485 research outputs found
Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases
We consider a one-dimensional gas of cold atoms with strong contact
interactions and construct an effective spin-chain Hamiltonian for a
two-component system. The resulting Heisenberg spin model can be engineered by
manipulating the shape of the external confining potential of the atomic gas.
We find that bosonic atoms offer more flexibility for tuning independently the
parameters of the spin Hamiltonian through interatomic (intra-species)
interaction which is absent for fermions due to the Pauli exclusion principle.
Our formalism can have important implications for control and manipulation of
the dynamics of few- and many-body quantum systems; as an illustrative example
relevant to quantum computation and communication, we consider state transfer
in the simplest non-trivial system of four particles representing
exchange-coupled qubits.Comment: 10 pages including appendix, 3 figures, revised versio
Symmetric photon-photon coupling by atoms with Zeeman-split sublevels
We propose a simple scheme for highly efficient nonlinear interaction between
two weak optical fields. The scheme is based on the attainment of
electromagnetically induced transparency simultaneously for both fields via
transitions between magnetically split F=1 atomic sublevels, in the presence of
two driving fields. Thereby, equal slow group velocities and symmetric
cross-coupling of the weak fields over long distances are achieved. By simply
tuning the fields, this scheme can either yield giant cross-phase modulation or
ultrasensitive two-photon switching.Comment: Modified scheme, 4 pages, 1 figur
Effect of time delay on the onset of synchronization of the stochastic Kuramoto model
We consider the Kuramoto model of globally coupled phase oscillators with
time-delayed interactions, that is subject to the Ornstein-Uhlenbeck (Gaussian)
colored or the non-Gaussian colored noise. We investigate numerically the
interplay between the influences of the finite correlation time of noise
and the time delay on the onset of the synchronization process. Both
cases for identical and nonidentical oscillators had been considered. Among the
obtained results for identical oscillators is a large increase of the
synchronization threshold as a function of time delay for the colored
non-Gaussian noise compared to the case of the colored Gaussian noise at low
noise correlation time . However, the difference reduces remarkably for
large noise correlation times. For the case of nonidentical oscillators, the
incoherent state may become unstable around the maximum value of the threshold
(as a function of time delay) even at lower coupling strength values in the
presence of colored noise as compared to the noiseless case. We had studied the
dependence of the critical value of the coupling strength (the threshold of
synchronization) on given parameters of the stochastic Kuramoto model in great
details and presented results for possible cases of colored Gaussian and
non-Gaussian noises.Comment: 19 pages with 7 figure
Joint density-functional theory for electronic structure of solvated systems
We introduce a new form of density functional theory for the {\em ab initio}
description of electronic systems in contact with a molecular liquid
environment. This theory rigorously joins an electron density-functional for
the electrons of a solute with a classical density-functional theory for the
liquid into a single variational principle for the free energy of the combined
system. A simple approximate functional predicts, without any fitting of
parameters to solvation data, solvation energies as well as state-of-the-art
quantum-chemical cavity approaches, which require such fitting.Comment: Fixed typos and minor updates to tex
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