12 citations · 17 across the 6 of their papers we have counts for
6 papers
SU(4) Heisenberg model on the hyperhoneycomb lattice
I. V. Lukin, A. G. Sotnikov
We study the ground state of the SU(4) Heisenberg model on the hyperhoneycomb lattice using three-dimensional projected entangled pair states. We show that it is possible to comput…
Magnetic phases in the - antiferromagnetic XY model on the honeycomb lattice
I. V. Lukin, M. O. Luhanko, Yu. V. Slyusarenko +1
We study ground-state properties and phase diagram of the - antiferromagnetic XY model on the honeycomb lattice by means of the developed corner transfer matrix renor…
Physics-informed time series analysis with Kolmogorov-Arnold Networks under Ehrenfest constraints
Abhijit Sen, Illya V. Lukin, Kurt Jacobs +3
The prediction of quantum dynamical responses lies at the heart of modern physics. Yet, modeling these time-dependent behaviors remains a formidable challenge because quantum syste…
Dispersion Relations in Two- and Three-Dimensional Quantum Systems
Valeriia Bilokon, Elvira Bilokon, Illya Lukin +2
Extracting momentum-resolved excitation spectra in strongly correlated quantum systems remains a major challenge, especially beyond one spatial dimension. We present an efficient t…
Spectral gaps of two- and three-dimensional many-body quantum systems in the thermodynamic limit
Illya V. Lukin, Andrii G. Sotnikov, Jacob M. Leamer +2
We present an expression for the spectral gap, opening up new possibilities for performing and accelerating spectral calculations of quantum many-body systems. We develop and demon…
Corner transfer matrix renormalization group approach in the zoo of Archimedean lattices
I. V. Lukin, A. G. Sotnikov
We develop a new methodology to contract tensor networks within the corner transfer matrix renormalization group approach for a wide range of two-dimensional lattice geometries. We…