84 research outputs found
Stability and spatial coherence of nonresonantly pumped exciton-polariton condensates
We investigate the stability and coherence properties of one-dimensional
exciton-polariton condensates under nonresonant pumping. We model the
condensate dynamics using the open-dissipative Gross-Pitaevskii equation. In
the case of spatially homogeneous pumping, we find that the instability of the
steady state leads to significant eduction of the coherence length. We consider
two effects that can lead to the stabilization of the steady state, i.e. the
polariton energy relaxation and the influence of an inhomogeneous pumping
profile. We find that, while the former has little effect on the stability, the
latter is very effective in stabilizing the condensate which results in a large
coherence length.Comment: 7 pages, 5 figure
Localization of Two-Component Bose-Einstein Condensates in Optical Lattices
We reveal underlying principles of nonlinear localization of a two-component
Bose-Einstein condensate loaded into a one-dimensional optical lattice. Our
theory shows that spin-dependent optical lattices can be used to manipulate
both the type and magnitude of nonlinear interaction between the ultracold
atomic species and to observe nontrivial two-componentnlocalized states of a
condensate in both bands and gaps of the matter-wave band-gap structure.Comment: 4 pages, 4 figure
Π ΠΎΡΡΠΈΠΉΡΠΊΠ°Ρ ΡΠΎΡΠΈΠΎΠ»ΠΎΠ³ΠΈΡ ΡΠ΅Π»ΠΈΠ³ΠΈΠΈ: ΡΠ΅Π»ΠΈΠ³ΠΈΡ ΠΎΠ±ΡΠ΅ΡΡΠ²Π° (Π²ΡΡΡΠΏΠΈΡΠ΅Π»ΡΠ½Π°Ρ ΡΡΠ°ΡΡΡ ΠΏΡΠΈΠ³Π»Π°ΡΠ΅Π½Π½ΠΎΠ³ΠΎ ΡΠ΅Π΄Π°ΠΊΡΠΎΡΠ°)
