115 citations · 221 across the 12 of their papers we have counts for
12 papers
Integrable deformations of the Dirac--sinh-Gordon system
Laith H. Haddad
We construct a two-dimensional family of integrable coupled Dirac--scalar field theories in dimensions, parameterized by $(\thz,α)\in[0,π/2]^2$, whose Lax connection takes va…
Higher-spin composites and emergent AdS geometry in the -dimensional Gross-Neveu model
Laith H. Haddad
We study the -dimensional Gross-Neveu (GN) model with fermion species and derive from it an emergent AdS geometry together with the leading entries of a holographic…
Spin-charge separation for paired Dirac fermions in dimensions
Laith H. Haddad
We study Dirac fermions at finite density coupled to a complex pairing field assumed to obey scalar field theory with quartic self-repulsion. The bulk of our work develops the math…
Superconductivity and quantum phase transitions in dense QCD
Laith H. Haddad
We present a new perspective on thermal and quantum phase transitions (QPT) in -dimensional quantum chromodynamics based on symmetries, topology, and quantum dynamical struc…
Quantum Berezinskii-Kosterlitz-Thouless transition in the superconducting phase of (2+1)-dimensional quantum chromodynamics
Laith H. Haddad
We study superconductivity in the hadron-quark mixed phase of planar quantum chromodynamics (QCD) within the large limit of a Gross-Neveu model modified by a repulsive vector t…
The nonlinear Dirac equation in Bose-Einstein condensates: Superfluid fluctuations and emergent theories from relativistic linear stability equations
L. H. Haddad, Lincoln D. Carr
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 o…
The nonlinear Dirac equation in Bose-Einstein condensates: Vortex solutions and spectra in a weak harmonic trap
L. H. Haddad, Lincoln D. Carr
We analyze the vortex solution space of the -dimensional nonlinear Dirac equation for bosons in a honeycomb optical lattice at length scales much larger than the lattice sp…
The nonlinear Dirac equation in Bose-Einstein condensates: II. Relativistic soliton stability analysis
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 rel…
The nonlinear Dirac equation in Bose-Einstein condensates: I. Relativistic solitons in armchair nanoribbon optical lattices
L. H. Haddad, C. M. Weaver, Lincoln D. Carr
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…
The nonlinear Dirac equation: Preparation and stability of relativistic vortices in Bose-Einstein condensates
L. H. Haddad, K. M. O'Hara, Lincoln D. Carr
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…
Relativistic linear stability equations for the nonlinear Dirac equation in Bose-Einstein condensates
L. H. Haddad, L. D. Carr
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 pr…
The Nonlinear Dirac Equation in Bose-Einstein Condensates: Foundation and Symmetries
L. H. Haddad, L. D. Carr
We show that Bose-Einstein condensates in a honeycomb optical lattice are described by a nonlinear Dirac equation in the long wavelength, mean field limit. Unlike nonlinear Dirac e…