Stationary and traveling solitons via local dissipations in Bose-Einstein condensates in ring optical lattices

Russell Campbell, Gian-Luca Oppo

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

A model of a Bose-Einstein condensate in a ring optical lattice with atomic dissipations applied at a stationary or at a moving location on the ring is presented. The localized dissipation is shown to generate and stabilize both stationary and traveling lattice solitons. Among many localized solutions, we have generated spatially stationary quasiperiodic lattice solitons and a family of traveling lattice solitons with two intensity peaks per potential well with no counterpart in the discrete case. Collisions between traveling and stationary lattice solitons as well as between two traveling lattice solitons display a critical dependence from the lattice depth. Stable counterpropagating solitons in ring lattices can find applications in gyroscope interferometers with ultra-cold gases.
LanguageEnglish
Article number043626
Number of pages9
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume94
DOIs
Publication statusPublished - 13 Oct 2016

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Bose-Einstein condensates
dissipation
solitary waves
rings
cold gas
gyroscopes
interferometers
collisions

Keywords

  • Bose-Einstein condensate
  • optical lattice
  • stationary lattice soliton
  • traveling lattice soliton
  • Gross-Pitaevskii equation

Cite this

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title = "Stationary and traveling solitons via local dissipations in Bose-Einstein condensates in ring optical lattices",
abstract = "A model of a Bose-Einstein condensate in a ring optical lattice with atomic dissipations applied at a stationary or at a moving location on the ring is presented. The localized dissipation is shown to generate and stabilize both stationary and traveling lattice solitons. Among many localized solutions, we have generated spatially stationary quasiperiodic lattice solitons and a family of traveling lattice solitons with two intensity peaks per potential well with no counterpart in the discrete case. Collisions between traveling and stationary lattice solitons as well as between two traveling lattice solitons display a critical dependence from the lattice depth. Stable counterpropagating solitons in ring lattices can find applications in gyroscope interferometers with ultra-cold gases.",
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author = "Russell Campbell and Gian-Luca Oppo",
note = "Campbell, R., & Oppo, G-L. (2016). Stationary and traveling solitons via local dissipations in Bose-Einstein condensates in ring optical lattices. Physical Review A - Atomic, Molecular, and Optical Physics, 1-9. Copyright (2016) by the American Physical Society",
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N2 - A model of a Bose-Einstein condensate in a ring optical lattice with atomic dissipations applied at a stationary or at a moving location on the ring is presented. The localized dissipation is shown to generate and stabilize both stationary and traveling lattice solitons. Among many localized solutions, we have generated spatially stationary quasiperiodic lattice solitons and a family of traveling lattice solitons with two intensity peaks per potential well with no counterpart in the discrete case. Collisions between traveling and stationary lattice solitons as well as between two traveling lattice solitons display a critical dependence from the lattice depth. Stable counterpropagating solitons in ring lattices can find applications in gyroscope interferometers with ultra-cold gases.

AB - A model of a Bose-Einstein condensate in a ring optical lattice with atomic dissipations applied at a stationary or at a moving location on the ring is presented. The localized dissipation is shown to generate and stabilize both stationary and traveling lattice solitons. Among many localized solutions, we have generated spatially stationary quasiperiodic lattice solitons and a family of traveling lattice solitons with two intensity peaks per potential well with no counterpart in the discrete case. Collisions between traveling and stationary lattice solitons as well as between two traveling lattice solitons display a critical dependence from the lattice depth. Stable counterpropagating solitons in ring lattices can find applications in gyroscope interferometers with ultra-cold gases.

KW - Bose-Einstein condensate

KW - optical lattice

KW - stationary lattice soliton

KW - traveling lattice soliton

KW - Gross-Pitaevskii equation

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