62 citations · 686 across the 51 of their papers we have counts for
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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…
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-…
Testing eigenstate decoherence hypothesis in a model of collisional decoherence
Ivan V. Dudinets, Igor Ermakov, Oleg Lychkovskiy
The eigenstate decoherence hypothesis (EDH) asserts that each individual eigenstate of a large closed system is locally classical-like. We test this hypothesis for a heavy particle…
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…
Quantum speed limit for thermal states
Nikolai Il`in, Oleg Lychkovskiy
Quantum speed limits are rigorous estimates on how fast a state of a quantum system can depart from the initial state in the course of quantum evolution. Most known quantum speed l…