Dissipative Two-State Systems

  • Sushanta Dattagupta
  • Sanjay Puri
Part of the Springer Series in Materials Science book series (SSMATERIALS, volume 71)

Abstract

In Chap. 1, we discussed the dynamics of a single quantum spin in a dissipative environment using the system-bath-approach (SBA). Although the bath was described by a Hamiltonian, no explicit modeling of the latter was considered. In fact, the bath properties were incorporated in a phenomenological manner through parameters such as relaxation rates. It is therefore of interest, in our search for simple models of quantum dissipative systems, to extend the discussion of Chap.

Keywords

Quartz Anisotropy Coherence Boiling Eter 

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References

  1. 426.
    A.J. Leggett, S. Chakravarty, A.T. Dorsey, M.P.A. Fisher, A. Garg and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987)Google Scholar
  2. 427.
    Hydrogen in Metals Vol. I, Topics in Applied Physics 28, ed. by G. Alefeld and J. Völkl (Springer-Verlag, Berlin 1978)Google Scholar
  3. 428.
    W. Press, Single-Particle Rotations in Molecular Crystals, Springer Tracts in Modern Physics 92 ( Springer-Verlag, Heidelberg 1981 )Google Scholar
  4. 429.
    R.P. Feynman, Lecture Notes in Physics ( Addison-Wesley, Reading, MA 1964 )Google Scholar
  5. 430.
    T. Holstein, Ann. Phys. (N.Y.) 8, 325 (1959); Ann. Phys. (N.Y.) 8, 343 (1959)ADSGoogle Scholar
  6. 431.
    J. Kondo, in Fermi Surface Effects, Springer Series in Solid State Sciences 77, ed. by A. Yoshimori and J. Kondo ( Springer-Verlag, Heidelberg 1988 )Google Scholar
  7. 432.
    L.-D. Chang and S. Chakravarty, Phys. Rev. B 31, 154 (1985)ADSCrossRefGoogle Scholar
  8. 433.
    F. Guinea, Phys. Rev. Lett. 53, 1268 (1984)ADSCrossRefGoogle Scholar
  9. 434.
    F. Guinea, V. Hakim and A. Muramatsu, Phys. Rev. Lett. 54, 263 (1985); Phys. Rev. B 32, 4410 (1985)ADSGoogle Scholar
  10. 435.
    T. Qureshi and S. Dattagupta, Phys. Rev. B 49, 12848 (1994)ADSCrossRefGoogle Scholar
  11. 436.
    S. Chakravarty, Phys. Rev. Lett. 49, 681 (1982)ADSCrossRefGoogle Scholar
  12. 437.
    A.J. Bray and M.A. Moore, Phys. Rev. Lett. 49, 1545 (1982)ADSCrossRefGoogle Scholar
  13. 438.
    B. Misra and E.C.G. Sudarshan, J. Math. Phys. 18, 756 (1977)MathSciNetADSCrossRefGoogle Scholar
  14. 439.
    M. Simonius, Phys. Rev. Lett. 40, 980 (1978)ADSCrossRefGoogle Scholar
  15. 440.
    R.P. Feynman and A.R. Hibbs, Quantum Mechanics and Path Integrals ( McGraw-Hill, New York 1965 )MATHGoogle Scholar
  16. 441.
    R.P. Feynman and F.L. Vernon, Ann. Phys. (N.Y.) 24, 118 (1963)MathSciNetADSCrossRefGoogle Scholar
  17. 442.
    S. Chakravarty and A.J. Leggett, Phys. Rev. Lett. 52, 5 (1984)ADSCrossRefGoogle Scholar
  18. 443.
    G.D. Mahan, Many-Particle Physics, Second Edition ( Plenum, New York 1990 )CrossRefGoogle Scholar
  19. 444.
    C. Aslangul, N. Pottier and D. Saint-James, J. Phys. (Paris) 47, 1657 (1986)CrossRefGoogle Scholar
  20. 445.
    S. Dattagupta, H. Grabert and R. Jung, J. Phys. Condens. Matter 1, 1405 (1989)ADSCrossRefGoogle Scholar
  21. 446.
    U. Weiss and M. Wollensak, Phys. Rev. Lett. 62, 1663 (1989)ADSCrossRefGoogle Scholar
  22. 447.
    T. Qureshi, Phys. Rev. B 53, 3183 (1996)ADSCrossRefGoogle Scholar
  23. 448.
    M. Sanjay Kumar, S. Dattagupta and N. Kumar, Phys. Rev. B 65, 134501 (2002)Google Scholar
  24. 449.
    S. Dattagupta and T. Qureshi, Physica B 174, 262 (1991)ADSCrossRefGoogle Scholar
  25. 450.
    H. Grabert, S. Linkwitz, S. Dattagupta and U. Weiss, Europhys. Lett. 2, 631 (1986)ADSCrossRefGoogle Scholar
  26. 451.
    T. Qureshi and S. Dattagupta, Pramana 35, 579 (1990)ADSCrossRefGoogle Scholar
