TY  - JOUR
AU  - Gligorić, Goran
AU  - Radosavljević, Ana
AU  - Petrović, Jovana S.
AU  - Maluckov, Aleksandra
AU  - Hadžievski, Ljupčo
AU  - Malomed, Boris A.
PY  - 2017
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/1848
AB  - We address the stability and dynamics of eigenmodes in linearly shaped strings (dimers, trimers, tetramers, and pentamers) built of droplets in a binary Bose-Einstein condensate (BEC). The binary BEC is composed of atoms in two pseudo-spin states with attractive interactions, dressed by properly arranged laser fields, which induce the (pseudo-) spin-orbit (SO) coupling. We demonstrate that the SO-coupling terms help to create eigenmodes of particular types in the strings. Dimer, trimer, and pentamer eigenmodes of the linear system, which correspond to the zero eigenvalue (EV, alias chemical potential) extend into the nonlinear ones, keeping an exact analytical form, while tetramers do not admit such a continuation, because the respective spectrum does not contain a zero EV. Stability areas of these modes shrink with the increasing nonlinearity. Besides these modes, other types of nonlinear states, which are produced by the continuation of their linear counterparts corresponding to some nonzero EVs, are found in a numerical form (including ones for the tetramer system). They are stable in nearly entire existence regions in trimer and pentamer systems, but only in a very small area for the tetramers. Similar results are also obtained, but not displayed in detail, for hexa-and septamers.
T2  - Chaos
T1  - Models of spin-orbit-coupled oligomers
VL  - 27
IS  - 11
DO  - 10.1063/1.5000345
ER  - 

@article{
author = "Gligorić, Goran and Radosavljević, Ana and Petrović, Jovana S. and Maluckov, Aleksandra and Hadžievski, Ljupčo and Malomed, Boris A.",
year = "2017",
abstract = "We address the stability and dynamics of eigenmodes in linearly shaped strings (dimers, trimers, tetramers, and pentamers) built of droplets in a binary Bose-Einstein condensate (BEC). The binary BEC is composed of atoms in two pseudo-spin states with attractive interactions, dressed by properly arranged laser fields, which induce the (pseudo-) spin-orbit (SO) coupling. We demonstrate that the SO-coupling terms help to create eigenmodes of particular types in the strings. Dimer, trimer, and pentamer eigenmodes of the linear system, which correspond to the zero eigenvalue (EV, alias chemical potential) extend into the nonlinear ones, keeping an exact analytical form, while tetramers do not admit such a continuation, because the respective spectrum does not contain a zero EV. Stability areas of these modes shrink with the increasing nonlinearity. Besides these modes, other types of nonlinear states, which are produced by the continuation of their linear counterparts corresponding to some nonzero EVs, are found in a numerical form (including ones for the tetramer system). They are stable in nearly entire existence regions in trimer and pentamer systems, but only in a very small area for the tetramers. Similar results are also obtained, but not displayed in detail, for hexa-and septamers.",
journal = "Chaos",
title = "Models of spin-orbit-coupled oligomers",
volume = "27",
number = "11",
doi = "10.1063/1.5000345"
}

Gligorić, G., Radosavljević, A., Petrović, J. S., Maluckov, A., Hadžievski, L.,& Malomed, B. A.. (2017). Models of spin-orbit-coupled oligomers. in Chaos, 27(11).
https://doi.org/10.1063/1.5000345

Gligorić G, Radosavljević A, Petrović JS, Maluckov A, Hadžievski L, Malomed BA. Models of spin-orbit-coupled oligomers. in Chaos. 2017;27(11).
doi:10.1063/1.5000345 .

Gligorić, Goran, Radosavljević, Ana, Petrović, Jovana S., Maluckov, Aleksandra, Hadžievski, Ljupčo, Malomed, Boris A., "Models of spin-orbit-coupled oligomers" in Chaos, 27, no. 11 (2017),
https://doi.org/10.1063/1.5000345 . .