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Number of results

Journal

2011 | 9 | 3 | 857-864

Article title

Short-wave excitations in non-local Gross-Pitaevskii model

Content

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EN

Abstracts

EN
We show that a non-local form of the Gross-Pitaevskii equation describes not only long-wave excitations, but also the short-wave ones in Bose-condensate systems. At certain parameter values, the excitation spectrum mimics the Landau spectrum of quasi-particle excitations in superfluid helium with roton minimum. The excitation wavelength, at which the roton minimum exists, is close to the inter-particle interaction range. We determine how the roton gap and the effective roton mass depend on the interaction potential parameters, and show that the existence domain of the spectrum with a roton minimum is reduced if one accounts for an inter-particle attraction.

Publisher

Journal

Year

Volume

9

Issue

3

Pages

857-864

Physical description

Dates

published
1 - 6 - 2011
online
26 - 2 - 2011

Contributors

  • A.I. Akhiezer Institute for Theoretical Physics, NSC “Kharkov Institute of Physics and Technology”, 1, Akademicheskaya Str., Kharkov, UA-61108, Ukraine
  • A.I. Akhiezer Institute for Theoretical Physics, NSC “Kharkov Institute of Physics and Technology”, 1, Akademicheskaya Str., Kharkov, UA-61108, Ukraine

References

  • [1] A. Einstein, Sitzber. Preuss. Akad., 261 (1924)
  • [2] S. N. Bose, Z. Phys. 26, 178 (1924) http://dx.doi.org/10.1007/BF01327326[Crossref]
  • [3] F. London, Nature 141, 643 (1938) http://dx.doi.org/10.1038/141643a0[Crossref]
  • [4] L. Tisza, Nature 141, 913 (1938) http://dx.doi.org/10.1038/141913a0[Crossref]
  • [5] P. L. Kapitsa, Nature 141, 74 (1938) http://dx.doi.org/10.1038/141074a0[Crossref]
  • [6] J. F. Allen, Nature 141, 234 (1938)
  • [7] L. D. Landau, Zh. Eksp. Teor. Fiz.+ 11, 592 (1941)
  • [8] L. D. Landau, J. Phys.-USSR 11, 91 (1947)
  • [9] R. A. Cowley, A. D. B. Woods, Can. J. Phys. 49, 177 (1971) http://dx.doi.org/10.1139/p71-021[Crossref]
  • [10] M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, E. A. Cornell, Science 269, 198 (1995) http://dx.doi.org/10.1126/science.269.5221.198[Crossref]
  • [11] K. B. Davisetal., Phys. Rev. Lett. 75, 3969 (1995) http://dx.doi.org/10.1103/PhysRevLett.75.3969[Crossref]
  • [12] C. C. Bradley, C. A. Sackett, J. J. Tollett, R. G. Hulet, Phys. Rev. Lett. 75, 1687 (1995) http://dx.doi.org/10.1103/PhysRevLett.75.1687[Crossref]
  • [13] L. Pitaevskii, S. Stringari, Bose-Einstein Condensation (Oxford University Press, USA, 2003)
  • [14] C. J. Pethick, H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, New York, 2001) http://dx.doi.org/10.1017/CBO9780511755583[Crossref]
  • [15] N. N. Bogolyubov, J. Phys.-USSR 9, 23 (1947)
  • [16] S. T. Belyaev, Zh. Eksp. Teor. Fiz.+ 34, 417 (1958)
  • [17] S. T. Belyaev, J. Phys.-USSR 7, 289 (1958)
  • [18] N. M. Hugengoltz, D. Pines, Phys. Rev. 116, 489 (1959) http://dx.doi.org/10.1103/PhysRev.116.489[Crossref]
  • [19] V. V. Tolmachev, Dokl. Akad. Nauk. SSSR+ 135, 825 (1960)
  • [20] Yu. M. Poluektov, Fiz. Nizk. Temp. + 28, 604 (2002)
  • [21] Yu. M. Poluektov, Low Temp. Phys. 28, 429 (2002) http://dx.doi.org/10.1063/1.1491184[Crossref]
  • [22] Yu. B. Rumer, M. Sh. Ryvkin, Thermodynamics, Statistical Physics and Kinetics (Nauka, Moscow, 1972)
  • [23] E. P. Gross, Nuovo Cimento 20, 454 (1961) http://dx.doi.org/10.1007/BF02731494[Crossref]
  • [24] L. P. Pitaevskii, J. Exp. Theor. Phys. 40, 646 (1961)
  • [25] E. M. Lifshits, L. P Pitaevskii, Statistical Physics, Part 2 (Nauka, Moscow, 1978)
  • [26] I. M. Khalatnikov, The theory of superfluidity (Nauka, Moscow, 1971)
  • [27] V. M. Perez-Garcia, V. Konotop, J. Garcia-Ripoll, Phys. Rev. E 62, 4300 (2000) http://dx.doi.org/10.1103/PhysRevE.62.4300[Crossref]
  • [28] V. Konotop, V. M. Perez-Garcia, Phys. Rev. A 62, 033610 (2000) http://dx.doi.org/10.1103/PhysRevA.62.033610[Crossref]
  • [29] N. N. Rozanov, A. G. Vladimirov, D. V. Skryabin, W. J. Firth, Phys. Lett. A 293, 45 (2002) http://dx.doi.org/10.1016/S0375-9601(01)00835-0[Crossref]
  • [30] N. N. Rozanov, Yu. V. Rozhdestvenskii, V. A. Smirnov, S. V. Fedorov, JETP Lett.+ 77, 84 (2003) http://dx.doi.org/10.1134/1.1564225[Crossref]
  • [31] L. Santos, G. V. Shlyapnikov, M. Levenstein, Phys. Rev. Lett. 90, 250403 (2003) http://dx.doi.org/10.1103/PhysRevLett.90.250403[Crossref]
  • [32] J. J. Garcia-Ripoll, V. Konotop, B. Malomed, V. M. Perez-Garcia, Math. Comput. Simul. 62, 21 (2003) http://dx.doi.org/10.1016/S0378-4754(02)00190-8[Crossref]
  • [33] R. M. Wilson, S. Ronen, J. L. Bohn, H. Pu, Phys. Rev. Lett. 100, 245302 (2008) http://dx.doi.org/10.1103/PhysRevLett.100.245302[Crossref]
  • [34] J. Cuevas, B. A. Malomed, P. G. Kevrekidis, D. J. Frantzeskakis, Phys. Rev. A 79, 053608 (2009) http://dx.doi.org/10.1103/PhysRevA.79.053608[Crossref]
  • [35] I. N. Adamenko, K. E. Nemchenko, I. V. Tanatarov, Phys. Rev. B 67, 104513 (2003) http://dx.doi.org/10.1103/PhysRevB.67.104513[Crossref]
  • [36] E. A. Pashitskii, Fiz. Nizk. Temp.+ 25, 115 (1999)
  • [37] E. A. Pashitskii, Low Temp. Phys. 25, 81 (1999) http://dx.doi.org/10.1063/1.593709[Crossref]
  • [38] H. R. Glyde, Phys. Rev. B 45, 7321 (1992) http://dx.doi.org/10.1103/PhysRevB.45.7321[Crossref]

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-010-0124-7
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