206804 (2002)

    Article  ADS  Google Scholar 

  40. O. Sigwarth, G. Labeyrie, T. Jonckheere, D. Delande, R. Kaiser, and C. Miniatura: Magnetic field enhanced coherence length in cold atomic gases, Phys. Rev. Lett. 93, 143906 (2004)

    Article  ADS  Google Scholar 

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Müller, C. (2009). Diffusive Spin Transport. In: Buchleitner, A., Viviescas, C., Tiersch, M. (eds) Entanglement and Decoherence. Lecture Notes in Physics, vol 768. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88169-8_6

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