27 citations · 114 across the 15 of their papers we have counts for
15 papers
Layered Chaos in Mean-field and Quantum Many-body Dynamics
Marc Andrew Valdez, Gavriil Shchedrin, Fernando Sols +1
We investigate the dimension of the phase space attractor of a quantum chaotic many-body ratchet in the mean-field limit. Specifically, we explore a driven Bose-Einstein condensate…
Magnus expansion method for two-level atom interacting with few-cycle pulse
Tuguldur Begzjav, Jonathan S. Ben-Benjamin, Hichem Eleuch +3
Using the Magnus expansion to the fourth order, we obtain analytic expressions for the atomic state of a two-level system driven by a laser pulse of arbitrary shape with small puls…
Fractional derivative of composite functions: exact results and physical applications
Gavriil Shchedrin, Nathanael C. Smith, Anastasia Gladkina +1
We examine the fractional derivative of composite functions and present a generalization of the product and chain rules for the Caputo fractional derivative. These results are espe…
Light, the universe, and everything -- 12 Herculean tasks for quantum cowboys and black diamond skiers
Girish Agarwal, Roland Allen, Iva Bezdekova +29
The Winter Colloquium on the Physics of Quantum Electronics (PQE) has been a seminal force in quantum optics and related areas since 1971. It is rather mindboggling to recognize ho…
Exact results for a fractional derivative of elementary functions
Gavriil Shchedrin, Nathanael C. Smith, Anastasia Gladkina +1
We present exact analytical results for the Caputo fractional derivative of a wide class of elementary functions, including trigonometric and inverse trigonometric, hyperbolic and…
Expansion of fractional derivatives in terms of an integer derivative series: physical and numerical applications
Anastasia Gladkina, Gavriil Shchedrin, U. Al Khawaja +1
We use the displacement operator to derive an infinite series of integer order derivatives for the Grünwald-Letnikov fractional derivative and show its correspondence to the Rieman…
Absence of Landau damping in driven three-component Bose-Einstein condensate in optical lattices
Gavriil Shchedrin, Daniel Jaschke, Lincoln D. Carr
We explore the quantum many-body physics of a three-component Bose-Einstein condensate (BEC) in an optical lattices driven by laser fields in and configurations. We obtain…
Nambu identity and collective modes in superconductors and superfluid He
Gavriil Shchedrin, David M. Lee
Collective modes manifest themselves in a variety of different physical systems ranging from superconductors to superfluid He. The collective modes are generated via the Higg…
Analytic solution and pulse area theorem for three-level atoms
Gavriil Shchedrin, Chris O'Brien, Yuri Rostovtsev +1
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 e…
Many-body Quantum Chaos and Entanglement in a Quantum Ratchet
Marc Andrew Valdez, Gavriil Shchedrin, Martin Heimsoth +3
We uncover signatures of quantum chaos in the many-body dynamics of a Bose-Einstein condensate-based quantum ratchet in a toroidal trap. We propose measures including entanglement,…
Damping-free collective oscillations of a driven two-component Bose gas in optical lattices
Gavriil Shchedrin, Daniel Jaschke, Lincoln D. Carr
We explore quantum many-body physics of a driven Bose-Einstein condensate in optical lattices. The laser field induces a gap in the generalized Bogoliubov spectrum proportional to…
Late time evolution of the gravitational wave damping in the early Universe
Gavriil Shchedrin
An analytical solution for time evolution of the gravitational wave damping in the early Universe due to freely streaming neutrinos is found in the late time regime. The solution i…
Resonance width distribution for open quantum systems
Gavriil Shchedrin, Vladimir Zelevinsky
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 reso…
Axial anomaly contribution to the parity nonconservation effects in atoms and ions
Gavriil Shchedrin, Leonti Labzowsky
The contribution of the axial triangle anomalous graph to the parity non-conservation effect in atoms is evaluated. The final answer looks like the emission of the electric photon…
Analytical model for laser-assisted recombination of hydrogenic atoms
Gavriil Shchedrin, Alexander Volberg
We introduce a new method that allows one to obtain an analytical cross section for the laser-assisted electron-ion collision in a closed form. As an example we perform a calculati…