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Impurity self-energy in the strongly-correlated Bose systems

Galyna Panochko

College of Natural Sciences, Ivan Franko National University of Lviv, Tarnavsky Str. 107, Lviv 79016, Ukraine

E-mail Address: [email protected]

Corresponding author.

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Volodymyr Pastukhov

Department for Theoretical Physics, Ivan Franko National University of Lviv, 12 Drahomanov Str., Lviv 79005, Ukraine

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, and

Ivan Vakarchuk

Department for Theoretical Physics, Ivan Franko National University of Lviv, 12 Drahomanov Str., Lviv 79005, Ukraine

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https://doi.org/10.1142/S0217979218500534Cited by:8 (Source: Crossref)

Abstract

We proposed the nonperturbative scheme for the calculation of the impurity spectrum in the Bose system at zero temperature. The method is based on the path-integral formulation and describes an impurity as a zero-density ideal Fermi gas interacting with Bose system for which the action is written in terms of density fluctuations. On the example of the ³He atom immersed in the liquid helium-4 a good consistency with experimental data and results of Monte Carlo simulations is shown.

Keywords:

PACS: 67.85.-d, 67.90.+z

References

1. L. D. Landau and I. Y. Pomeranchuk, Dekl. Akad. Nauk SSSR 59, 669 (1948). Web of Science, Google Scholar
2. G. E. Astrakharchik and L. P. Pitaevskii, Phys. Rev. A 70, 013608 (2004). Crossref, Web of Science, ADS, Google Scholar
3. F. M. Cucchietti and E. Timmermans, Phys. Rev. Lett. 96, 210401 (2006). Crossref, Web of Science, ADS, Google Scholar
4. M. Bruderer, W. Bao and D. Jaksch, Europhys. Lett. 82, 30004 (2008). Crossref, ADS, Google Scholar
5. S. Schmid, A. Harter and J. H. Denschlag, Phys. Rev. Lett. 105, 133202 (2010). Crossref, Web of Science, ADS, Google Scholar
6. N. Spethmann et al., Phys. Rev. Lett. 109, 235301 (2012). Crossref, Web of Science, ADS, Google Scholar
7. M. G. Hu et al., Phys. Rev. Lett. 117, 055301 (2016). Crossref, Web of Science, ADS, Google Scholar
8. N. B. Jorgenzen et al., Phys. Rev. Lett. 117, 055302 (2016). Crossref, Web of Science, ADS, Google Scholar
9. L. A. P. Ardila and S. Giorgini, Phys. Rev. A 92, 033612 (2015). Crossref, Web of Science, ADS, Google Scholar
10. L. A. P. Ardila and S. Giorgini, Phys. Rev. A 94, 063640 (2016). Crossref, Web of Science, ADS, Google Scholar
11. J. Vlietinck et al., New J. Phys. 17, 033023 (2015). Crossref, Web of Science, Google Scholar
12. F. Grusdt and E. Demler, arXiv:1510.04934. Google Scholar
13. C. E. Campbell and E. Krotscheck, Int. J. Mod. Phys. B 22, 4296 (2008). Link, Web of Science, ADS, Google Scholar
14. J. Tempere et al., Phys. Rev. B 80, 184504 (2009); Phys. Rev. B 87, 099903 (2013). Google Scholar
15. A. Novikov and M. Ovchinnikov, J. Phys. B At. Mol. Opt. Phys. 43, 105301 (2010). Crossref, Web of Science, ADS, Google Scholar
16. W. Li and S. Das Sarma, Phys. Rev. A 90, 013618 (2014). Crossref, Web of Science, ADS, Google Scholar
17. A. Novikov and M. Ovchinnikov, J. Phys. A Math. Theor. 42, 135301 (2009). Crossref, Web of Science, ADS, Google Scholar
18. S. P. Rath and R. Schmidt, Phys. Rev. A 88, 053632 (2013). Crossref, Web of Science, ADS, Google Scholar
19. R. S. Christensen, J. Levinsen and G. M. Bruun, Phys. Rev. Lett. 115, 160401 (2015). Crossref, Web of Science, ADS, Google Scholar
20. M. V. Tkach et al., Condens. Matter Phys. 18, 33707 (2015). Crossref, Web of Science, ADS, Google Scholar
21. M. Sun, H. Zhai and X. Cui, Phys. Rev. Lett 119, 013401 (2017). Crossref, Web of Science, ADS, Google Scholar
22. N. Loft, Z. Wu and G. M. Bruun, arXiv:1706.06546v2. Google Scholar
23. F. Grusdt et al., Sci. Rep. 5, 12124 (2015). Crossref, Web of Science, ADS, Google Scholar
24. F. Grusdt, Phys. Rev. B 96, 144302 (2016). Crossref, Web of Science, ADS, Google Scholar
25. B. Kain and H. Y. Ling, Phys. Rev. A 94, 013621 (2016). Crossref, Web of Science, ADS, Google Scholar
26. V. N. Popov, Functional Integrals and Collective Excitations (Cambridge University Press, Cambridge, 1987). Google Scholar
27. V. Pastukhov, J. Phys. A Math. Theor. 48, 405002 (2015). Crossref, Web of Science, Google Scholar
28. A. A. Abrikosov, L. P. Gor’kov and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Pergamon Press, Oxford, 1965). Google Scholar
29. S. L. Ginzburg and S. V. Maleev, Theoret. Math. Phys. 3, 616 (1970). Crossref, Google Scholar
30. V. Pastukhov, J. Low Temp. Phys. 186, 148 (2017). Crossref, Web of Science, ADS, Google Scholar
31. M. Saarela et al., J. Low Temp. Phys. 113, 993 (1998). Crossref, Web of Science, ADS, Google Scholar
32. G. Panochko, V. Pastukhov and I. Vakarchuk, Condens. Matter Phys. 20, 13604 (2017). Crossref, Web of Science, ADS, Google Scholar
33. N. M. Blagoveshchenskii et al., Phys. Rev. B 50, 16550 (1994). Crossref, Web of Science, ADS, Google Scholar
34. I. O. Vakarchuk et al., Ukr. J. Phys. 61, 29 (2016). Crossref, Web of Science, Google Scholar
35. I. O. Vakarchuk, V. S. Pastukhov and R. O. Prytula, Low Temp. Phys. 39, 741 (2013); Fiz. Nizk. Temp. 39, 958 (2013) (in Russian). Google Scholar
36. A. A. Rovenchak, Low Temp. Phys. 29, 105 (2003); Fiz. Nizk. Temp. 29, 145 (2003) (in Russian). Google Scholar
37. S. Yorozu, H. Fukuyama and H. Ishimoto, Phys. Rev. B 48, 9660 (1993). Crossref, Web of Science, ADS, Google Scholar
38. R. Simons and R. M. Mueller, Czech. J. Phys. 46, 201 (1996). Crossref, Web of Science, Google Scholar
39. E. Krotscheck et al., Phys. Rev. Lett. 80, 4709 (1998). Crossref, Web of Science, ADS, Google Scholar
40. J. Boronat and J. Casulleras, Phys. Rev. B 59, 8844 (1999). Crossref, Web of Science, ADS, Google Scholar
41. D. E. Galli, G. L. Masserini and L. Reatto, Phys. Rev. B 60, 3476 (1999). Crossref, Web of Science, ADS, Google Scholar