22 citations · 75 across the 10 of their papers we have counts for
10 papers
Supersymmetry and Entanglement in the Generalized Dirac Oscillator
H. P. Laba, V. M. Tkachuk
The supersymmetric properties of the generalized Dirac oscillator allow us to determine the entanglement entropy between the spin and the continuous variable in a purely algebraic…
Detection of energy levels of a spin system on a quantum computer by probe spin evolution
Kh. P. Gnatenko, H. P. Laba, V. M. Tkachuk
We propose a method for detection of energy levels of arbitrary spin system on a quantum computer based on studies of evolution of only one probe spin. On the basis of the proposed…
Energy levels estimation on a quantum computer by evolution of a physical quantity
Kh. P. Gnatenko, H. P. Laba, V. M. Tkachuk
We show that the time dependence of mean value of a physical quantity is related with the transition energies of a quantum system. In the case when the operator of a physical quant…
Exact continuity equation in a space with minimal length
H. P. Laba, V. M. Tkachuk
We derive continuity equation and exact expression for flow probability density in a space with arbitrary deformed algebra leading to minimal length. In coordinate representation t…
Entangled states in supersymmetric quantum mechanics
H. P. Laba, V. M. Tkachuk
We study entanglement of spin degrees of freedom with continuous one in supersymmetric (SUSY) quantum mechanics. Concurrence is determined by mean value of spin and is calculated e…
Geometric measure of mixing of quantum state
H. P. Laba, V. M. Tkachuk
We define the geometric measure of mixing of quantum state as a minimal Hilbert-Schmidt distance between the mixed state and a set of pure states. An explicit expression for the ge…
Features of free particles system motion in noncommutative phase space
Kh. P. Gnatenko, H. P. Laba, V. M. Tkachuk
Influence of noncommutativity on the motion of composite system is studied in noncommutative phase space of canonical type. A system composed by free particles is examined. We…
Exact solution of generalized Dirac oscillator in electric field
H. P. Laba, V. M. Tkachuk
We study generalized (1+1)-dimensional Dirac oscillator in nonuniform electric field. It is shown that in the case of specially chosen electric field the eigenvalue equation can be…
Quantum mechanical analogy and supersymmetry of electromagnetic wave modes in planar waveguides
H. P. Laba, V. M. Tkachuk
We study an analogue of the equations describing TE and TM modes in a planar waveguide with an arbitrary continuous dependence of the electric permittivity and magnetic permeabilit…
Geometric characteristics of quantum evolution: curvature and torsion
H. P. Laba, V. M. Tkachuk
We study characteristics of quantum evolution which can be called curvature and torsion. The curvature shows a deviation of the state vector in quantum evolution from the geodesic…