133 citations · 1.5k across the 54 of their papers we have counts for
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Effective free-fermionic form factors and the XY spin chain
O. Gamayun, N. Iorgov, Yu. Zhuravlev
We introduce effective form factors for one-dimensional lattice fermions with arbitrary phase shifts. We study tau functions defined as series of these form factors. On the one han…
Solitary wave propagation in media with step-like inhomogeneities
Mariya Lizunova, Oleksandr Gamayun
We consider the wave propagation in media with step-like inhomogeneities. We choose two different protocols: (I) a step-like spatial dependence of the coupling constant that physic…
Semi-classical quantisation of magnetic solitons in the anisotropic Heisenberg quantum chain
Yuan Miao, Enej Ilievski, Oleksandr Gamayun
Using the algebro-geometric approach, we study the structure of semi-classical eigenstates in a weakly-anisotropic quantum Heisenberg spin chain. We outline how classical nonlinear…
A map between time-dependent and time-independent quantum many-body Hamiltonians
Oleksandr Gamayun, Oleg Lychkovskiy
Given a time-independent Hamiltonian , one can construct a time-dependent Hamiltonian by means of the gauge transformation $H_t=U_t \widetilde H \, U^\dagger_t-…
Nonequilibrium phase transition in transport through a driven quantum point contact
Oleksandr Gamayun, Artur Slobodeniuk, Jean-Sébastien Caux +1
We study transport of noninteracting fermions through a periodically driven quantum point contact (QPC) connecting two tight-binding chains. Initially, each chain is prepared in it…