62 citations · 686 across the 51 of their papers we have counts for
51 papers
Exactly solvable models for universal operator growth
Oleksandr Gamayun, Murtaza Ali Mir, Oleg Lychkovskiy +1
Quantum observables of generic many-body systems exhibit a universal pattern of growth in the Krylov space of operators. This pattern becomes particularly manifest in the Lanczos b…
Exact dynamics of quantum dissipative models: Wannier-Stark localization in the fragmented operator space
Alexander Teretenkov, Oleg Lychkovskiy
We address dissipative dynamics of the one-dimensional nearest-neighbour spin- chain governed by the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation. In the absence…
One-dimensional Fermi polaron after a kick: two-sided singularity of the momentum distribution, Bragg reflection and other exact results
Oleksandr Gamayun, Oleg Lychkovskiy
A mobile impurity particle immersed in a quantum fluid forms a polaron - a quasiparticle consisting of the impurity and a local disturbance of the fluid around it. We ask what happ…
Quantum dynamics in one and two dimensions via recursion method
Filipp Uskov, Oleg Lychkovskiy
We report an implementation of the recursion method that addresses quantum many-body dynamics in the nonperturbative regime. The method essentially amounts to constructing a Lanczo…
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…
Quantum speed limits for an open system in contact with a thermal bath
N. Il'in, A. Aristova, O. Lychkovskiy
We prove fundamental rigorous bounds on the speed of quantum evolution for a quantum system coupled to a thermal bath. The bounds are formulated in terms of expectation values of f…