6 papers
Quantized Collective Fluctuations in Correlated Fermion Systems
S. S. Onuchin, Ya. S. Lyakhova, L. D. Silakov +1
Collective excitations in fermionic systems play a crucial role in determining their physical properties. An important challenge is to develop efficient theoretical approaches for…
Time-dependent fluctuating local field approach for description of the correlated fermions dynamics
L. D. Silakov, Ya. S. Lyakhova, A. N. Rubtsov
We formulate a time-dependent Fluctuating Local Field (TD-FLF) method for correlated fermion dynamics, extending the stationary FLF approach. The wavefunction is approximated as an…
Fluctuating field series: towards calculations of correlated systems with high accuracy
Ya. S. Lyakhova, S. D. Semenov, A. I. Lichtenstein +1
We introduce regular series expansion for weakly- and moderately-correlated fermionic systems, based on Fluctuating Local Field approach. The method relies on the explicit account…
Fluctuating local field approach to free energy of 1D molecules with strong collective electronic correlations
Yana S. Lyakhova, Evgeny A. Stepanov, Alexey N. Rubtsov
The impact of leading collective electronic fluctuations on a free energy of a prototype 1D model for molecular systems is considered within the recently developed Fluctuating Loca…
Effectively Trainable Semi-Quantum Restricted Boltzmann Machine
Ya. S. Lyakhova, E. A. Polyakov, A. N. Rubtsov
We propose a novel quantum model for the restricted Boltzmann machine (RBM), in which the visible units remain classical whereas the hidden units are quantized as noninteracting fe…
Classical evolution of subspaces
Yana Lyakhova, Arkady A. Popov, Sergey G. Rubin
We study evolution of manifolds after their creation at high energies. Several kinds of gravitational Lagrangians with higher derivatives are considered. It is shown analytically a…