Skip to main content
SpringerLink
Log in

Vortices in Bose-Einstein Condensates: Theory

  • Chapter
Emergent Nonlinear Phenomena in Bose-Einstein Condensates

Part of the book series: Atomic, Optical, and Plasma Physics ((SSAOPP,volume 45))

Vortices are pervasive in nature, representing the breakdown of laminar fluid flow and hence playing a key role in turbulence. The fluid rotation associated with a vortex can be parameterized by the circulation Γ = ∮ dr · v(r) about the vortex, where v(r) is the fluid velocity field. While classical vortices can take any value of circulation, superfluids are irrotational, and any rotation or angular momentum is constrained to occur through vortices with quantized circulation. Quantized vortices also play a key role in the dissipation of transport in superfluids. In BECs quantized vortices have been observed in several forms, including single vortices [1, 2], vortex lattices [3–6] (see also Part VII), and vortex pairs and rings [7–9]. The recent observation of quantized vortices in a fermionic gas was taken as a clear signature of the underlying condensation and superfluidity of fermion pairs [10]. In addition to BECs, quantized vortices also occur in superfluid helium [11, 12], nonlinear optics, and type-II superconductors [13].

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 189.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M.R. Matthews, B.P. Anderson, P.C. Haljan, D.S. Hall, C.E. Wieman, E.A. Cornell, Phys. Rev. Lett. 83, 2498 (1999)

    Article  ADS  Google Scholar 

  2. B.P. Anderson, P.C. Haljan, C.E. Wieman, E.A. Cornell, Phys. Rev. Lett. 85, 2857 (2000)

    Article  ADS  Google Scholar 

  3. K.W. Madison, F. Chevy, W. Wohlleben, J. Dalibard, Phys. Rev. Lett. 84, 806 (2000)

    Article  ADS  Google Scholar 

  4. J.R. Abo-Shaeer, C. Raman, J.M. Vogels, W. Ketterle, Science 292, 476 (2001)

    Article  ADS  Google Scholar 

  5. E. Hodby, C. Hechenblaikner, S.A. Hopkins, O.M. Maragò, C.J. Foot, Phys. Rev. Lett. 88, 010405 (2002)

    Article  ADS  Google Scholar 

  6. C. Raman, J.R. Abo-Shaeer, J.M. Vogels, K. Xu, W. Ketterle, Phys. Rev. Lett. 87, 210402 (2001)

    Article  ADS  Google Scholar 

  7. B.P. Anderson, P.C. Haljan, C.A. Regal, D.L. Feder, L.A. Collins, C.W. Clark, E.A. Cornell, Phys. Rev. Lett. 86, 2926 (2001)

    Article  ADS  Google Scholar 

  8. Z. Dutton, M. Budde, C. Slowe, L.V. Hau, Science 293, 663 (2001)

    Article  ADS  Google Scholar 

  9. S. Inouye, S. Gupta, T. Rosenband, A.P. Chikkatur, A. Görlitz, T.L. Gustavson, A.E. Leanhardt, D.E. Pritchard, W. Ketterle, Phys. Rev. Lett. 87, 080402 (2001)

    Article  ADS  Google Scholar 

  10. M.W. Zwierlein, J.R. Abo-Shaeer, A. Schirotzek, C.H. Schunck, W. Ketterle, Nature 435, 1047 (2005)

    Article  ADS  Google Scholar 

  11. R.J. Donnelly, Quantized vortices in Helium II (Cambridge University Press, Cambridge, 1991)

    Google Scholar 

  12. C.F. Barenghi, R.J. Donnelly, W.F. Vinen (ed.), Quantized Vortex Dynamics and Superfluid Turbulence (Springer, Berlin Heidelberg New York, 2001)

