104 citations · 1.1k across the 62 of their papers we have counts for
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Nonlinear Zeno dynamics due to atomic interactions in Bose-Einstein condensate
V. G. Navarro, V. S. Shchesnovich
We show that nonlinear interactions induce both the Zeno and anti-Zeno effects in the generalised Bose-Josephson model (with the on-site interactions and the second-order tunneling…
The second quantization method for indistinguishable particles (Lecture Notes in Physics, UFABC 2010)
V. S. Shchesnovich
Summary of the lectures: 1. Creation and annihilation operators for the system of indistinguishable particles 1.1 The permutation group and the states of a system of indistinguisha…
State engineering of Bose-Einstein condensate in the optical lattice by a periodic sublattice of dissipative sites
V. S. Shchesnovich
We introduce the notion of dissipative periodic lattice as an optical lattice with periodically distributed dissipative sites and argue that it allows to engineer unconventional Bo…
State diagram and the phase transition of -bosons in a square bi-partite optical lattice
V. S. Shchesnovich
It is shown that, in a reasonable approximation, the quantum state of -bosons in a bi-partite square two-dimensional optical lattice is governed by the nonlinear boson model des…
The three-site Bose-Hubbard model subject to atom losses: the boson-pair dissipation channel and failure of the mean-field approach
V. S. Shchesnovich, D. S. Mogilevtsev
We employ the perturbation series expansion for derivation of the reduced master equations for the three-site Bose-Hubbard model subject to strong atom losses from the central site…
Control of the Bose-Einstein condensate by dissipation. Nonlinear Zeno effect
V. S. Shchesnovich, V. V. Konotop
We show that controlled dissipation can be used as a tool for exploring fundamental phenomena and managing mesoscopic systems of cold atoms and Bose-Einstein condensates. Even the…
Mesoscopic quantum switching of a Bose-Einstein condensate in an optical lattice governed by the parity of the number of atoms
V. S. Shchesnovich
It is shown that for a -boson system the parity of can be responsible for a qualitative difference in the system response to variation of a parameter. The nonlinear boson mo…