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Energy and Structure of Few-Boson Systems

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Abstract

The energies of systems comprised of N = 2–8 bosons interacting with various potentials are calculated using the Stochastic Variational Method with an Explicitly Correlated Gaussian basis. Besides the energies, particle–particle distances and correlation functions are also calculated and structural properties are discussed.

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References

  1. Dalfovo F., Giorgini S., Pitaevskii L.P., Stringari S.: Theory of bose-einstein condensation in trapped gases. Rev. Mod. Phys. 71, 463 (1999)

    Article  ADS  Google Scholar 

  2. Braaten E., Hammer H.-W.: Universality in few-body systems with large scattering length. Phys. Rep. 428(56), 259–390 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  3. Giorgini S., Pitaevskii L.P., Stringari S.: Theory of ultracold atomic fermi gases. Rev. Mod. Phys. 80, 1215 (2008)

    Article  ADS  Google Scholar 

  4. Bloch I., Dalibard J., Zwerger W.: Many-body physics with ultracold gases. Rev. Mod. Phys. 80, 885 (2008)

    Article  ADS  Google Scholar 

  5. Chin C., Grimm R., Julienne P., Tiesinga E.: Feshbach resonances in ultracold gases. Rev. Mod. Phys. 82, 1225 (2010)

    Article  ADS  Google Scholar 

  6. Piatecki, S., Krauth, W.: Efimov-driven phase transitions of the unitary Bose gas. Nat. Commun. 5 (2014). doi: 10.1038/ncomms4503

  7. Makotyn P., Klauss C.E., Goldberger D.L., Cornell E.A., Jin D.S.: Universal dynamics of a degenerate unitary Bose gas. Nat. Phys. 10(2), 116119 (2014)

    Article  Google Scholar 

  8. Gattobigio M., Kievsky A., Viviani M.: Energy spectra of small bosonic clusters having a large two-body scattering length. Phys. Rev. A 86, 042513 (2012)

    Article  ADS  Google Scholar 

  9. Platter L., Hammer H.W., Meissner U.G.: Four-boson system with short-range interactions. Phys. Rev. A 70, 052101 (2004)

    Article  ADS  Google Scholar 

  10. Hammer H.W., Platter L.: Universal properties of the four-body system with large scattering length. Eur. Phys. J. A 32, 113 (2007)

    Article  ADS  Google Scholar 

  11. Stecher J., D’Incao J.P., Greene C.H.: Signatures of universal four-body phenomena and their relation to the efimov effect. Nat. Phys. 5, 417 (2009)

    Article  Google Scholar 

  12. D’Incao J.P., Stecher J., Greene C.H.: Universal four-boson states in ultracold molecular gases: resonant effects in dimer-dimer collisions. Phys. Rev. Lett. 103, 033004 (2009)

    Article  ADS  Google Scholar 

  13. Deltuva A.: Shallow efimov tetramer as inelastic virtual state and resonant enhancement of the atom-trimer relaxation. Europhys. Lett. 95, 43002 (2011)

    Article  ADS  Google Scholar 

  14. Deltuva A.: Universality in bosonic dimer-dimer scattering. Phys. Rev. A 84, 022703 (2011)

    Article  ADS  Google Scholar 

  15. Hadizadeh, M.R., Yamashita, M.T., Tomio, L., Delfino, A., Frederico, T.: Scaling properties of universal tetramers. Phys. Rev. Lett. (2011, to appear)

  16. Timofeyuk N.K.: Convergence of the hyperspherical-harmonics expansion with increasing number of particles for bosonic systems. Phys. Rev. A 86, 032507 (2012)

    Article  ADS  Google Scholar 

  17. Gattobigio M., Kievsky A., Viviani M.: Six-bodies calculations using the hyperspherical harmonics method. Few-Body Syst. 54(5–6), 657–666 (2013)

    Article  ADS  Google Scholar 

  18. Frederico T., Delfino A., Hadizadeh M., Tomio L., Yamashita M.: Universality in four-boson systems. Few-Body Syst. 54(5–6), 559–568 (2013)

    Article  ADS  Google Scholar 

  19. Blume D., Greene C.H.: Monte carlo hyperspherical description of helium cluster excited states. J. Chem. Phys. 112, 8053 (2000)

    Article  ADS  Google Scholar 

  20. Timofeyuk N.K.: Improved procedure to construct a hyperspherical basis for the n-body problem: application to bosonic systems. Phys. Rev. C 78, 054314 (2008)

    Article  ADS  Google Scholar 

  21. Suno H., Esry B.D.: Adiabatic hyperspherical study of triatomic helium systems. Phys. Rev. A 78, 062701 (2008)

    Article  ADS  Google Scholar 

  22. Hiyama E., Kamimura M.: Variational calculation of 4 he tetramer ground and excited states using a realistic pair potential. Phys. Rev. A 85, 022502 (2012)

    Article  ADS  Google Scholar 

  23. Das T.K., Chakrabarti B., Canuto S.: Use of correlated potential harmonic basis functions for the description of the 4he trimer and small clusters. J. Chem. Phys. 134(16), 164106 (2011)

    Article  ADS  Google Scholar 

  24. Nielsen E., Fedorov D.V., Jensen A.S.: The structure of the atomic helium trimers: halos and efimov states. J. Phys. B At. Mol. Opt. Phys. 31(18), 4085 (1998)

    Article  ADS  Google Scholar 

  25. Roudnev V., Cavagnero M.: Benchmark helium dimer and trimer calculations with a public few-body code. J. Phys. B At. Mol. Opt. Phys. 45(2), 025101 (2012)

    Article  ADS  Google Scholar 

  26. Werner F., Castin Y.: Unitary quantum three-body problem in a harmonic trap. Phys. Rev. Lett. 97, 150401 (2006)

    Article  ADS  Google Scholar 

  27. Brouzos I., Schmelcher P.: Controlled excitation and resonant acceleration of ultracold few-boson systems by driven interactions in a harmonic trap. Phys. Rev. A 85, 033635 (2012)

    Article  ADS  Google Scholar 

  28. Thgersen M., Fedorov D.V., Jensen A.S.: N-body efimov states of trapped bosons. Europhys. Lett. 83(3), 30012 (2008)

    Article  ADS  Google Scholar 

  29. Suzuki Y., Varga K.: Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems. Springer, Berlin (1998)

    Google Scholar 

  30. Mitroy J., Bubin S., Horiuchi W., Suzuki Y., Adamowicz L., Cencek W., Szalewicz K., Ko-masa J., Blume D., Varga K.: Theory and application of explicitly correlated gaussians. Rev. Mod. Phys. 85, 693–749 (2013)

    Article  ADS  Google Scholar 

  31. Varga K., Suzuki Y.: Stochastic variational method with a correlated gaussian basis. Phys. Rev. A 53, 1907–1910 (1996)

    Article  ADS  Google Scholar 

  32. Gattobigio M., Kievsky A., Viviani M.: Spectra of helium clusters with up to six atoms using soft-core potentials. Phys. Rev. A 84, 052503 (2011)

    Article  ADS  Google Scholar 

  33. Varga K., Navratil P., Usukura J., Suzuki Y.: Stochastic variational approach to few-electron artificial atoms. Phys. Rev. B 63, 205308 (2001)

    Article  ADS  Google Scholar 

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Horne, J., Salas, J.A. & Varga, K. Energy and Structure of Few-Boson Systems. Few-Body Syst 55, 1245–1252 (2014). https://doi.org/10.1007/s00601-014-0912-5

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