    Google Scholar 

  13. D.R. Tilley, J. Tilley, Superfluidity and Superconductivity (IOP, Bristol, 1990)

    Google Scholar 

  14. F. Dalfovo, S. Giorgini, L.P. Pitaevskii, S. Stringari, Rev. Mod. Phys. 71, 463 (1999)

    Article  ADS  Google Scholar 

  15. A.L. Fetter, A.A. Svidzinsky, J. Phys.: Condens. Matter 13, R135 (2001)

    Article  ADS  Google Scholar 

  16. F. Dalfovo, S. Stringari, Phys. Rev. A 53, 2477 (1996)

    Article  ADS  Google Scholar 

  17. N.K. Wilkin, J.M.F. Gunn, R.A. Smith, Phys. Rev. Lett. 80, 2265 (1998)

    Article  ADS  Google Scholar 

  18. H. Saito, M. Ueda, Phys. Rev. A 69, 013604 (2004)

    Article  ADS  Google Scholar 

  19. E. Lundh, A. Collin, K.-A. Suominen, Phys. Rev. Lett. 92, 070401 (2004)

    Article  ADS  Google Scholar 

  20. G.M. Kavoulakis, A.D. Jackson, G. Baym, Phys. Rev. A 70, 043603 (2004)

    Article  ADS  Google Scholar 

  21. S.M.M. Virtanen, T.P. Simula, M.M. Salomaa, Phys. Rev. Lett. 86, 2704 (2001)

    Article  ADS  Google Scholar 

  22. C.W. Gardiner, J.R. Anglin, T.I.A. Fudge, J. Phys. B 35, 1555 (2002)

    Article  ADS  Google Scholar 

  23. A.A. Penckwitt, R.J. Ballagh, C.W. Gardiner, Phys. Rev. Lett. 89, 260402 (2002)

    Article  ADS  Google Scholar 

  24. R.A. Duine, B.W.A. Leurs, H.T.C. Stoof, Phys. Rev. A 69, 053623 (2004)

    Article  ADS  Google Scholar 

  25. M.J. Steel, M.K. Olsen, L.I. Plimak, P.D. Drummond, S.M. Tan, M.J. Collett, D.F. Walls, R. Graham, Phys. Rev. A 58, 4824 (1998)

    Article  ADS  Google Scholar 

  26. M.J. Davis, S.A. Morgan, K. Burnett, Phys. Rev. A 66, 053618 (2002)

    Article  ADS  Google Scholar 

  27. C. Lobo, A. Sinatra, Y. Castin, Phys. Rev. Lett. 92, 020403 (2004)

    Article  ADS  Google Scholar 

  28. T.P. Simula, P.B. Blakie, Phys. Rev. Lett. 96, 020404 (2006)

    Article  ADS  Google Scholar 

  29. M. Tsubota, K. Kasamatsu, M. Ueda, Phys. Rev. A 65, 023603 (2002)

    Article  ADS  Google Scholar 

  30. C.J. Pethick, H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge, 2002)

    Google Scholar 

  31. A. Minguzzi, S. Succi, F. Toschi, M. P. Tosi, P. Vignolo, Phys. Rep. 395, 223 (2004)

    Article  ADS  Google Scholar 

  32. D.A. Butts, D.S. Rokshar, Nature 397, 327 (1999)

    Article  ADS  Google Scholar 

  33. E. Lundh, Phys. Rev. A 65, 043604 (2002)

    Article  ADS  Google Scholar 

  34. P.C. Haljan, I. Coddington, P. Engels, E.A. Cornell, Phys. Rev. Lett. 87, 210403 (2001)

    Article  ADS  Google Scholar 

  35. M. Möttönen, T. Mizushima, T. Isoshima, M.M. Salomaa, K. Machida, Phys. Rev. A 68, 023611 (2003)

    Article  ADS  Google Scholar 

  36. Y. Shin, M. Saba, A. Schirotzek, T.A. Pasquini, A.E. Leanhardt, D.E. Pritchard, W. Ketterle, Phys. Rev. Lett. 93, 160406 (2004)

