Zobrazeno 1 - 10
of 20
pro vyhledávání: '"L H Haddad"'
Autor:
L H Haddad, Lincoln D Carr
Publikováno v:
New Journal of Physics, Vol 17, Iss 11, p 113011 (2015)
We analyze the vortex solution space of the $(2+1)$ -dimensional nonlinear Dirac equation for bosons in a honeycomb optical lattice at length scales much larger than the lattice spacing. Dirac point relativistic covariance combined with s-wave scatte
Externí odkaz:
https://doaj.org/article/8bd6e1034e7c41a68b81efa0fee33d33
Publikováno v:
New Journal of Physics, Vol 17, Iss 6, p 063033 (2015)
We present a thorough analysis of soliton solutions to the quasi-one-dimensional (quasi-1D) nonlinear Dirac equation (NLDE) for a Bose–Einstein condensate in a honeycomb lattice with armchair geometry. Our NLDE corresponds to a quasi-1D reduction o
Externí odkaz:
https://doaj.org/article/ab002bf0b3e241cd9b8dad57a4e66a83
Autor:
L H Haddad, Lincoln D Carr
Publikováno v:
New Journal of Physics, Vol 17, Iss 9, p 093037 (2015)
We present the theoretical and mathematical foundations of stability analysis for a Bose–Einstein condensate (BEC) at Dirac points of a honeycomb optical lattice. The combination of s -wave scattering for bosons and lattice interaction places const
Externí odkaz:
https://doaj.org/article/6a331a2bd85d47c19e4355944d27d18c
Autor:
L H Haddad, Lincoln D Carr
Publikováno v:
New Journal of Physics, Vol 17, Iss 6, p 063034 (2015)
The nonlinear Dirac equation for Bose–Einstein condensates (BECs) in honeycomb optical lattices gives rise to relativistic multi-component bright and dark soliton solutions. Using the relativistic linear stability equations, the relativistic genera
Externí odkaz:
https://doaj.org/article/fd7f4c3bab304faab864231aead78b12
Publikováno v:
Physical Review A. 91
We propose a detailed experimental procedure for preparing relativistic vortices, governed by the nonlinear Dirac equation, in a two-dimensional Bose-Einstein condensate (BEC) in a honeycomb optical lattice. Our setup contains Dirac points, in direct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1624afdaadbf8b8bc93b0c8c4eeeaf31
https://doi.org/10.1103/physreva.91.043609
https://doi.org/10.1103/physreva.91.043609
Autor:
Lincoln D. Carr, L. H. Haddad
We analyze the vortex solution space of the $(2 +1)$-dimensional nonlinear Dirac equation for bosons in a honeycomb optical lattice at length scales much larger than the lattice spacing. Dirac point relativistic covariance combined with s-wave scatte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a8d83bbbf5c01d62e82aa7782e11564
Publikováno v:
Frontiers in Optics 2014.
Bose-Einstein condensates in crystals of light with honeycomb geometry give rise to nonlinear Dirac equations and relativistic linear stability equations supporting a zoo of long-lived relativistic vortices, skyrmions, and solitons.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d3fcc91414d5957bada8075bdc9f947e
https://doi.org/10.1364/ls.2014.lm4h.3
https://doi.org/10.1364/ls.2014.lm4h.3
Autor:
L. H. Haddad, Lincoln D. Carr
The nonlinear Dirac equation for Bose-Einstein condensates in honeycomb optical lattices gives rise to relativistic multi-component bright and dark soliton solutions. Using the relativistic linear stability equations, the relativistic generalization
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d5de1070490733486e0e46fdb9e4e02b
We present a thorough analysis of soliton solutions to the quasi-one-dimensional nonlinear Dirac equation (NLDE) for a Bose-Einstein condensate in a honeycomb lattice with armchair geometry. Our NLDE corresponds to a quasi-one-dimensional reduction o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cba3753f0a8d26c35bba67558b38f984
Autor:
Lincoln D. Carr, L. H. Haddad
We present relativistic linear stability equations (RLSE) for quasi-relativistic cold atoms in a honeycomb optical lattice. These equations are derived from first principles and provide a method for computing stabilities of arbitrary localized soluti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7744cabf5a8d1db5d5f87f4511a9aed0
http://arxiv.org/abs/1006.3893
http://arxiv.org/abs/1006.3893