18 citations · 46 across the 8 of their papers we have counts for
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cond-mat.str-el2022★ 18 cited
Variational optimization of tensor-network states with the honeycomb-lattice corner transfer matrix
I. V. Lukin, A. G. Sotnikov
We develop a method of variational optimization of the infinite projected entangled pair states on the honeycomb lattice. The method is based on the automatic differentiation of th…
cond-mat.str-el2022★ 4 cited
Continuous matrix-product states in inhomogeneous systems with long-range interactions
I. V. Lukin, A. G. Sotnikov
We develop the continuous matrix-product states approach for description of inhomogeneous one-dimensional quantum systems with long-range interactions. The method is applied to the…
cond-mat.quant-gas2022★ 6 cited
Many-body localization in a quantum gas with long-range interactions and linear external potential
I. V. Lukin, Yu. V. Slyusarenko, A. G. Sotnikov
We study theoretically transitions between the localized and chaotic many-body regimes in one-dimensional quantum lattice systems with long-range couplings between particles and li…