    Article  ADS  Google Scholar 

  37. H. Pu, C.K. Law, J.H. Eberly, N.P. Bigelow, Phys. Rev. Lett. 59, 1533 (1999)

    ADS  Google Scholar 

  38. T.P. Simula, S.M.M. Virtanen, M.M. Salomaa, Phys. Rev. A 65, 033614 (2002)

    Article  ADS  Google Scholar 

  39. C.A. Jones, P.H. Roberts, J. Phys. A 15, 2599 (1982)

    Article  ADS  Google Scholar 

  40. C.A. Jones, S.J. Putterman, P.H. Roberts, J. Phys. A 19, 2991 (1986)

    Article  ADS  Google Scholar 

  41. A.E. Leanhardt, Y. Shin, D. Kielpinski, D.E. Pritchard, W. Ketterle, Phys. Rev. Lett. 90, 140403 (2003)

    Article  ADS  Google Scholar 

  42. K. Kasamatsu, M. Tsubota, M. Ueda, Phys. Rev. Lett. 93, 250406 (2004)

    Article  ADS  Google Scholar 

  43. J. Ruostekoski and J.R. Anglin, Phys. Rev. Lett. 86, 003934 (2001)

    Article  ADS  Google Scholar 

  44. J. Ruostekoski, J.R. Anglin, Phys. Rev. Lett. 91, 190402 (2003)

    Article  ADS  Google Scholar 

  45. N.G. Parker, N.P. Proukakis, C.F. Barenghi, C.S. Adams, Phys. Rev. Lett. 92, 160403 (2004)

    Article  ADS  Google Scholar 

  46. P. Nozieres, D. Pines, The Theory of Quantum Liquids (Perseus, New York, 1999)

    Google Scholar 

  47. E. Lundh, C.J. Pethick, H. Smith, Phys. Rev. A 55, 2126 (1997)

    Article  ADS  Google Scholar 

  48. D.S. Rokhsar, Phys. Rev. Lett. 79, 2164 (1997)

    Article  ADS  Google Scholar 

  49. E. Lundh, J.P. Martikainen, K. A. Suominen, Phys. Rev. A 67, 063604 (2003)

    Article  ADS  Google Scholar 

  50. N.G. Parker, C.S. Adams, Phys. Rev. Lett. 95, 145301 (2005); J. Phys. B 39, 43 (2006)

    Article  ADS  Google Scholar 

  51. S. Stringari, Phys. Rev. Lett. 77, 2360 (1996)

    Article  ADS  Google Scholar 

  52. A. Recati, F. Zambelli, S. Stringari, Phys. Rev. Lett. 86, 377 (2001)

    Article  ADS  Google Scholar 

  53. S. Sinha, Y. Castin, Phys. Rev. Lett. 87, 190402 (2001)

    Article  ADS  Google Scholar 

  54. N.G. Parker, R.M.W. van Bijnen, A.M. Martin, Phys. Rev. A 73, 061603(R) (2006)

    Article  ADS  Google Scholar 

  55. K.W. Madison, F. Chevy, V. Bretin, J. Dalibard, Phys. Rev. Lett. 86, 4443 (2001)

    Article  ADS  Google Scholar 

  56. J.E. Williams, E. Zaremba, B. Jackson, T. Nikuni, A. Griffin, Phys. Rev. Lett. 88, 070401 (2002)

    Article  ADS  Google Scholar 

  57. F. Dalfovo and S. Stringari, Phys. Rev. A 63, 011601(R) (2001)

    Article  ADS  Google Scholar 

  58. T. Frisch, Y. Pomeau, S. Rica, Phys. Rev. Lett. 69, 1644 (1992)

    Article  ADS  Google Scholar 

  59. T. Winiecki, J.F. McCann, C. S. Adams, Phys. Rev. Lett. 82, 5186 (1999)

    Article  ADS  Google Scholar 

  60. B. Jackson, J.F. McCann, C.S. Adams, Phys. Rev. Lett. 80, 3903 (1998)

    Article  ADS  Google Scholar 

  61. C. Raman, M. Köhl, R. Onofrio, D.S. Durfee, C.E. Kuklewicz, Z. Hadzibabic, W. Ketterle, Phys. Rev. Lett. 83, 2502 (1999)

