Gavriil Shchedrin

Resonance width distribution for open quantum systems

Recent measurements of resonance widths for low-energy neutron scattering off heavy nuclei show large deviations from the standard Porter-Thomas distribution. We propose a new resonance width distribution based on the random matrix theory for an open quantum system. Two methods of derivation lead to a single analytical expression; in the limit of vanishing continuum coupling, we recover the Porter-Thomas distribution. The result depends on the ratio of typical widths

Analytic solution and pulse area theorem for three-level atoms

\Gamma

Axial anomaly contribution to the parity-nonconservation effects in atoms and ions

to the energy level spacing

Analytical model for laser-assisted recombination of hydrogenic atoms

D

New Approach to Quantum Amplification by Superradiant Emission of Radiation

via the dimensionless parameter

Layered Chaos in Mean-field and Quantum Many-body Dynamics.

\kappa=(\pi\Gamma/2D)

Damping-free collective oscillations of a driven two-component Bose gas in optical lattices

. The new distribution suppresses small widths and increases the probabilities of larger widths.

High-accuracy power series solutions with arbitrarily large radius of convergence for the fractional nonlinear Schrödinger-type equations

We report an analytic solution for a three-level atom driven by arbitrary time-dependent electromagnetic pulses. In particular, we consider far-detuned driving pulses and show an excellent match between our analytic result and the numerical simulations. We use our solution to derive a pulse area theorem for three--level

Expansion of fractional derivatives in terms of an integer derivative series: physical and numerical applications

V

A path from fractional Schr\"{o}dinger equation to design and discovery of novel quantum materials

and