Π ΠΎΡΡΠΈΠΉΡΠΊΠ°Ρ ΡΠΎΡΠΈΠΎΠ»ΠΎΠ³ΠΈΡ ΡΠ΅Π»ΠΈΠ³ΠΈΠΈ ΠΈ ΡΠΈΡΠ΅ β ΡΠΎΡΠΈΠΎΠ»ΠΎΠ³ΠΈΡ ΡΠ΅Π»ΠΈΠ³ΠΈΠΈ ΠΏΠΎΡΡΡΠΎΠ²Π΅ΡΡΠΊΠΎΠ³ΠΎ Π°ΠΊΠ°Π΄Π΅ΠΌΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΊΠΎΠ½ΡΠΈΠ½ΡΡΠΌΠ° β ΡΠ°ΠΌΠΎΠ΄ΠΎΡΡΠ°ΡΠΎΡΠ½Π°Ρ ΠΎΡΡΠ°ΡΠ»Ρ ΡΠΎΡΠΈΠΎΠ»ΠΎΠ³ΠΈΠΈ, ΠΎΠ±Π»Π°Π΄Π°ΡΡΠ°Ρ ΡΠΎΠ±ΡΡΠ²Π΅Π½Π½ΡΠΌ ΡΠ΅ΠΎΡΠ΅ΡΠΈΠΊΠΎ-ΠΌΠ΅ΡΠΎΠ΄ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΠΌ ΠΈΠ½ΡΡΡΡΠΌΠ΅Π½ΡΠ°ΡΠΈΠ΅ΠΌ ΠΈ ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈ ΡΠ°Π·Π½ΠΎΠΎΠ±ΡΠ°Π·Π½ΡΠΌΠΈ ΠΏΡΠΈΠΊΠ»Π°Π΄Π½ΡΠΌΠΈ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡΠΌΠΈ ΡΠ΅Π»ΠΈΠ³ΠΈΠΉ ΡΠΎΠ²ΡΠ΅ΠΌΠ΅Π½Π½ΠΎΠ³ΠΎ ΠΎΠ±ΡΠ΅ΡΡΠ²Π°. Π Π΅Π΅ Π½ΡΠ½Π΅ΡΠ½Π΅ΠΌ ΠΈΠ½ΡΡΠΈΡΡΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎΠΌ ΠΌΠΎΠ΄ΡΡΠ΅ ΠΎΠ½Π° ΠΏΡΠΎΠ΄ΠΎΠ»ΠΆΠ°Π΅Ρ ΡΠ°Π·Π²ΠΈΠ²Π°ΡΡΡΡ Π² Π½Π°ΠΏΡΠ°Π²Π»Π΅Π½ΠΈΠΈ ΡΠΊΡΠ΅ΠΏΠ»Π΅Π½ΠΈΡ Π³ΡΠ°Π½ΠΈΡ ΡΠΎΠ±ΡΡΠ²Π΅Π½Π½ΠΎΠΉ Π΄ΠΈΡΡΠΈΠΏΠ»ΠΈΠ½Π°ΡΠ½ΠΎΠΉ ΠΈΠ΄Π΅Π½ΡΠΈΡΠ½ΠΎΡΡΠΈ. Π ΡΡΠΎ ΠΏΡΠ΅Π΄ΠΏΠΎΠ»Π°Π³Π°Π΅Ρ ΠΎΡΠΌΡΡΠ»Π΅Π½ΠΈΠ΅ ΠΊΠΎΠ½Π³ΡΡΡΠ½ΡΠ½ΠΎΡΡΠΈ Π΅Π΅ ΠΏΠ΅ΡΡΠΏΠ΅ΠΊΡΠΈΠ²Ρ ΡΠ°ΡΡΠΌΠΎΡΡΠ΅Π½ΠΈΡ ΡΠΎΡΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠΌΡ ΠΏΠΎΠΈΡΠΊΡ ΠΈ ΠΎΠ±Π½Π°ΡΡΠΆΠ΅Π½ΠΈΡ ΠΏΠ°ΡΠ°Π΄ΠΎΠΊΡΠ°Π»ΡΠ½ΡΡ
ΡΠ·Π»ΠΎΠ² ΡΠΎΡΠΈΠ°Π»ΡΠ½ΠΎΠΉ ΡΠ΅Π°Π»ΡΠ½ΠΎΡΡΠΈ, ΡΠΎΠ·Π΄Π°Π½ΠΈΡ ΠΌΠ΅ΡΠΎΠ΄ΠΎΠ»ΠΎΠ³ΠΈΠΉ ΡΠ½ΡΡΠΈΡ ΠΏΠ°ΡΠ°Π΄ΠΎΠΊΡΠΎΠ². ΠΠ°ΡΡΠΎΡΡΠ°Ρ ΡΡΠ°ΡΡΡ ΠΏΡΠ΅Π΄Π»Π°Π³Π°Π΅Ρ Π°Π½Π°Π»ΠΈΠ· ΠΎΠ±ΡΠ΅ΡΡΠ²Π΅Π½Π½ΠΎΠΉ Π·Π½Π°ΡΠΈΠΌΠΎΡΡΠΈ ΡΠ΅ΠΌ, Π²ΠΊΠ»ΡΡΠ΅Π½Π½ΡΡ
Π² ΡΡΠΎΡ Π½ΠΎΠΌΠ΅Ρ; ΠΎΠ½Π° ΡΠ°ΠΊΠΆΠ΅ ΡΠΎΠ΄Π΅ΡΠΆΠΈΡ Π°Π²ΡΠΎΠ±ΠΈΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ Π½Π°ΡΡΠ°ΡΠΈΠ²Ρ, Π±Π»Π°Π³ΠΎΠ΄Π°ΡΡ ΠΊΠΎΡΠΎΡΡΠΌ ΡΠΈΡΠ°ΡΠ΅Π»Ρ ΠΌΠΎΠΆΠ΅Ρ Π»ΠΈΡΠ½ΠΎ ΠΏΠΎΠ·Π½Π°ΠΊΠΎΠΌΠΈΡΡΡΡ Ρ ΠΊΠ°ΠΆΠ΄ΡΠΌ ΠΈΠ· Π°Π²ΡΠΎΡΠΎΠ², ΡΠ·Π½Π°ΡΡ ΠΎΠ± ΡΡΠ°ΠΏΠ°Ρ
ΡΠ°Π±ΠΎΡΡ Ρ ΡΠ΅ΠΌΠΎΠΉ ΠΈ ΠΏΡΡΡΡ
, ΠΏΡΠΈΠ²Π΅Π΄ΡΠΈΡ
ΡΡΠ΅Π½ΡΡ
Π² ΡΠ»ΠΎΠΆΠ½ΠΎΠ΅ ΠΏΠΎΠ»Π΅ ΡΠΎΡΠΈΠΎΠ»ΠΎΠ³ΠΈΠΈ ΡΠ΅Π»ΠΈΠ³ΠΈΠΈ. Π Π½Π΅ΠΎΠ±ΡΡΠ½ΠΎΠΌ ΡΠ΅ΠΏΠ΅ΡΡΡΠ°ΡΠ΅ ΡΡΠ°ΡΠ΅ΠΉ ΡΠΈΡΠ°ΡΠ΅Π»Ρ ΠΎΠ±ΡΠ·Π°ΡΠ΅Π»ΡΠ½ΠΎ Π½Π°ΠΉΠ΄Π΅Ρ ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π» ΠΏΠΎ Π²ΠΊΡΡΡ: ΠΌΠΎΠ΄Π΅Π»Ρ ΠΊΠ²Π°Π½ΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ Π²ΡΠ΅ΠΌΠ΅Π½ΠΈ ΡΠ΅Π»ΠΈΠ³ΠΈΠΎΠ·Π½ΡΡ
