5 citations · 15 across the 16 of their papers we have counts for
7 papers · 1 filter
CTMRG as a tensor-network message-passing algorithm
Illia Lukin, Andrii Sotnikov
We formulate the corner transfer matrix equations, and the corner transfer matrix renormalization group built on them, as a set of local equations on general planar graphs. These e…
Low-rank propagation for tridiagonalizable open quantum systems: near-linear scaling with system size
Roman Ovsiannikov, Kurt Jacobs, Andrii G. Sotnikov +1
The quadratic growth of the density matrix with Hilbert-space dimension D is the central obstacle to simulating large open quantum systems. We introduce a deterministic algorithm t…
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…
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…
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…
Towards spintronics via tunneling through asymmetric barriers
Elvira Bilokon, Valeriia Bilokon, Stanislava Litvinova +2
Spin transport typically relies on direct manipulation of the spin degree of freedom via magnetic fields, spin-orbit coupling, or engineered spin-dependent potentials. We show theo…
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…