62 citations · 686 across the 51 of their papers we have counts for
5 papers · 1 filter
Duality between open systems and closed bilayer systems: Thermofield double states as quantum many-body scars
Alexander Teretenkov, Oleg Lychkovskiy
We establish a duality between open many-body systems governed by the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation and satisfying the detailed balance condition on the one…
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…
Closed hierarchy of Heisenberg equations in integrable models with Onsager algebra
Oleg Lychkovskiy
Dynamics of a quantum system can be described by coupled Heisenberg equations. In a generic many-body system these equations form an exponentially large hierarchy that is intractab…
Thermodynamics at zero temperature: inequalities for the ground state of a quantum many-body system
N. Il'in, E. Shpagina, O. Lychkovskiy
We prove that for a single-component many-body system at zero temperature the inequality holds, where is the interaction energy, is pres…
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…