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Quantum Monte Carlo simulation of BEC-impurity tunneling
A. S. Popova, V. V. Tiunova, A. N. Rubtsov
Polaron tunneling is a prominent example of a problem characterized by different energy scales, for which the standard quantum Monte Carlo methods face a slowdown problem. We propo…
Dual fermion method as a prototype of generic reference-system approach for correlated fermions
Sergey Brener, Evgeny A. Stepanov, Alexey N. Rubtsov +2
We present a purely diagrammatic derivation of the dual fermion scheme [Phys. Rev. B 77 (2008) 033101]. The derivation makes particularly clear that a similar scheme can be develop…
Collective magnetic fluctuations in Hubbard plaquettes captured by fluctuating local field method
Alexey N. Rubtsov, Evgeny A. Stepanov, Alexander I. Lichtenstein
We establish a way to handle main collective fluctuations in correlated quantum systems based on a Fluctuation Local Field concept. This technique goes beyond standard mean-field a…
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…