Quick search Find article
Quick search
Find article
Deutsche Physikalische Gessellschaft IOP Institute of Physics

Dynamical formation and interaction of bright solitary waves and solitons in the collapse of Bose–Einstein condensates with attractive interactions

B J Dabrowska-Wüster1,2,5, S Wüster3,4 and M J Davis1

Show affiliations


[1]
Dalfovo F, Giorgini S, Pitaevskii L P and Stringari S 1999 Theory of Bose-Einstein condensation in trapped gases Rev. Mod. Phys. 71 463
CrossRef 
[2]
Kivshar Y S and Agrawal G P 2003 Optical Solitons: From Fibers to Photonic Crystals (San Diego, CA: Academic)

[3]
Khaykovich L, Schreck F, Ferrari G, Bourdel T, Cubizolles J, Carr L D, Castin Y and Salomon C 2002 Formation of a matter-wave bright soliton Science 296 1290
CrossRef  PubMed 
[4]
Strecker K E, Partridge G B, Truscott A G and Hulet R G 2002 Formation and propagation of matter-wave soliton trains Nature 417 150
CrossRef  PubMed 
[5]
Eiermann B, Anker T, Albiez M, Taglieber M, Treutlein P, Marzlin K-P and Oberthaler M K 2004 Bright Bose-Einstein gap solitons of atoms with repulsive interaction Phys. Rev. Lett. 92 230401
CrossRef  PubMed 
[6]
Dodd R J, Edwards M, Williams C J, Clark C W, Ruprecht P A and Burnett K 1996 Role of attractive interactions on Bose-Einstein condensation Phys. Rev. A 54 661
CrossRef 
[7]
Donley E A, Claussen N R, Cornish S L, Roberts J L, Cornell E A and Wieman C E 2001 Dynamics of collapsing and exploding Bose-Einstein condensates Nature 412 295
CrossRef  PubMed 
[8]
Bradley C C, Sackett C A and Hulet R G 1997 Bose-Einstein condensation of lithium: observation of limited condensate number Phys. Rev. Lett. 78 985
CrossRef 
[9]
Gerton J M, Strekalov D, Prodan I and Hulet R G 2000 Direct observation of growth and collapse of a Bose-Einstein condensate with attractive interactions Nature 408 692
CrossRef  PubMed 
[10]
Parker N G, Martin A M, Cornish S L and Adams C S 2008 Bright solitary waves of trapped atomic Bose-Einstein condensates Physica D at press doi:10.1016/j.physd.2008.07.001 (arXiv:0802.4275v1)
Preprint 
[11]
Parker N G, Cornish S L, Adams C S and Martin A M 2007 Bright solitary waves and trapped solutions in Bose-Einstein condensates with attrative interactions J. Phys. B: At. Mol. Opt. Phys. 40 3127
IOPscience 
[12]
Cornish S L, Thompson S T and Wieman C E 2006 Formation of bright matter-wave solitons during the collapse of attractive Bose-Einstein condensates Phys. Rev. Lett. 96 170401
CrossRef  PubMed 
[13]
Strecker K E, Partridge G B, Truscott A G and Hulet R G 2003 Bright matter wave solitons in Bose-Einstein condensates New J. Phys. 5 73
IOPscience 
[14]
Khawaja U A, Stoof H T C, Hulet R G, Strecker K E and Partridge G B 2002 Bright soliton trains of trapped Bose-Einstein condensates Phys. Rev. Lett. 89 200404
CrossRef  PubMed 
[15]
Leung V Y F, Truscott A G and Baldwin K G H 2002 Nonlinear atom optics with bright matter-wave soliton trains Phys. Rev. A 66 061602
CrossRef 
[16]
Gordon J P 1983 Interaction forces among solitons in optical fibers Opt. Lett. 8 596
CrossRef  PubMed 
[17]
Timmermans E, Tommasini P, Hussein M and Kerman A 1999 Feshbach resonances in atomic Bose-Einstein condensates Phys. Rep. 315 199
CrossRef 
[18]
Savage C M, Robins N P and Hope J J 2003 Bose-Einstein condensate collapse: a comparison between theory and experiment Phys. Rev. A 67 014304
CrossRef 
[19]
Wüster S, Hope J J and Savage C M 2005 Collapsing Bose-Einstein condensates beyond the Gross-Pitaevskii approximation Phys. Rev. A 71 033604
CrossRef 
[20]
Wüster S, Dabrowska-Wüster B J, Bradley A S, Davis M J, Blakie P B, Hope J J and Savage C M 2007 Quantum depletion of collapsing Bose-Einstein condensates Phys. Rev. A 75 043611
CrossRef 
[21]
Saito H and Ueda M 2000 Intermittent implosion and pattern formation of trapped Bose-Einstein condensates with an attractive interaction Phys. Rev. Lett. 86 1406
CrossRef 
[22]
Parker N G, Martin A M, Cornish S L and Adams C S 2008 Collisions of bright solitary matter waves J. Phys. B: At. Mol. Opt. Phys. 41 045303
IOPscience 
[23]
Carr L D and Brand J 2004 Spontaneous soliton formation and modulational instability in Bose-Einstein condensates Phys. Rev. Lett. 92 040401
CrossRef  PubMed 
[24]
Steel M J, Olsen M K, Plimak L I, Drummond P D, Tan S M, Collet M J, Walls D F and Graham R 1998 Dynamical quantum noise in trapped Bose-Einstein condensates Phys. Rev. A 58 4824
CrossRef 
[25]
Sinatra A, Lobo C and Castin Y 2001 Classical-field method for time dependent Bose-Einstein condensed gases Phys. Rev. Lett. 87 210404
CrossRef  PubMed 
[26]
Sinatra A, Lobo C and Castin Y 2002 The truncated Wigner method for Bose-condensed gases: limits of validity and applications J. Phys. B: At. Mol. Opt. Phys. 35 3599
IOPscience 
[27]
Kagan Y, Muryshev A E and Shlyapnikov G V 1998 Collapse and Bose-Einstein condensation in a trapped Bose gas with negative scattering length Phys. Rev. Lett. 81 933
CrossRef 
[28]
Roberts J L, Claussen N R, Cornish S L and Wieman C E 2000 Magnetic field dependence of ultracold inelastic collisions near a Feshbach resonance Phys. Rev. Lett. 85 728
CrossRef  PubMed 
[29]
Ueda M and Saito H 2003 A consistent picture of a collapsing Bose-Einstein condensate J. Phys. Soc. Japan 72 ((Suppl. C)) 127

