Abstract
The two-component mixture of Bose particles with short-range pairwise interaction at finite temperatures in three dimensions is considered. Particularly, we examine, by means of the large-N expansion technique, the stability of the mixed state below the Bose–Einstein transition point and the temperature dependence of the condensate density for a symmetric mixture of Bose gases. The presented analysis reveals the importance of finite-temperature excitations of the non-condensed particles in formation of the phase diagram of two-component Bose systems.
Similar content being viewed by others
References
D.S. Petrov, Phys. Rev. Lett. 115, 155302 (2015)
C.R. Cabrera, L. Tanzi, J. Sanz, B. Naylor, P. Thomas, P. Cheiney, L. Tarruell, Science 359, 301 (2018)
G. Semeghini, G. Ferioli, L. Masi, C. Mazzinghi, L. Wolswijk, F. Minardi, M. Modugno, G. Modugno, M. Inguscio, M. Fattori, Phys. Rev. Lett. 120, 235301 (2018)
D.S. Petrov, G.E. Astrakharchik, Phys. Rev. Lett. 117, 100401 (2016)
G.E. Astrakharchik, B.A. Malomed, Phys. Rev. A 98, 013631 (2018)
P. Zin, M. Pylak, T. Wasak, M. Gajda, Z. Idziaszek, Phys. Rev. A 98, 051603(R) (2018)
S. Gautam, S.K. Adhikari, J. Phys. B At. Mol. Opt. Phys. 52, 55302 (2019)
P. Cheiney, C.R. Cabrera, J. Sanz, B. Naylor, L. Tanzi, L. Tarruell, Phys. Rev. Lett. 120, 135301 (2018)
N.B. Jørgensen, G.M. Bruun, J. Arlt Phys. Rev. Lett. 121, 173403 (2018)
Y.V. Kartashov, B.A. Malomed, L. Tarruell, L. Torner, Phys. Rev. A 98, 013612 (2018)
Y. Li, Z. Chen, Z. Luo, C. Huang, H. Tan, W. Pang, B.A. Malomed, Phys. Rev. A 98, 063602 (2018)
C. Staudinger, F. Mazzanti, R.E. Zillich, Phys. Rev. A 98, 023633 (2018)
V. Cikojević, K. Dželalija, P. Stipanović, L. Vranješ Markić, J. Boronat, Phys. Rev. B 97, 140502(R) (2018)
V. Cikojević, L. Vranješmarkić, G.E. Astrakharchik, J. Boronat, Phys. Rev. A 99, 023618 (2019)
O.I. Utesov, M.I. Baglay, S.V. Andreev, Phys. Rev. A 97, 053617 (2018)
P. Konietin, V. Pastukhov, J. Low Temp. Phys. 190, 256 (2018)
V. Karle, N. Defenu, T. Enss, Phys. Rev. A 99, 063627 (2019)
L. Parisi, G.E. Astrakharchik, S. Giorgini, Phys. Rev. Lett. 122, 105302 (2019)
D.M. Larsen, Ann. Phys. 24, 89 (1963)
E. Timmermans, Phys. Rev. Lett. 81, 5718 (1998)
G.O. Balabanyan, Theor. Math. Phys. 66, 81 (1986)
B. Oleś, K. Sacha, J. Phys. A: Math. Theor. 41, 145005 (2008)
I.O. Vakarchuk, V.S. Pastukhov, J. Phys. Stud. 12, 1001 (2008)
I.O. Vakarchuk, V.S. Pastukhov, J. Phys. Stud. 12, 3002 (2008)
A. Rovenchak, Low Temp. Phys. 42, 36 (2016)
C.-H. Zhang, H.A. Fertig, Phys. Rev. A 75, 013601 (2007)
J. Armaitis, H.T.C. Stoof, R.A. Duine, Phys. Rev. A 91, 043641 (2015)
H. Shi, W.-M. Zheng, S.-T. Chui, Phys. Rev. A 61, 063613 (2000)
B. Van Schaeybroeck, Physica A 392, 3806 (2013)
M. Ota, S. Giorgini, S. Stringari, Phys. Rev. Lett. 123, 075301 (2019)
W.B. Colson, A.L. Fetter, J. Low Temp. Phys. 33, 231 (1978)
A. Boudjemâa, Phys. Rev. A 97, 033627 (2018)
O. Hryhorchak, V. Pastukhov, Physica B 583, 412017 (2020)
O. Hryhorchak, V. Pastukhov, EPL (Europhys. Lett.) 118, 56003 (2017)
C.-C. Chien, F. Cooper, E. Timmermans, Phys. Rev. A 86, 023634 (2012)
O. Hryhorchak, V. Pastukhov, J. Phys. A Math. Theor. 52, 025002 (2019)
Y. A. Nepomnyashchii, Zh. Eksp. Teor. Fiz. 70, 1070 (1976) [Sov. Phys.–JETP 43, 559 (1976)]
Y.A. Nepomnyashchii, Theor. Math. Phys. 20, 904 (1974)
G. Baym, J.-P. Blaizot, J. Zinn-Justin, Europhys. Lett. 49, 150 (2000)
S. Pilati, S. Giorgini, N. Prokof’ev, Phys. Rev. Lett. 100, 140405 (2008)
Acknowledgements
Work of O. H. was partly supported by Project FF-83F (No. 0119U002203) from the Ministry of Education and Science of Ukraine.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Hryhorchak, O., Pastukhov, V. Large-N Expansion for Condensation and Stability of Bose–Bose Mixtures at Finite Temperatures. J Low Temp Phys 202, 219–230 (2021). https://doi.org/10.1007/s10909-020-02542-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10909-020-02542-y