    Article  ADS  Google Scholar 

  62. R. Onofrio, C. Raman, J.M. Vogels, J.R. Abo-Shaeer, A.P. Chikkatur, W. Ketterle, Phys. Rev. Lett. 85, 2228 (2000)

    Article  ADS  Google Scholar 

  63. B. Jackson, J.F. McCann, C.S. Adams, Phys. Rev. A 61, 051603(R) (2000)

    Article  ADS  Google Scholar 

  64. B.M. Caradoc-Davies, R.J. Ballagh, K. Burnett, Phys. Rev. Lett. 83, 895 (1999)

    Article  ADS  Google Scholar 

  65. J.E. Williams, M.J. Holland, Nature 401, 568 (1999)

    Article  ADS  Google Scholar 

  66. A.E. Leanhardt, A. Görlitz, A. Chikkatur, D. Kielpinski, Y. Shin, D.E. Pritchard, W. Ketterle, Phys. Rev. Lett. 89, 190403 (2002)

    Article  ADS  Google Scholar 

  67. N.S. Ginsberg, J. Brand, L.V. Hau, Phys. Rev. Lett. 94, 040403 (2005)

    Article  ADS  Google Scholar 

  68. S. Komineas, N. Papanicolaou, Phys. Rev. A 68, 043617 (2003)

    Article  ADS  Google Scholar 

  69. R.G. Scott, A.M. Martin, T.M. Fromhold, F.W. Sheard, Phys. Rev. Lett. 95, 073201 (2005)

    Article  ADS  Google Scholar 

  70. R.G. Scott, A.M. Martin, S. Bujkiewicz, T. M. Fromhold, N. Malossi, O. Morsch, M. Cristiani, E. Arimondo, Phys. Rev. A 69, 033605 (2004)

