45 research outputs found
Non-analytic Vortex Core and a Nonlinear Vortex Flow in Bosonic Superfluids
We analyze the disorder limited motion of quantum vortices in a
two-dimensional bosonic superfluid with a large healing length. It is shown
that the excitations of low-energy degrees of freedom associated with the
non-analytic reconstruction of the vortex core [Ann. Phys. {\bf 346}, 195
(2014)] determine strong non-linear effects in the vortex transport at
velocities much smaller than Landau's critical velocity. Experiments are
suggested to verify our predictions.Comment: 5 pages, 3 figure
Three-particle Complexes in Two-Dimensional Semiconductors
We map the three-body problem in two dimensions onto one particle in a three
dimensional potential treatable by a purposely-developed
boundary-matching-matrix method. We evaluate binding energies of trions
, excitons bound by a donor/acceptor charge , and overcharged
acceptors/donors in two-dimensional atomic crystals of transition metal
dichalcogenides, where interaction between charges features logarithmic
behavior at intermediate distances. We find that dissociation energy of
is, typically, much larger than that of localised exciton complexes,
so that trions are more resilient to heating, despite that their recombination
line in optics is much less red-shifted from the exciton line, as compared to
Comment: 5.1 pages, 3 figures,+ supplementary material (5 pages); Improved
numerics; Monte Carlo data added; Published versio
Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves
We extend the Keldysh technique to enable the computation of out-of-time
order correlators. We show that the behavior of these correlators is described
by equations that display initially an exponential instability which is
followed by a linear propagation of the decoherence between two initially
identically copies of the quantum many body systems with interactions. At large
times the decoherence propagation (quantum butterfly effect) is described by a
diffusion equation with non-linear dissipation known in the theory of
combustion waves. The solution of this equation is a propagating non-linear
wave moving with constant velocity despite the diffusive character of the
underlying dynamics. Our general conclusions are illustrated by the detailed
computations for the specific models describing the electrons interacting with
bosonic degrees of freedom (phonons, two-level-systems etc.) or with each
other