4 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…
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…
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…