    Article  ADS  Google Scholar 

  71. B. Jackson, J.F. McCann, C.S. Adams, Phys. Rev. A 60, 4882 (1999)

    Article  ADS  Google Scholar 

  72. N.G. Berloff, C.F. Barenghi, Phys. Rev. Lett. 93, 090401 (2004)

    Article  ADS  Google Scholar 

  73. J. Ruostekoski, Z. Dutton, Phys. Rev. A 70, 063626 (2005)

    Article  ADS  Google Scholar 

  74. L.C. Crasovan, V.M. Pérez-García, I. Danaila, D. Mihalache, L. Torner, Phys. Rev. A 70, 033605 (2004)

    Article  ADS  Google Scholar 

  75. T.P. Simula, P.B. Blakie, Phys. Rev. Lett. 96, 020404 (2006)

    Article  ADS  Google Scholar 

  76. Z. Hadzibabic, P. Krüger, M. Cheneau, B. Battelier, J. Dalibard, Nature 441, 1118 (2006)

    Article  ADS  Google Scholar 

  77. M.J. Davis, S.A. Morgan, K. Burnett, Phys. Rev. Lett. 66, 053618 (2002)

    ADS  Google Scholar 

  78. N.G. Berloff, B.V. Svistunov, Phys. Rev. A 66, 013603 (2002)

    Article  ADS  Google Scholar 

  79. H. Lamb, Hydrodynamics (Cambridge University Press, 1932)

    Google Scholar 

  80. M. Tsubota, T. Araki, S.K. Nemirovskii, Phys. Rev. B 62, 11751 (2000)

    Article  ADS  Google Scholar 

  81. K.W. Schwarz, Phys. Rev. B 31, 5782 (1985)

    Article  ADS  Google Scholar 

  82. J. Koplik, H. Levine, Phys. Rev. Lett. 71, 1375 (1993)

    Article  ADS  Google Scholar 

  83. M. Leadbeater, T. Winiecki, D.C. Samuels, C.F. Barenghi, C.S. Adams, Phys. Rev. Lett. 86, 1410 (2001)

    Article  ADS  Google Scholar 

  84. M. Leadbeater, D.C. Samuels, C.F. Barenghi, C.S. Adams, Phys. Rev. A 67, 015601 (2003)

    Article  ADS  Google Scholar 

  85. W. Thomson (Lord Kelvin), Philos. Mag. 10, 155 (1880)

    Google Scholar 

  86. G.W. Rayfield, F. Reif, Phys. Rev. 136, A1194 (1964)

    Article  ADS  Google Scholar 

  87. A.A. Svidzinsky, A.L. Fetter, Phys. Rev. Lett. 84, 5919 (2000)

    Article  ADS  Google Scholar 

  88. B. Jackson, J.F. McCann, C.S. Adams, Phys. Rev. A 61, 013604 (2000)

    Article  ADS  Google Scholar 

  89. E. Lundh, P. Ao, Phys. Rev. A 61, 063612 (2000)

    Article  ADS  Google Scholar 

  90. S.A. McGee, M.J. Holland, Phys. Rev. A 63, 043608 (2001)

    Article  ADS  Google Scholar 

  91. J.J. García-Ripoll, V.M. Pérez-García, Phys. Rev. A 63, 041603 (2001)

    Article  ADS  Google Scholar 

  92. J.J. García-Ripoll, V.M. Pérez-García, Phys. Rev. A 64, 053611 (2001)

    Article  ADS  Google Scholar 

  93. A. Aftalion, T. Riviere, Phys. Rev. A 64, 043611 (2001)

    Article  ADS  Google Scholar 

  94. P. Rosenbusch, V. Bretin, J. Dalibard, Phys. Rev. Lett. 89, 200403 (2002)

    Article  ADS  Google Scholar 

  95. V. Bretin, P. Rosenbusch, F. Chevy, G.V. Shlyapnikov, J. Dalibard, Phys. Rev. Lett. 90, 100403 (2003)

    Article  ADS  Google Scholar 

  96. A.L. Fetter, Phys. Rev. A 69, 043617 (2004)

    Article  ADS  Google Scholar 

  97. P.O. Fedichev, G.V. Shylapnikov, Phys. Rev. A 60, R1779 (1999)

    Article  ADS  Google Scholar 

  98. J.R. Abo-Shaeer, C. Raman, W. Ketterle, Phys. Rev. Lett. 88, 070409 (2002)

    Article  ADS  Google Scholar 

  99. S.I. Davis, P.C. Hendry, P.V.E. McClintock, Physica B 280, 43 (2000)

    Article  ADS  Google Scholar 

  100. D.P. Arovas, J.A. Freire, Phys. Rev. B 55, 3104 (1997)

    Article  ADS  Google Scholar 

  101. W.F. Vinen, Phys. Rev. B 61, 1410 (2000)

    Article  ADS  Google Scholar 

  102. E. Lundh, P. Ao, Phys. Rev. A 61, 063612 (2000)

    Article  ADS  Google Scholar 

  103. L.M. Pismen, Vortices in Nonlinear Fields (Clarendon, Oxford, 1999)

    MATH  Google Scholar 

  104. C.F. Barenghi, N.G. Parker, N.P. Proukakis, C.S. Adams, J. Low. Temp. Phys. 138,629 (2005)

    Article  ADS  Google Scholar 

  105. N.G. Berloff, Phys. Rev. A 69, 053601 (2004)

    Article  ADS  Google Scholar 

  106. B.M. Caradoc-Davies, R.J. Ballagh, P.B. Blakie, Phys. Rev. A 62, 011602 (2000)

    Article  ADS  Google Scholar 

  107. A. Griesmaier, J. Werner, S. Hensler, J. Stuhler, T. Pfau, Phys. Rev. Lett. 94, 160401 (2005)

    Article  ADS  Google Scholar 

  108. M. Marinescu, L. You, Phys. Rev. Lett. 81, 4596 (1998)

    Article  ADS  Google Scholar 

  109. S. Yi, L. You, Phys. Rev. A 61, 041604 (2000)

    Article  ADS  Google Scholar 

  110. K. Góral, K. Rza Żewski, T. Pfau, Phys. Rev. A 61, 051601 (2000)

    Article  ADS  Google Scholar 

  111. S. Yi, H. Pu, Phys. Rev. A 73, 061602(R) (2006)

    Article  ADS  Google Scholar 

  112. G. Oritz, D.M. Ceperley, Phys. Rev. Lett. 75, 4642 (1995)

    Article  ADS  Google Scholar 

  113. M. Sadd, G.V. Chester, L. Reatto, Phys. Rev. Lett. 79, 2490 (1997)

    Article  ADS  Google Scholar 

  114. N. G. Berloff, P.H. Roberts, J. Phys. A 32, 5611 (1999)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  115. F. Dalfovo, Phys. Rev. B 46, 5482 (1992)

