122 citations · 129 across the 5 of their papers we have counts for
5 papers
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…
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…
Merits of using density matrices instead of wave functions in the stationary Schrödinger equation for systems with symmetries
E. Shpagina, F. Uskov, N. Il'in +1
The stationary Schrödinger equation can be cast in the form , where is the system's Hamiltonian and is the system's density matrix. We explore the merits of this…
Quantum speed limits for adiabatic evolution, Loschmidt echo and beyond
N. Il`in, O. Lychkovskiy
One often needs to estimate how fast an evolving state of a quantum system can depart from some target state or target subspace of a Hilbert space. Such estimates are known as quan…
Quantum control by von Neumann measurements
Alexander Pechen, Nikolai Il'in, Feng Shuang +1
A general scheme is presented for controlling quantum systems using evolution driven by non-selective von Neumann measurements, with or without an additional tailored electromagnet…