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Composed Particles, Trios and Quartets in Resonance Quantum Gases and Mixtures

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Modern trends in Superconductivity and Superfluidity

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Abstract

In the beginning of this chapter we consider two-boson pairing for bosons of the same (bb) or different (b 1 b 2) sorts. The two-boson pairing was first proposed by Nozieres and Saint James in their famous paper [1].

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References

  1. Nozieres, P., Saint James, D.: J. de Phys. (France), 43, 1133 (1982)

    Google Scholar 

  2. Kagan, M.Yu., Efremov, D.V.: Phys. Rev. B 65, 195103 (2002)

    Google Scholar 

  3. Efremov, D.V., Kagan, M.Yu.: Physica B: Condens. Matt. 329–333, 30 (2003)

    Google Scholar 

  4. Efremov, D.V., Kagan, M.Yu.: Physica B: Acta Physica Polonica B34, 591 (2003)

    Google Scholar 

  5. Boninsegni, M.: Phys. Rev. Lett. 87, 087201 (2001)

    Google Scholar 

  6. Kagan, M.Yu., Brodsky, I.V., Efremov, D.V., Klaptsov, A.V.: Phys. Rev. A 70, 023607 (2004)

    Google Scholar 

  7. Bardeen, J., Baym, G., Pines, D.: Phys. Rev. 156, 207 (1967)

    Google Scholar 

  8. Anderson, P.W.: Science 235, 1196 (1987)

    Google Scholar 

  9. Anderson, P.W.: Frontiers and Borderlines in Many-Particle Physics. Proceedings of the Varenna Summer School, Varenna (1987)

