TY - JOUR
T1 - Modulation instability in helicoidal spin-orbit coupled open Bose-Einstein condensates
AU - Otlaadisa, Phelo
AU - Tabi, Conrad Bertrand
AU - Kofané, Timoléon Crépin
N1 - Funding Information:
The work by C.B.T. is supported by the Botswana International University of Science and Technology under the grant DVC/RDI/2/1/16I (25). C.B.T. thanks the Kavli Institute for Theoretical Physics (KITP), University of California Santa Barbara (USA).
Publisher Copyright:
© 2021 American Physical Society.
PY - 2021/5
Y1 - 2021/5
N2 - We introduce a vector form of the cubic complex Ginzburg-Landau equation describing the dynamics of dissipative solitons in the two-component helicoidal spin-orbit coupled open Bose-Einstein condensates (BECs), where the addition of dissipative interactions is done through coupled rate equations. Furthermore, the standard linear stability analysis is used to investigate theoretically the stability of continuous-wave (cw) solutions and to obtain an expression for the modulational instability gain spectrum. Using direct simulations of the Fourier space, we numerically investigate the dynamics of the modulational instability in the presence of helicoidal spin-orbit coupling. Our numerical simulations confirm the theoretical predictions of the linear theory as well as the threshold for amplitude perturbations.
AB - We introduce a vector form of the cubic complex Ginzburg-Landau equation describing the dynamics of dissipative solitons in the two-component helicoidal spin-orbit coupled open Bose-Einstein condensates (BECs), where the addition of dissipative interactions is done through coupled rate equations. Furthermore, the standard linear stability analysis is used to investigate theoretically the stability of continuous-wave (cw) solutions and to obtain an expression for the modulational instability gain spectrum. Using direct simulations of the Fourier space, we numerically investigate the dynamics of the modulational instability in the presence of helicoidal spin-orbit coupling. Our numerical simulations confirm the theoretical predictions of the linear theory as well as the threshold for amplitude perturbations.
UR - http://www.scopus.com/inward/record.url?scp=85105953939&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85105953939&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.103.052206
DO - 10.1103/PhysRevE.103.052206
M3 - Article
AN - SCOPUS:85105953939
SN - 2470-0045
VL - 103
JO - Physical Review E
JF - Physical Review E
IS - 5
M1 - 052206
ER -