159 citations · 342 across the 11 of their papers we have counts for
11 papers
Compact-form solution to the time-dependent Schrödinger equation with an arbitrary potential
Ivan Gonoskov
We obtain exact solutions to the class of parabolic partial differential equations of arbitrary dimensionality and with arbitrary potentials. The solutions are presented in a compa…
Nonclassical light generation and control from laser-driven semiconductor intraband excitations
Ivan Gonoskov, René Sondenheimer, Christian Hünecke +3
We investigate the generation of higher-order harmonics from a quantum optics perspective via the interaction of a semiconductor with a coherent pump field focusing on the regime w…
On the diagonalization of quadratic Hamiltonians
Ville J. Härkönen, Ivan A. Gonoskov
A new procedure to diagonalize quadratic Hamiltonians is introduced. We show that one can find a unitary transformation such that the transformed quadratic Hamiltonian is diagonal…
Light-matter quantum dynamics of complex laser-driven systems
Ivan Gonoskov, Stefanie Gräfe
We propose a novel general approximation to transform and simplify the description of a complex fully-quantized system describing the interacting light and matter. The method has s…
Sub-cycle quantum electrodynamics in strongly laser-driven semiconductors
N. Tsatrafyllis, S. Kuhn, M. Dumergue +8
Electrodynamical processes induced in complex systems like semiconductors by strong electromagnetic fields, have traditionally/conventionally been described using semi-classical ap…
Single-step Propagators for calculation of time evolution in quantum systems with arbitrary interactions
Ivan Gonoskov, Mattias Marklund
We propose and develop a general method of numerical calculation of the wave function time evolution in a quantum system which is described by Hamiltonian of an arbitrary dimension…
Closed-form solution of a general three-term recurrence relation
Ivan Gonoskov
We present a closed-form solution for n-th term of a general three-term recurrence relation with arbitrary given n-dependent coefficients. The derivation and corresponding proof ar…
Anomalous radiative trapping in laser fields of extreme intensity
A. Gonoskov, A. Bashinov, I. Gonoskov +6
We demonstrate that charged particles in a sufficiently intense standing wave are compressed toward, and oscillate synchronously at, the maxima of the electric field. This unusual…
Probing nonperturbative QED with optimally focused laser pulses
A. Gonoskov, I. Gonoskov, C. Harvey +5
We study nonperturbative pair production in intense, focused laser fields called e-dipole pulses. We address the conditions required, such as the quality of the vacuum, for reachin…
Cyclic Operator Decomposition for Solving the Differential Equations
Ivan Gonoskov
We present an approach how to obtain solutions of arbitrary linear operator equation for unknown functions. The particular solution can be represented by the infinite operator seri…
Suppression of reflection from the grid boundary in solving the time-dependent Schroedinger equation by split-step technique with fast Fourier transform
A. A. Gonoskov, I. A. Gonoskov
We present an approach to numerically solving the time-dependent Schroedinger equation and other parabolic equations by the split-step technique with fast Fourier transform, which…