23 citations · 105 across the 30 of their papers we have counts for
31 papers
Quantum dynamics of spinful impurity in ideal Bose gas
O. Hryhorchak, V. Pastukhov
We discuss the quench dynamics of an isolated system composed of a single spinful impurity in the transverse Rabi field and bath of non-interacting three- and two-dimensional boson…
Two- and three-body bound states in one-dimensional Fermi bipolaron with three-body interaction
O. Hryhorchak, V. Pastukhov
We discuss the ground-state properties of two bosonic (or spin-1/2 fermionic in a singlet spin state) impurities immersed in a one-dimensional ideal Fermi gas with only the three-b…
One-dimensional tunneling of the two-body bound state
N. Shypka, O. Hryhorchak, V. Pastukhov
We consider bound and scattering states of the one-dimensional dimer formed by two coupled non-identical atoms when one of them also interacts with the zero-range potential located…
Four-body physics in low-dimensional bosons with three-body interaction
V. Polkanov, O. Hryhorchak, V. Pastukhov
The two-channel model for bosons with the three-body interaction is proposed. Similar to the Hamiltonian describing narrow Feshbach resonance in the two-body sector, our model incl…
Evolution of a single spin in ideal Bose gas at finite temperatures
O. Hryhorchak, G. Panochko, V. Pastukhov
We study the finite-temperature dynamics of non-interacting bosons with a single static spinful impurity immersed. A non-zero contact boson-impurity pairwise interaction is assumed…
Bipolaron in one-dimensional fermions with three-body interaction
O. Hryhorchak, G. Panochko, V. Pastukhov
The properties of the one-dimensional population-imbalanced fermions are discussed. The system is assumed to be in the two-body resonance where all two-body scattering leng…
Competition of superfluid phases in low-dimensional spin- fermions with - and -wave interactions
A. Nikolaeva, O. Hryhorchak, V. Pastukhov
The ground state of spin- fermions with contact -wave inter- and -wave intra-species interactions is discussed. Particularly, we formulate the mean field scheme for…
Trapped ideal Bose gas with a few heavy impurities
O. Hryhorchak, V. Pastukhov
We formulate a general scheme for calculation of thermodynamic properties of ideal Bose gas with microscopic number of static impurities immersed, when the system is loaded in the…
Polaron in almost ideal molecular Bose-Einstein condensate
O. Hryhorchak, V. Pastukhov
We discuss properties of a single impurity atom immersed in the spin- dilute Fermi gas with equal populations of two species in the deep Bose-Einstein condensate (BEC) phase.…
Efimov-like physics in fraction-dimensional Bose systems with three-body interaction
O. Hryhorchak, V. Pastukhov
A few-body properties of spinless Bose particles interacting via the contact three-body potential in geometries with fractional dimensions are considered. In the four-body…
Finite periodic comb
O. I. Hryhorchak, V. S. Pastukhov
A finit periodic comb was solved by the help of both classical approach based on a direct solving of a Sr\"{odinger} equation and a quantum wave impedance method. It was dem…
Application of a quantum wave impedance approach for a quantum capacitance calculation
O. I. Hryhorchak
A method for a calculation of quantum capacitance for a two-dimesional electron gas (2DEG) in potential wells of complicated geometry on the base of a quantum wave impedance techni…
An application of a quantum wave impedance method to finite periodic structures
O. I. Hryhorchak
The relations between a quantum wave impedance function and elements of transfer and scattering matrixes for quantum mechanical systems with arbitrary localized form of potential w…
Analytical representation of an iterative formula for a quantum wave impedance determination in a case of a piecewise constant potential
O. I. Hryhorchak
An analytical solution for a quantum wave impedance in a case of piesewise constant potential was derived. It is in fact an analytical depiction of a well-known iterative method of…
Effective technique of numerical investigation of systems with complicated geometry of a potential
O. I. Hryhorchak
We have developed the technique of a quantum wave impedance determination for the sequence of not only constant potentials but also for potentials of forms for which the solution o…
Numerical study of quantum mechanical systems using a quantum wave impedance approach
O. I. Hryhorchak
The approximate numerical method for a calculation of a quantum wave impedance in a case of a potential energy with a complicated spatial structure is considered. It was proved tha…
Application of a quantum wave impedance method for study of infinite and semi-infinite periodic media
O. I. Hryhorchak
This paper is dedicated to an application of a quantum wave impedance approach for a study of infinite and semi-infinite periodic systems. Both a Dirac comb and a comb as we…
Application of a quantum wave impedance method for zero-range singular potentials
O. I. Hryhorchak
An application of a quantum wave impedance method for a study of quantum-mechanical systems which con\-tain singular zero-range potentials is considered. It was shown how to reform…
Quantum wave impedance calculation for an arbitrary piesewise constant potential
O. I. Hryhorchak
The method of a determination of a quantum wave impedance for an arbitrary piecewise constant potential was developed. On the base of this method both the well-known iterative form…
An application of a quantum wave impedance approach for solving a nonsymmetric single well problem
O. I. Hryhorchak
A short introduction of a relation between a Green's function and a quantum wave impedance function as well as its application to a determination of eigenenergies and eigenfunction…
Reformulation of a transmission and reflection problems in terms of a quantum wave impedance function
O. I. Hryhorchak
On the base of a 1D Shrödinger equation the non-linear first-order differential equation (Ricatti type) for a quantum wave impedance function was derived. The advantages of this ap…
Impurity in a three-dimensional unitary Bose gas
O. Hryhorchak, G. Panochko, V. Pastukhov
By using simple and efficient method we discuss properties of a single impurity immersed in three-dimensional Bose gas with the interaction between particles tuned to unitary limit…
Mean-field study of repulsive 2D and 3D Bose polarons
O. Hryhorchak, G. Panochko, V. Pastukhov
The detailed mean-field treatment of the Bose polaron problem in two and three dimensions is presented. Particularly, assuming that impurity is immersed in the dilute Bose gas and…
Large- expansion for condensation and stability of Bose-Bose mixtures at finite temperatures
Orest Hryhorchak, Volodymyr Pastukhov
The two-component mixture of Bose particles with short-range pairwise interaction at finite temperatures in three dimensions is considered. Particularly we examine, by means of the…