133 citations · 1.5k across the 54 of their papers we have counts for
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Fredholm determinants, full counting statistics and Loschmidt echo for domain wall profiles in one-dimensional free fermionic chains
Oleksandr Gamayun, Oleg Lychkovskiy, Jean-Sébastien Caux
We consider an integrable system of two one-dimensional fermionic chains connected by a link. The hopping constant at the link can be different from that in the bulk. Starting from…
Zero temperature momentum distribution of an impurity in a polaron state of one-dimensional Fermi and Tonks-Girardeau gases
Oleksandr Gamayun, Oleg Lychkovskiy, Mikhail B. Zvonarev
We investigate the momentum distribution function of a single distinguishable impurity particle which formed a polaron state in a gas of either free fermions or Tonks-Girardeau bos…
On self-similar solutions of the vortex filament equation
O. Gamayun, O. Lisovyy
We study self-similar solutions of the binormal curvature flow which governs the evolution of vortex filaments and is equivalent to the Landau-Lifshitz equation. The corresponding…
Domain wall dynamics in the Landau--Lifshitz magnet and the classical-quantum correspondence for spin transport
Oleksandr Gamayun, Yuan Miao, Enej Ilievski
We investigate the dynamics of spin in the axially anisotropic Landau--Lifshitz field theory with a magnetic domain wall initial condition. Employing the analytic scattering techni…