7 citations · 15 across the 16 of their papers we have counts for
8 papers · 1 filter
Geometric Kolmogorov--Arnold Network (GeoKAN)
Abhijit Sen, Bikram Keshari Parida, Giridas Maiti +2
We introduce Geometric Kolmogorov--Arnold Networks (GeoKANs), a family of geometry-aware KAN-type models in which approximation is carried out in learned, geometry-adapted coordina…
Symplectic split-operator method for the time-dependent unitary Tavis-Cummings model
Roman Ovsiannikov, Kurt Jacobs, Andrii G. Sotnikov +1
We present a fast, memory-efficient, unitarity-preserving numerical method beyond the rotating-wave approximation for the closed Tavis-Cummings model in which a multilevel spin sys…
The Birth of Quantum Mechanics and the Dirac Equation
Volodimir Simulik, Denys I. Bondar
The year 2025 marked the centennial of quantum mechanics, inaugurated by Heisenberg's matrix formulation and the foundational contributions of Pauli, Schrodinger, and Dirac. Concur…
NV-ensemble enabled microwave/NV parametric amplifier with optimal driving
Roman Ovsiannikov, Kurt Jacobs, Andrii G. Sotnikov +2
In our recent study [arXiv:2601.03407] we showed that a hybrid non-degenerate parametric amplifier could be realized for a microwave mode and an ensemble of NV-centers (or other sp…
Symplectic Split-Operator Propagators from Tridiagonalized Multi-Mode Bosonic Hilbert Spaces for Bose-Hubbard Hamiltonians
Denys I. Bondar, Ole Steuernagel
In this methods paper, we show how to tridia\-go\-nalize two families of bosonic multimode systems: optomechanical and Bose-Hubbard hamiltonians. Using tools from number theory, we…
Hilbert Space Black Hole Analog: Unidirectional Transport without Driving
Elvira Bilokon, Valeriia Bilokon, Frank Großmann +2
Black holes permit matter to cross their event horizon in only one direction. We show that interacting bosons in optical lattices with asymmetric barrier exhibit an analogous pheno…
Hybrid non-degenerate parametric amplifier for a microwave cavity mode and an NV ensemble
Roman Ovsiannikov, Kurt Jacobs, Andrii G. Sotnikov +2
We introduce an implementation of a non-degenerate parametric amplifier in which the signal and idler modes, respectively, a microwave mode and an ensemble of spins (e.g., nitrogen…
From Classical to Quantum Reinforcement Learning and Its Applications in Quantum Control: A Beginner's Tutorial
Abhijit Sen, Sonali Panda, Mahima Arya +3
This tutorial is designed to make reinforcement learning (RL) more accessible to undergraduate students by offering clear, example-driven explanations. It focuses on bridging the g…