6 citations · 23 across the 11 of their papers we have counts for
11 papers
Boson Representation of Spin Operators
Lasha Tkeshelashvili
The derivation of the boson representation of spin operators is given which reproduces the Holstein-Primakoff and Dyson-Maleev transformations in the corresponding cases. The sugge…
Coupled-mode theory for binary optical lattices
Lasha Tkeshelashvili
The coupled-mode theory is developed for description of the nonlinear wave dynamics in binary optical lattices. The obtained equations of motion accurately describe nonlinear wave…
Non-Markovian dynamics of the sine-Gordon solitons
Lasha Tkeshelashvili
The sine-Gordon equation exhibits a gap in its linear spectrum. That gives rise to memory, or non-Markovian, effects in the soliton formation processes. The generalized variational…
Negative refraction and spatial echo in optical waveguide arrays
Ramaz Khomeriki, Lasha Tkeshelashvili
The special symmetry properties of the discrete nonlinear Schrodinger equation allow a complete revival of the initial wavefunction. That is employed in the context of stationary p…
Metaferroelectrics: Artificial Ferroelectricity in Metamaterials
Lasha Tkeshelashvili
Metamaterials are artificial periodic structures which represent effective homogeneous medium for electromagnetic fields. Here I show that there exists an important class of such c…
Far-off-resonant wave interaction in one-dimensional photonic crystals with quadratic nonlinearity
Johannes-Geert Hagmann, Lasha Tkeshelashvili, Kurt Busch +1
We extend a recently developed Hamiltonian formalism for nonlinear wave interaction processes in spatially periodic dielectric structures to the far-off-resonant regime, and invest…