    Article  ADS  Google Scholar 

  116. J. Stuhler, A. Griesmaier, T. Koch, M. Fattori, T. Pfau, S. Giovanazzi, P. Pedri, L. Santos, Phys. Rev. Lett. 95, 150406 (2005)

    Article  ADS  Google Scholar 

  117. D.H.J. O’Dell, C. Eberlein, Phys. Rev. A 75, 013604 (2007)

    Article  ADS  Google Scholar 

  118. D.H.J. O’Dell, S. Giovanazzi, C. Eberlein, Phys. Rev. Lett. 92, 250401 (2004)

    Article  Google Scholar 

  119. C. Eberlein, S. Giovanazzi, D.H.J. O’Dell, Phys. Rev. A 71, 033618 (2005)

    Article  ADS  Google Scholar 

  120. R.M.W. van Bijnen, D.H.J. O’Dell, N.G. Parker, A.M. Martin, Phys. Rev. Lett. 98, 150401 (2007)

    Article  ADS  Google Scholar 

  121. C. Barceló, S. Liberati, M. Visser, Living Rev. Rel. 8, 12 (2005)

    Google Scholar 

  122. W.G. Unruh, Phys. Rev. Lett. 46, 1351 (1981)

    Article  ADS  Google Scholar 

  123. W.G. Unruh, Phys. Rev. D 27, 2827 (1995)

    Article  MathSciNet  ADS  Google Scholar 

  124. C. Barceló, S. Liberati, M. Visser, Class. Quant. Gav. 18, 1137 (2001)

    Article  MATH  ADS  Google Scholar 

  125. S.W. Hawking, Nature 248, 30 (1974)

    Article  ADS  Google Scholar 

  126. S.W. Hawking, Commun. Math. Phys. 43, 199 (1975)

    Article  MathSciNet  ADS  Google Scholar 

  127. J.D. Bekenstein, M. Schiffer, Phys. Rev. 58, 064014 (1998)

    MathSciNet  Google Scholar 

  128. C. Barceló, S. Liberati, M. Visser, Phys. Rev. A 68, 053613 (2003)

    Article  ADS  Google Scholar 

  129. T.R. Slatyer, C.M. Savage, Class. Quant. Grav. 22, 3833 (2005)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  130. S. Basak, P. Majumdar, Class. Quant. Grav. 20, 2929 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  131. S. Basak, P. Majumdar, Class. Quant. Grav. 20, 3907 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  132. F. Federici, C. Cherubini, S. Succi, M.P. Tosi, Phys. Rev. A 73, 033604 (2006)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Melbourne, 3010, Victoria, Australia

    N. G. Parker & A. M. Martin

  2. Newcastle University, NE1 7RU, Newcastle-upon-Tyne, UK

    B. Jackson

  3. Durham University, DH1 3LE, Durham, Uk

    C. S. Adams

Authors
  1. N. G. Parker
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. Jackson
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. M. Martin
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. C. S. Adams
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. University of Massachusetts, Amherst, MA, 01003-4515, USA

    Panayotis G. Kevrekidis

  2. University of Athens, Athens, 15784, Greece

    Dimitri J. Frantzeskakis

  3. San Diego State University, San Diego, CA, 92182-7720, USA

    Ricardo Carretero-González

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Parker, N.G., Jackson, B., Martin, A.M., Adams, C.S. (2008). Vortices in Bose-Einstein Condensates: Theory. In: Kevrekidis, P.G., Frantzeskakis, D.J., Carretero-González, R. (eds) Emergent Nonlinear Phenomena in Bose-Einstein Condensates. Atomic, Optical, and Plasma Physics, vol 45. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73591-5_9

Download citation

Publish with us

Policies and ethics

Search

Navigation