  27. 452.
    Handbook of Mathematical Functions, ed. by M. Abramowitz and I.A. Stegun (Dover, New York 1971)Google Scholar
  28. 453.
    A.C. Hearn, Reduce User’s Manual ( Rand Publications, Santa Monica 1985 )Google Scholar
  29. 454.
    T. Qureshi and S. Dattagupta, J. Phys. Condens. Matter 3, 1079 (1991)ADSCrossRefGoogle Scholar
  30. 455.
    T. Qureshi and S. Dattagupta, Phys. Rev. B 47, 1092 (1993)ADSCrossRefGoogle Scholar
  31. 456.
    J. Kondo, Physica B 125, 279 (1984); Physica B 126, 377 (1984)Google Scholar
  32. 457.
    R.E. Lechner, D. Richter and C. Riekel, Neutron Scattering and Muon Spin Rotation, Springer Tracts in Modern Physics 101 ( Springer-Verlag, Heidelberg 1983 )Google Scholar
  33. 458.
    T. Springer and D. Richter, Methods in Experimental Physics ( Academic Press, New York 1987 )Google Scholar
  34. 459.
    C. Morkel, H. Wipf and K. Neumaier, Phys. Rev. Lett. 40, 947 (1978)ADSCrossRefGoogle Scholar
  35. 460.
    A. Mager’, J.J. Rush, J.M. Rowe, D. Richter and H. Wipf, Phys. Rev. B 27, 927 (1983)ADSCrossRefGoogle Scholar
  36. 461.
    H. Wipf and K. Neumaier, Phys. Rev. Lett. 52, 1308 (1984)ADSCrossRefGoogle Scholar
  37. 462.
    H. Wipf, D. Steinbinder, K. Neumaier, P. Gutsmiedl, A. Magerl and J. Dianoux, Europhys. Lett. 4, 1379 (1987)ADSCrossRefGoogle Scholar
  38. 463.
    D. Steinbinder, H. Wipf, A. Mager’, D. Richter, A.J. Dianoux and K. Neumaier, Europhys. Lett. 6, 535 (1988)ADSCrossRefGoogle Scholar
  39. 464.
    S. Dattagupta, Bull. Mater. Sci. 19, 15 (1996)CrossRefGoogle Scholar
  40. 465.
    H. Grabert, Phys. Rev. B 46, 12753 (1992)ADSCrossRefGoogle Scholar
  41. 466.
    H. Grabert and H.R. Schober, in Hydrogen in Metals Vol. II, ed. by H. Wipf (Springer-Verlag, Heidelberg 1994 )Google Scholar
  42. 467.
    C.P. Flynn and A.M. Stoneham, Phys. Rev. B 1, 3966 (1970)ADSCrossRefGoogle Scholar
  43. 468.
    Y. Kagan and M.I. Klinger, J. Phys. C 7, 2791 (1974)ADSCrossRefGoogle Scholar
  44. 469.
    Z. Qi, J. Völkl, R. Lässer and H. Wenzl, J. Phys. F 13, 2053 (1983)ADSCrossRefGoogle Scholar
  45. 470.
    S. Dattagupta and H.R. Schober, Phys. Rev. B 57, 7606 (1998)ADSCrossRefGoogle Scholar
  46. 471.
    J. Kondo, Prog. Theor. Phys. 32, 37 (1964)Google Scholar
  47. 472.
    P.W. Anderson and G. Yuval, Phys. Rev. Lett. 23, 89 (1969)ADSCrossRefGoogle Scholar
  48. 473.
    P.W. Anderson, G. Yuval and D.R. Hamann, Phys. Rev. B 1, 4464 (1970)ADSCrossRefGoogle Scholar
  49. 474.
    M. Blume, V.J. Emery and A. Luther, Phys. Rev. Lett. 25, 450 (1970)ADSCrossRefGoogle Scholar
  50. 475.
    F. Gonzalez-Jimenez, P. Imbert and F. Hartmann-Boutron, Phys. Rev. B 9, 95 (1974)ADSCrossRefGoogle Scholar
  51. 476.
    F. Hartmann-Boutron, Phys. Rev. B 10, 2113 (1974)ADSCrossRefGoogle Scholar
  52. 477.
    F. Gonzalez-Jimenez, F. Hartmann-Boutron and P. Imbert, Phys. Rev. B 10, 2122 (1974)ADSCrossRefGoogle Scholar
  53. 478.
    H. Alloul, Physica B 86–88, 449 (1977)Google Scholar
  54. 479.
    P. Bonville, P. Imbert, G. Jehanno, F. Gonzalez-Jimenez and F. HartmannBoutron, Phys. Rev. B 30, 3672 (1984)ADSCrossRefGoogle Scholar
  55. 480.
    W.A. Phillips, Rep. Prog. Phys. 50, 1657 (1987)ADSCrossRefGoogle Scholar
  56. 481.
    J.L. Black, in Glassy Metals Vol. I, Topics in Applied Physics 46, ed. by H.J. Güntherodt and H. Beck ( Springer-Verlag, Heidelberg 1981 ), p. 167Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Sushanta Dattagupta
    • 1
  • Sanjay Puri
    • 2
  1. 1.S.N. Bose National Centre for Basic SciencesSalt Lake KolkataIndia
  2. 2.School of Physical SciencesJawaharlal Nehru UniversityNew DelhiIndia

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