2,541 research outputs found
Non-equilibrium reversible dynamics of work production in four-spin system in a magnetic field
A closed system of the equations for the local Bloch vectors and spin
correlation functions is obtained by decomplexification of the Liouville-von
Neumann equation for 4 magnetic particles with the exchange interaction that
takes place in an arbitrary time-dependent external magnetic field. The
analytical and numerical analysis of the quantum thermodynamic variables is
carried out depending on separable mixed initial state and the magnetic field
modulation. Under unitary evolution, non-equilibrium reversible dynamics of
power production in the finite environment is investigated.Comment: 12 pages, 3 figures, published version, title change
Dynamic equations for three different qudits in a magnetic field
A closed system of equations for the local Bloch vectors and spin correlation
functions of three magnetic qudits, which are in an arbitrary, time-dependent,
external magnetic field, is obtained using decomplexification of the
Liouville-von Neumann equation. The algorithm of the derivation of the dynamic
equations is presented. In the basis convenient for the important physical
applications structure constants of algebra su(2S+1) are calculated.Comment: 11 page
Localization in periodically modulated speckle potentials
Disorder in a 1D quantum lattice induces Anderson localization of the
eigenstates and drastically alters transport properties of the lattice. In the
original Anderson model, the addition of a periodic driving increases, in a
certain range of the driving's frequency and amplitude, localization length of
the appearing Floquet eigenstates. We go beyond the uncorrelated disorder case
and address the experimentally relevant situation when spatial correlations are
present in the lattice potential. Their presence induces the creation of an
effective mobility edge in the energy spectrum of the system. We find that a
slow driving leads to resonant hybridization of the Floquet states, by
increasing both the participation numbers and effective widths of the states in
the strongly localized band and decreasing values of these characteristics for
the states in the quasi-extended band. Strong driving homogenizes the bands, so
that the Floquet states loose compactness and tend to be spatially smeared. In
the basis of the stationary Hamiltonian, these states retain localization in
terms of participation number but become de-localized and spectrum-wide in term
of their effective widths. Signatures of thermalization are also observed.Comment: 6 pages, 3 figure
Comparison of machine learning methods for analysis of ulcerative colitis proteomic data
Ulcerative colitis is a chronic inflammatory disease of the gastrointestinal system, affecting adults and children. Its cause is unknown, and the knowledge of reliable biomarkers is limited, especially for children. That makes the search for new biomarkers and pushing forth the analysis of the available data particularly challenging. We investigate proteomic data from children patients as a promising source, and tackle the problem implementing the recently developed parenclitic network approach to machine learning algorithms that solve classification task for proteomic data from healthy and diseased. We expect our approach to be applicable to other gastrointestinal diseases
- …