Discrete breathers in Bose–Einstein condensates

Roberto Franzosi, Roberto Livi, Gian-Luca Oppo, Antonio Politi

Research output: Contribution to journalArticle

43 Citations (Scopus)

Abstract

Discrete breathers, originally introduced in the context of biopolymers and
coupled nonlinear oscillators, are also localized modes of excitation of Bose–
Einstein condensates (BEC) in periodic potentials such as those generated by
counter-propagating laser beams in an optical lattice. Static and dynamical
properties of breather states are analysed in the discrete nonlinear Schrödinger
equation that is derived in the limit of deep potential wells, tight-binding and
the superfluid regime of the condensate. Static and mobile breathers can
be formed by progressive re-shaping of initial Gaussian wave-packets or by
transporting atomic density towards dissipative boundaries of the lattice. Static
breathers generated via boundary dissipations are determined via a transfer matrix approach and discussed in the two analytic limits of highly localized
and very broad profiles. Mobile breathers that move across the lattice are
well approximated by modified analytical expressions derived from integrable
models with two independent parameters: the core-phase gradient and the peak
amplitude. Finally, possible experimental realizations of discrete breathers
in BEC in optical lattices are discussed in the presence of residual harmonic
trapping and in interferometry configurations suitable to investigate discrete
breathers’ interactions.
LanguageEnglish
PagesR89-R122
Number of pages34
JournalNonlinearity
Volume24
Issue number12
DOIs
Publication statusPublished - 28 Oct 2011

Fingerprint

Discrete Breathers
Optical lattices
Breathers
Bose-Einstein Condensate
Bose-Einstein condensates
Optical Lattice
Wave packets
Biopolymers
Interferometry
Laser beams
Superfluid
Tight-binding
Periodic Potential
Potential Well
Nonlinear Oscillator
Wave Packet
Condensate
Transfer Matrix
Laser Beam
Dissipation

Keywords

  • nonlinear guided waves
  • Bose-Einstein condensate
  • breathers
  • optical bistability

Cite this

Franzosi, Roberto ; Livi, Roberto ; Oppo, Gian-Luca ; Politi, Antonio. / Discrete breathers in Bose–Einstein condensates. In: Nonlinearity. 2011 ; Vol. 24, No. 12. pp. R89-R122.
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Discrete breathers in Bose–Einstein condensates. / Franzosi, Roberto ; Livi, Roberto; Oppo, Gian-Luca; Politi, Antonio.

In: Nonlinearity, Vol. 24, No. 12, 28.10.2011, p. R89-R122.

Research output: Contribution to journalArticle

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