Quasiparticle theory of superfluid Bose systems with single-particle and pair condensates

A semi-phenomenological theory of superfluid Bose systems is considered on the basis of quasiparticle description. This theory enables to describe, from the unified point of view, single-particle and pair condensates both for repulsive and attractive forces. The equations for the order parameters describing these condensates are analyzed in the limit of weak interaction.

PACS: 67.10.–j Quantum fluids: general properties;
PACS: 67.10.Fj Quantum statistical theory;
PACS: 67.25.D– Superfluid phase of ⁴He;
PACS: 67.85.Jk Other Bose–Einstein condensation phenomena.

Key words: superfluidity, Bose liquid, single-particle Bose condensate, pair condensate, weakly interacting Bose gas.

References

1. N. N. Bogolyubov, J. Phys. (USSR) 11, 23 (1947). Google Scholar

2. S. T. Belyaev, Zh. Eksp. Teor. Fiz. 34, 417 (1958). Google Scholar

3. N. M. Hugenholtz and D. Pines, Phys. Rev. 116, 489 (1959). CrossRef Google Scholar

4. N. N. Bogolyubov, Quasiaverages in statistical mechanics problems [in Russian], Preprint D-781, OIYaI, Dubna (1961). Google Scholar

5. N. N. Bogolyubov, Lectures on Quantum Statistics, V. II, Gordon and Breach, New York (1970). Google Scholar

6. N. N. Bogolyubov (jr.), M. Yu. Kovalevskii, A. M. Kurbatov, S. V. Peletminskii, and A. N. Tarasov, Usp. Fiz. Nauk 159, 585 (1989). Google Scholar

7. M. Yu. Kovalevskii and S. V. Peletminskii, Statistical Mechanics of Quantum Liquids and Crystals [in Russian], Fizmatlit, Moscow (2006). Google Scholar

8. J. G. Valatin and D. Butler, Nuovo Cimento 10, 37 (1958). CrossRef Google Scholar

9. M. Gerardeau and R. Arnowitt, Phys. Rev. 113, 755 (1959). CrossRef Google Scholar

10. A. Coniglio and M. Marinaro, Nuovo Cimento 48, 249 (1967). CrossRef Google Scholar

11. W. A. B. Evans and Y. Imry, Nuovo Cimento 63, 155 (1969). CrossRef Google Scholar

12. P. S. Kondratenko, Teor. Mat. Fiz. 22, 278 (1975). Google Scholar

13. S. I. Shevchenko, Fiz. Nizk. Temp. 11, 339 (1985) S. I. Shevchenko,[Sov. J. Low Temp. Phys. 11, 183 (1985)].CAS Google Scholar

14. Yu. A. Nepomnyashchii and E. A. Pashitskii, Zh. Eksp. Teor. Fiz. 98, 178 (1990). Google Scholar

15. E. A. Pashitskii, Fiz. Nizk. Temp. 25, 115 (1999) E. A. Pashitskii,[Low Temp. Phys. 25, 81 (1999)]. CrossRef Google Scholar

16. V. V. Krasil’nikov and S. V. Peletminskii, Fizika élementarnykh chastits i atomnogo yadra 24, 463 (1993). Google Scholar

17. A. I. Akhiezer, V. V. Krasil’nikov, S. V. Peletminskii, and A. A. Yatsenko, Phys. Rep. 245, 1 (1994). CrossRef Google Scholar

18. L. D. Landau, Zh. Eksp. Teor. Fiz. 30, 1058 (1956).CAS Google Scholar

19. V. P. Silin, Zh. Eksp. Teor. Fiz. 33, 495 (1957). Google Scholar

20. V. V. Krasil’nikov, S. V. Peletminskii, and A. A. Yatsenko, Physica (The Hague) 162, 513 (1990). Google Scholar

21. A. I. Akhiezer, V. V. Krasil’nikov, S. V. Peletminskii, and A. A. Yatsenko, Usp. Fiz. Nauk 163, 1 (1993). CrossRef Google Scholar

22. A. I. Akhiezer and S. V. Peletminskii, Methods of Statistical Physics, Pergamon Press, Oxford (1981). Google Scholar

23. V. V. Tolmachev, Theory of the Bose Gas [in Russian], Izd-vo. Moskovskogo universiteta, Moscow (1969). Google Scholar

24. H. T. C. Stoof, Phys. Rev. 49, 3824 (1994). CrossRef Google Scholar