    Google Scholar 

  10. Wen, X.-G., Lee, P.A.: Phys. Rev. Lett. 80, 2193 (1998)

    Google Scholar 

  11. Roati, G., Riboli, F., Modugno, G., Inguscio, M.: Phys. Rev. Lett. 89, 150403 (2002)

    Google Scholar 

  12. Modugno, G., Roati, G., Riboli, F., Ferbaino, F., Brecha, R.J., Inguscio, M.: Science 297, 2240 (2002)

    Google Scholar 

  13. Matera, F.: Phys. Rev. A 68, 043624 (2003)

    Google Scholar 

  14. Mur-Petit, J., Polls, A., Baldo, M., Schulze, H.-J.: Phys. Rev. A 69, 023606 (2004)

    Google Scholar 

  15. Efremov, D.V., Viverit, L.: Phys. Rev. B 65, 134519 (2002)

    Google Scholar 

  16. Efimov, V.N.: Sov. J. Nucl. Phys. 12, 589 (1971)

    Google Scholar 

  17. Stan, C.A., Zwierlein, M.W., Schunck, C.H., Raupach, S.M.F., Ketterle, W.: Phys. Rev. Lett. 93, 143001 (2004)

    Google Scholar 

  18. Skorniakov, G.V., Ter-Martirosian, K.A.: JETP 4, 648 (1957)

    Google Scholar 

  19. Milnos, R., Fadeev, L.D.: JETP 14, 1351 (1962)

    Google Scholar 

  20. Jensen, A.S., Riisager, K., Fedorov, D.V., Garrido, E.: Rev. Mod. Phys. 76, 215 (2004)

    Google Scholar 

  21. Bedaque, P.F., van Kolck, V.: Phys. Lett. B 428, 221 (1998)

    Google Scholar 

  22. Weinberg, S.: Phys. Rev. 133, B232 (1964)

    Google Scholar 

  23. Petrov, D.S., Baranov, M.A., Shlyapnikov, G.V.: Phys. Rev. A 67, 031601(R) (2003)

    Google Scholar 

  24. Brodsky, I.V., Kagan, M.Yu., Klaptsov, A.V., Combescot, R., Leyronas, X.: Phys. Rev. A 73, 032724 (2006)

    Google Scholar 

  25. Brodsky, I.V., Kagan, M.Yu., Klaptsov, A.V., Combescot, R., Leyronas, X.: JETP Lett. 82, 273 (2005)

    Google Scholar 

  26. Pieri, P., Strinati, G.C.: Phys. Rev. B 61, 15370 (2000)

    Google Scholar 

  27. Platter, L., Hammer, H.-W., Meissner, U.-G.: Few-Body Syst. 35, 169 (2004)

    Google Scholar 

  28. Hammer, H.-W., Son, D.T.: Phys. Rev. Lett. 93, 250408 (2004)

    Google Scholar 

  29. Petrov, D.S., Salomon, C., Shlyapnikov, G.V.: Phys. Rev. A 71, 012708 (2005)

    Google Scholar 

  30. Wiegmann, P.B.: Prog. Theor. Phys. Suppl. 107, 243 (1992)

    Google Scholar 

  31. Laughlin, R.B.: Phys. Rev. Lett. 60, 2677 (1988)

    Google Scholar 

  32. Fetter, A.L., Hanna, C.B., Laughlin, R.B.: Phys. Rev. B 39, 9679 (1989)

    Google Scholar 

  33. Laughlin, R.B.: Int. J. Mod. Phys. B 5, 1507 (1991)

    Google Scholar 

  34. Menushenkov, A.P., Kuznetsov, A.V., Klement’ev, K.V., Kagan, M.Yu.: JETP 93, 615 (2001)

    Google Scholar 

  35. Wilchek, F.: Fractional Statistics and Anyon Superconductivity. World Scientific, Singapore (1990)

    Google Scholar 

  36. Kagan, M.Yu., Brodsky, I.V., Klaptsov, A.V., Combescot, R., Leyronas, X.: Sov. Phys. Uspekhi 176, 1105 (2006)

    Google Scholar 

  37. Bulaevskii, L.N., Nagaev, E.L., Khomskii, D.I.: JETP 27, 836 (1968)

    Google Scholar 

  38. Brinkman, W.F., Rice, T.M.: Phys. Rev. B 2, 1324 (1970)

    Google Scholar 

  39. Shraiman, B.I., Siggia, E.D.: Phys. Rev. B 42, 2485–2500 (1990)

    Google Scholar 

  40. Belinicher, V.I., Chernyshev, A.L., Shubin, V.A.: Phys. Rev. B 56, 3381 (1997)

    Google Scholar 

  41. Bruch, L.W., Tjon, J.A.: Phys. Rev. A 19, 425 (1979)

    Google Scholar 

  42. Stoof, H.T.C., Houbiers, M., Sackett, C.A., Hulet, R.G.: Phys. Rev. Lett. 76, 10 (1996)

    Google Scholar 

  43. Richard, J.M.: Phys. Rep. 212, 1 (1992)

    Google Scholar 

  44. Casalbuoni, R., Nardulti, G.: Rev. Mod. Phys. 76, 263 (2004)

    Google Scholar 

  45. Valatin, J.G., Butler, D.: Nuovo Cimento 10, 37 (1958)

    Google Scholar 

  46. Iordanskii, S.V.: JETP 20, 112 (1965)

    Google Scholar 

  47. Rice, M.J., Wang, Y.R.: Phys. Rev. B 37, 5893 (1988)

    Google Scholar 

  48. Emery, V.J., Kivelson, S.A., Lin, H.Q.: Phys. Rev. Lett. 64, 475 (1990)

    Google Scholar 

  49. Kagan, M.Yu., Rice, T.M.: J. Phys.: Condens. Matter 6, 3771 (1994)

    Google Scholar 

  50. Fisher, M.P.A., Weichman, P.B., Grinstein, G., Fisher, D.S.: Phys. Rev. B 40, 546 (1989)

    Google Scholar 

  51. Weichman, P.B., Rasolt, M., Fisher, M.E., Stephen, M.J.: Phys. Rev. B 33, 4632 (1986)

    Google Scholar 

  52. Freezicks, J.K., Monien, H.: Europhys. Lett. 26, 545 (1994)

    Google Scholar 

  53. Rokhsar, D.S., Kotliar, B.G.: Phys. Rev. B 44, 10328 (1991)

    Google Scholar 

  54. Kampf, A.P., Zimanyi, G.T.: Phys. Rev. B 47, 279 (1993)

    Google Scholar 

  55. Sheshadri, K., Krishnamurthy, H.R., Pandit, R., Ramakrishnan, T.V.: Europhys. Lett. 22, 257 (1993)

    Google Scholar 

  56. Abrikosov, A.A., Gor’kov, L.P., Dzyaloshinskii, I.E.: Quantum Field Theoretical Methods in Statistical Physics. Prentice-Hall, Englewood Cliffs (1963)