ΠΏΡΠΎΡΠ΅ΡΡΠΈΠΎΠ½Π°Π»ΠΎΠ², Π°Π»Π³ΠΎΡΠΈΡΠΌ ΠΏΠΎΡΡΡΠΎΠ΅Π½ΠΈΡ ΠΌΠ°ΡΡΡΡΡΠΈΠ·Π°ΡΠΎΡΠ° ΡΠ΅Π»ΠΈΠ³ΠΈΠΎΠ·Π½ΠΎΠ³ΠΎ ΠΏΡΠΎΡΡΡΠ°Π½ΡΡΠ²Π° Π³ΠΎΡΠΎΠ΄Π°, Π±ΠΈΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ΅ Π»Π΅ΠΉΡΠΌΠΎΡΠΈΠ²Π½ΠΎΠ΅ ΠΈΠ½ΡΠ΅ΡΠ²ΡΡ ΠΈ ΠΊΡΠΎΡΡΠΊΠΎΠ½ΡΠ΅ΡΡΠΈΠΎΠ½Π°Π»ΡΠ½ΡΠΉ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄ Π² ΠΈΠ·ΡΡΠ΅Π½ΠΈΠΈ ΡΠ΅Π»ΠΈΠ³ΠΈΠΎΠ·Π½ΠΎΡΡΠΈ, ΡΠ΅ΠΈΠ½ΡΡΠΈΡΡΡΠΈΠΎΠ½Π°Π»ΠΈΠ·Π°ΡΠΈΡ ΡΠΎΡΡΠΈΠΉΡΠΊΠΎΠ³ΠΎ ΠΈΡΠ»Π°ΠΌΠ° ΠΈ ΠΏΡΠ°Π²ΠΎΡΠ»Π°Π²ΠΈΡ, ΡΡΠ°Π½ΡΠ½Π°ΡΠΈΠΎΠ½Π°Π»ΡΠ½ΡΠ΅ ΡΡΡΠΈΠΉΡΠΊΠΈΠ΅ ΡΠ΅ΡΠΈ, Π±ΡΠ΄Π΄ΠΈΡΡΡ-ΠΊΠΎΠ½Π²Π΅ΡΡΠΈΡΡ ΠΈ ΠΌΡΡΡΠ»ΡΠΌΠ°Π½Π΅-ΠΊΠΎΠ½Π²Π΅ΡΡΠΈΡΡ, ΡΠ΅Π»ΠΈΠ³ΠΈΠΎΠ·Π½ΠΎ ΠΎΠ±ΡΡΠ»ΠΎΠ²Π»Π΅Π½Π½Π°Ρ ΠΏΠΎΠ»ΠΈΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΊΠΎΠ½ΡΠ»ΠΈΠΊΡΠ½ΠΎΡΡΡ, ΡΠ΅Π»ΠΈΠ³ΠΈΠΎΠ·Π½ΡΠ΅ ΠΌΠ΅Π½ΡΡΠΈΠ½ΡΡΠ²Π° ΠΌΠΈΠ³ΡΠ°Π½ΡΠΎΠ² Π² ΠΏΠΎΡΡΡ
ΡΠΈΡΡΠΈΠ°Π½ΡΠΊΠΎΠΌ ΠΏΡΠ°Π²ΠΎΠ²ΠΎΠΌ ΠΊΠΎΠ½ΡΠ΅ΠΊΡΡΠ΅, Π½Π΅ΠΏΡΠΈΡ
ΠΎΠ΄ΡΠΊΠΈΠ΅ ΠΏΡΠ°Π²ΠΎΡΠ»Π°Π²Π½ΡΠ΅ Π±ΡΠ°ΡΡΡΠ²Π°, ΡΠΈΠΏΠΎΠ»ΠΎΠ³ΠΈΠΈ ΡΠΎΠ²ΡΠ΅ΠΌΠ΅Π½Π½ΡΡ
ΡΠΎΡΡΠΈΠΉΡΠΊΠΈΡ
ΠΏΡΠ°Π²ΠΎΡΠ»Π°Π²Π½ΡΡ
, ΡΠΈΡΡΠΎΠ²ΠΎΠΉ Π±ΡΠ΄Π΄ΠΈΠ·ΠΌ ΠΈ ΠΎΠ½Π»Π°ΠΉΠ½ ΠΏΠ΅ΡΠ΅ΠΏΠΈΡΠΊΠ° Ρ ΡΡΠ°Π½ΡΡΠ΅Π½Π΄Π΅Π½ΡΠ½ΡΠΌ, ΠΌΠ΅Π΄ΠΈΠΉΠ½ΡΠ΅ ΡΡΠ΅Π΄Ρ ΡΡΠ°Π΄ΠΈΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΠΏΡΠ°Π²ΠΎΡΠ»Π°Π²ΠΈΡ
Stability of multi-hump optical solitons
We demonstrate that, in contrast with what was previously believed,
multi-hump solitary waves can be stable. By means of linear stability analysis
and numerical simulations, we investigate the stability of two- and three-hump
solitary waves governed by incoherent beam interaction in a saturable medium,
providing a theoretical background for the experimental results reported by M.
Mitchell, M. Segev, and D. Christodoulides [Phys. Rev. Lett. v. 80, p. 4657
(1998)].Comment: 4 pages, 5 figures, to appear in PR
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