[30]
Cornish S L private communication

[31]
Milstein J N, Menotti C and Holland M J 2003 Feshbach resonances and collapsing Bose-Einstein condensates New J. Phys. 5 52
IOPscience 
[32]
Santos L and Shlyapnikov G V 2002 Collapse dynamics of trapped Bose-Einstein condensates Phys. Rev. A 66 011602
CrossRef 
[33]
Blakie P B and Davis M J 2005 Projected Gross-Pitaevskii equation for harmonically confined Bose gases at finite temperature Phys. Rev. A 72 063608
CrossRef 
[34]
Norrie A A, Ballagh R J and Gardiner C W 2006 Quantum turbulence and correlations in Bose-Einstein condensate collisions Phys. Rev. A 73 043617
CrossRef 
[35]
Polkovnikov A 2003 Evolution of the macroscopically entangled states in optical lattices Phys. Rev. A 68 033609
CrossRef 
[36]
Blakie P B, Bradley A S, Davis M J, Ballagh R J and Gardiner C W 2008 Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques Adv. Phys. 57 363
CrossRef 
[37]
Gardiner C W and Zoller P 2004 Quantum Noise 3rd edn (Berlin: Springer)

[38]
Norrie A A, Ballagh R J, Gardiner C W and Bradley A S 2006 Three-body recombination of ultracold Bose gases using the truncated Wigner method Phys. Rev. A 73 043618
CrossRef 
[39]
Bao W Z, Ge Y Y, Jaksch D, Markowich P A and Reishaupl R M 2007 Convergence rate of dimension reduction in Bose-Einstein condensates Comput. Phys. Commun. 177 832
CrossRef 
[40]
Andersen D and Lisak M 1995 Bandwidth limits due to incoherent soliton interaction in optical-fiber communication systems Phys. Rev. A 32 2270
CrossRef 
[41]
Stegeman G and Segev M 1999 Optical spatial solitons and their interactions: universality and diversity Science 286 1518
CrossRef  PubMed 
[42]
Li W 2008 Directly determining the relative phase of two coherent solitary waves in attractive Bose-Einstein condensates arXiv:0805.0260v1
Preprint 
crossref member

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.