Abstract
The major goal of this article is to review what the field-theoretic analysis of Bose-condensed fluids (liquids and gases) tells us about the nature of the excitations, both above and below the superfluid transition temperature. At T = 0, this analysis was initiated by Bogoliubov in 1947 for a weakly interacting dilute Bose gas (WIDBG) and the resulting picture is discussed in all advanced textbooks on statistical mechanics. Much less well known are the dynamical properties of a WIDBG at intermediate temperatures (where the condensate fraction may be strongly depleted). While the field-theoretic analysis was formally extended by Beliaev in 1957 to deal with Bose liquids, it was only in the early seventies that one began to understand the somewhat subtle (but absolutely crucial) role that the Bose broken symmetry has on the nature of the elementary excitations in superfluid 4He. I have given a review [1] of certain aspects of resulting scenario at the Banff International Conference on Quantum Fluids and Solids. The present article may be viewed as part two of this account, with special emphasis on the nature of the elementary excitations in Bose fluids at finite temperatures, as well as their somewhat subtle relation to the density fluctuations [resonances in (\(S\left( {\overrightarrow {Q,w} } \right)\), ω)] which can be studied by inelastic scattering probes. I refer to my Banff article for more detailed references to the technical literature. I minimize the use of equations but rather try to describe in physical terms what the microscopic theory implies.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
A.Griffin, Proceedings of the Banff International Conference on Quantum Fluids and Solids (October, 1986), Can. J. Phys. 65, 1368(1987).
V.F. Sears, E.C. Svensson, P. Martel and A.D.B. Woods, Phys. Rev. Letters 49, 279 (1982).
D.M. Ceperley and E.L. Pollock, Phys. Rev. Letters 56, 351 (1986).
E.L. Pollock and D.M. Ceperley, Phys. Rev. B 36, 8343 (1987).
P.C. Hohenberg and P.C. Martin, Ann. Phys. (N.Y.) 34, 291 (1965).
S.H. Payne and A. Griffin, Phys. Rev. B32, 7199 (1985).
A. Griffin and S.H. Payne, J. Low Temp. Phys. 64, 155 (1986).
E.C. Svensson and D.C. Tennant, Proc. 18th International Conference on Low Temperature Physics, Kyoto, 1987, in Japan Journ. Applied Physics, 26 Supp 26–3, 31 (1987).
J.W. Kane and L.P. Kadanoff, Phys. Rev., 155 80 (1967).
E.C. Svensson, P. Martel, V.F. Sears and A.D.B. Woods, Can. Journ. Phys. 54, 2178 (1976).
E. Talbot and A. Griffin, Phys. Rev. B29, 2531 (1984).
A.D.B. Woods and E.C. Svensson, Phys. Rev. Letters 41, 974 (1978).
H.F. Hess, G.P. Kochanski, J.M. Doyle, N. Masukara, D. Kleppner and T.J. Greytak, Phys. Rev. Letters, 59, 672 (1987).
D. Snoke, J.P. Wolfe and A. Mysyrowicz, Phys. Rev. Letters 59, 827 (1987).
C. Gay and A. Griffin, J. Low Temp. Phys. 58, 479 (1985).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin, Heidelberg
About this paper
Cite this paper
Griffin, A. (1989). Elementary Excitations in Bose-Condensed Liquids and Gases at Finite Temperatures. In: Ohbayashi, K., Watabe, M. (eds) Elementary Excitations in Quantum Fluids. Springer Series in Solid-State Sciences, vol 79. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83428-8_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-83428-8_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-83430-1
Online ISBN: 978-3-642-83428-8
eBook Packages: Springer Book Archive