133 citations · 1.5k across the 54 of their papers we have counts for
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Full-counting statistics for the alternating and domain-wall states
Oleksandr Gamayun
For a one-dimensional system of free fermions, we derive a connection between the full counting statistics of domain-wall and alternating occupancy (Néel) states. This allows us to…
Out-of-equilibrium dynamics of the Kitaev model on the Bethe lattice via coupled Heisenberg equations
Oleksandr Gamayun, Oleg Lychkovskiy
The Kitaev model on the honeycomb lattice, while being integrable via the spin-fermion mapping, has generally resisted an analytical treatment of the far-from-equilibrium dynamics…
On the Dynamics of Free-Fermionic Tau-Functions at Finite Temperature
Daniel Chernowitz, Oleksandr Gamayun
In this work we explore an instance of the -function of vertex type operators, specified in terms of a constant phase shift in a free-fermionic basis. From the physical point of…
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…
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…
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…