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20162022
most citedTwo-time correlation functions and the Lee-Yang zeros for an interacting Bose gas

23 citations · 88 across the 9 of their papers we have counts for

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quant-ph2022

Observation of spin-1 tunneling on a quantum computer

Kh. P. Gnatenko, V. M. Tkachuk

Spin-1 tunneling and splitting of energy levels as a result of tunneling are observed explicitly on IBM's quantum computer, ibmq-bogota. The spin-1 is realized with two spins-1/2.…

quant-ph202118 cited

Entanglement of graph states of spin system with Ising interaction and its quantifying on IBM's quantum computer

Kh. P. Gnatenko, V. M. Tkachuk

We consider graph states generated by operator of evolution with Ising Hamiltonian. The geometric measure of entanglement of a spin with other spins in the graph state is obtained…

quant-ph2019

Minimal momentum estimation in noncommutative phase space of canonical type with preserved rotational and time reversal symmetries

Kh. P. Gnatenko

Noncommutative algebra which is rotationally invariant, time reversal invariant and equivalent to noncommutative algebra of canonical type is considered. Perihelion shift of orbit…

quant-ph20181 cited

Features of description of composite system's motion in twist-deformed space-time

Kh. P. Gnatenko

Composite system made of particles is considered in twist-deformed space-time. It is shown that in the space the motion of the center-of-mass of the system depends on the relat…

quant-ph2018

Harmonic oscillator chain in noncommutative phase space with rotational symmetry

Kh. P. Gnatenko

We consider a quantum space with rotationally invariant noncommutative algebra of coordinates and momenta. The algebra contains tensors of noncommutativity constructed involving ad…

quant-ph2018

Parameters of noncommutativity in Lie-algebraic noncommutative space

Kh. P. Gnatenko

We find condition on the parameters of noncommutativity on which a list of important results can be obtained in a space with Lie-algebraic noncommutativity. Namely, we show that th…