    Google Scholar 

  57. Hubbard, J.: Proc. Roy. Soc. London A276, 238 (1963)

    Google Scholar 

  58. Kanamori, J.: Progr. Theor. Phys. 30, 275 (1963)

    Google Scholar 

  59. Anderson, P.W.: Phys. Rev. Lett. 64, 1839 (1990)

    Google Scholar 

  60. Anderson, P.W.: Phys. Rev. Lett. 65, 2306 (1990)

    Google Scholar 

  61. Anderson, P.W.: Phys. Rev. Lett. 66, 3226 (1991)

    Google Scholar 

  62. Shi, H., Griffin, A.: Phys. Rep. 304, 1 (1998)

    Google Scholar 

  63. Miyake, K.: Progr. Theor. Phys. 69, 1794 (1983)

    Google Scholar 

  64. Alexandrov, A., Ranninger, J.: Phys. Rev. B 23, 1796 (1981)

    Google Scholar 

  65. Ranninger, J., Robaszkiewicz, S.: Physica B 135, 468 (1985)

    Google Scholar 

  66. Fisher, D.S., Hohenberg, P.C.: Phys. Rev. B 37, 4936 (1988)

    Google Scholar 

  67. Popov, V.N.: Theor. Math. Phys. 11, 565 (1972)

    Google Scholar 

  68. Kosterlitz, J.M., Thouless, D.J.: J. Phys. C: Solid State Phys. 6, 1181 (1973)

    Google Scholar 

  69. Berezinskii, V.L.: JETP Lett. 34, 610 (1972)

    Google Scholar 

  70. Baranov, M.A., Kagan, M.Yu.: Z. Phys. B-Cond. Matt. 86, 237 (1992)

    Google Scholar 

  71. Mott, N.F., Davis, E.A.: Electronic Processes in Non-Crystalline Materials. Oxford University Press, Oxford (1979)

    Google Scholar 

  72. Dagotto, E., Riera, J.: Phys. Rev. Lett. 70, 682 (1993)

    Google Scholar 

  73. Dagotto, E., Riera, J., Chen, Y.C., Moreo, A., Nazarenko, A., Alcaraz, F., Ortolani F.: Phys. Rev. B 49, 3548 (1994). Appendix B

    Google Scholar 

  74. Ropke, G., Schnell, A., Schunck, P., Nozieres, P.: Phys. Rev. Lett. 80, 3177 (1998)

    Google Scholar 

  75. Keldysh, L.V.: Solid State Comm. 84, 37 (1992)

    Google Scholar 

  76. Babichenko, V.S.: JETP 37, 311 (1973)

    Google Scholar 

  77. Lozovik, Y.E., Berman, O.L., Villander, M.: JETP 88, 980 (1999)

    Google Scholar 

  78. Bartouni, G.G., Hebert, F., Scalettar, R.T.: Phys. Rev. Lett. 97, 087209 (2006)

    Google Scholar 

  79. Sengupta, P., Pryadko, L.P., Alet, F., Troyer, M., Schmid, G.: Phys. Rev. Lett. 94, 207202 (2005)

    Google Scholar 

  80. Bartouni, G.G., Scalettar, R.T.: Phys. Rev. Lett. 84, 1599 (2000)

    Google Scholar 

  81. Batrouni, G.G., Assaad, F.F., Scalettar, R.T., Denteneer, P.J.H.: Phys. Rev. A 72, 031601R (2005)

    Google Scholar 

  82. Kuklov, A.B., Prokof’ev, N.V., Svistunov, B.V.,: Phys. Rev. Lett. 92, 030403 (2003)

    Google Scholar 

  83. Altman, E., Hofstetter, W., Demler, E., Lukin, M.D.: New J. Phys. 5, 113 (2003)

    Google Scholar 

  84. Lee, P.A., Nagaosa, N., Ng, T.-K., Wen, X.-G.: Phys. Rev. B 57, 6003 (1998)

    Google Scholar 

  85. Lee, P.A., Nagaosa, N.: Phys. Rev. B 46, 5621 (1992)

    Google Scholar 

  86. Arovas, D.P., Auerbach, A.: Phys. Rev. B 38, 316 (1988)

    Google Scholar 

  87. Chubukov, A.V.: Phys. Rev. B 44, 12318 (1991)

    Google Scholar 

  88. Irkhin, V.Y., Katanin, A.A., Katsnelson, M.I.: Phys. Rev. B 60, 1082 (1999)

    Google Scholar 

  89. Kotliar, X.G., Liu, J.: Phys. Rev. B 38, 5142 (1988)

    Google Scholar 

  90. Danilov, G.S.: JETP 13, 349 (1961)

    Google Scholar 

  91. Popov, V.N.: JETP 23, 1034 (1966)

    Google Scholar 

  92. Keldysh, L.V., Kozlov, A.N.: JETP 27, 521 (1968)

    Google Scholar 

  93. Combescot, R., Kagan, M.Yu., Stringari, S.: Phys. Rev. A 74, 042717 (2006)

    Google Scholar 

  94. Kagan, M.Yu., Efremov, D.V.: JETP 110, 426 (2010)

    Google Scholar 

  95. Baranov, M.A., Kagan, M.Yu., Kagan, Y.: JETP Lett. 64, 301 (1996)

    Google Scholar 

  96. Bashkin, E.P., Meyerovich, A.E.: Adv. Phys. 30, 1 (1981)

    Google Scholar 

  97. Kagan, M.Yu.: Sov. Phys. Uspekhi 37, 69 (1994)

    Google Scholar 

  98. Fradkin, E.: Field Theories of Condensed Matter Systems. Addison-Wesley, Reading (1991)

    Google Scholar 

  99. Haldane, F.D.M.: Phys. Rev. Lett. 66, 1529 (1991)

    Google Scholar 

  100. Fukuyama, H., Hasegawa, Y., Narikiyo, O.: J. Phys. Soc. Jpn. 60, 2013 (1991)

    Google Scholar 

  101. Shuryak, E.: Prog. Part. Nucl. Phys. 53, 273 (2004)

    Google Scholar 

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Kagan, M.Y. (2013). Composed Particles, Trios and Quartets in Resonance Quantum Gases and Mixtures. In: Modern trends in Superconductivity and Superfluidity. Lecture Notes in Physics, vol 874. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6961-8_6

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