68 research outputs found
Finding the reconstructions of semiconductor surfaces via a genetic algorithm
In this article we show that the reconstructions of semiconductor surfaces
can be determined using a genetic procedure. Coupled with highly optimized
interatomic potentials, the present approach represents an efficient tool for
finding and sorting good structural candidates for further electronic structure
calculations and comparison with scanning tunnelling microscope (STM) images.
We illustrate the method for the case of Si(105), and build a database of
structures that includes the previously found low-energy models, as well as a
number of novel configurations.Comment: 4 figures, 1 tabl
Structure of Si(114) determined by global optimization methods
In this article we report the results of global structural optimization of
the Si(114) surface, which is a stable high-index orientation of silicon. We
use two independent procedures recently developed for the determination of
surface reconstructions, the parallel-tempering Monte Carlo method and the
genetic algorithm. These procedures, coupled with the use of a highly-optimized
interatomic potential for silicon, lead to finding a set of possible models for
Si(114), whose energies are recalculated with ab-initio density functional
methods. The most stable structure obtained here without experimental input
coincides with the structure determined from scanning tunneling microscopy
experiments and density functional calculations by Erwin, Baski and Whitman
[Phys. Rev. Lett. 77, 687 (1996)].Comment: 19 pages, 5 figure
Quantum Phase Transition of Spin-2 Cold Bosons in an Optical Lattice
The Bose-Hubbard Hamiltonian of spin-2 cold bosons with repulsive interaction
in an optical lattice is proposed. After neglecting the hopping term, the
site-independent Hamiltonian and its energy eigenvalues and eigenstates are
obtained. We consider the hopping term as a perturbation to do the calculations
in second order and draw the phase diagrams for different cases. The phase
diagrams show that there is a phase transition from Mott insulator with integer
number bosons to superfluid when the ratio ( is the
spin-independent on-site interaction and the hopping matrix element between
adjacent lattice sites) is decreased to a critical value and that there is
different phase boundary between superfluid and Mott insulator phase for
different Zeeman level component in some ground states. We find that the
position of phase boundary for different Zeeman level component is related to
its average population in the Mott ground state.Comment: 16 pages, 6 figure
Theory of spin-2 Bose-Einstein condensates: spin-correlations, magnetic response, and excitation spectra
The ground states of Bose-Einstein condensates of spin-2 bosons are
classified into three distinct (ferromagnetic, ^^ ^^ antiferromagnetic", and
cyclic) phases depending on the s-wave scattering lengths of binary collisions
for total-spin 0, 2, and 4 channels. Many-body spin correlations and magnetic
response of the condensate in each of these phases are studied in a mesoscopic
regime, while low-lying excitation spectra are investigated in the hermodynamic
regime. In the mesoscopic regime, where the system is so tightly confined that
the spatial degrees of freedom are frozen, the exact, many-body ground state
for each phase is found to be expressed in terms of the creation operators of
pair or trio bosons having spin correlations. These pairwise and trio-wise
units are shown to bring about some unique features of spin-2 BECs such as a
huge jump in magnetization from minimum to maximum possible values and the
robustness of the minimum-magnetization state against an applied agnetic field.
In the thermodynamic regime, where the system is spatially uniform, low-lying
excitation spectra in the presence of magnetic field are obtained analytically
using the Bogoliubov approximation. In the ferromagnetic phase, the excitation
spectrum consists of one Goldstone mode and four single-particle modes. In the
antiferromagnetic phase, where spin-singlet ^^ ^^ pairs" undergo Bose-Einstein
condensation, the spectrum consists of two Goldstone modes and three massive
ones, all of which become massless when magnetic field vanishes. In the cyclic
phase, where boson ^^ ^^ trios" condense into a spin-singlet state, the
spectrum is characterized by two Goldstone modes, one single-particle mode
having a magnetic-field-independent energy gap, and a gapless single-particle
mode that becomes massless in the absence of magnetic field.Comment: 28 pages, 4 figure
Dynamics of spin-2 Bose condensate driven by external magnetic fields
Dynamic response of the F=2 spinor Bose-Einstein condensate (BEC) under the
influence of external magnetic fields is studied. A general formula is given
for the oscillation period to describe population transfer from the initial
polar state to other spin states. We show that when the frequency and the
reduced amplitude of the longitudinal magnetic field are related in a specific
manner, the population of the initial spin-0 state will be dynamically
localized during time evolution. The effects of external noise and nonlinear
spin exchange interaction on the dynamics of the spinor BEC are studied. We
show that while the external noise may eventually destroy the Rabi oscillations
and dynamic spin localization, these coherent phenomena are robust against the
nonlinear atomic interaction.Comment: 16 pages, 7 figures. accepted by Phys. Rev.
On the single mode approximation in spinor-1 atomic condensate
We investigate the validity conditions of the single mode approximation (SMA)
in spinor-1 atomic condensate when effects due to residual magnetic fields are
negligible. For atomic interactions of the ferromagnetic type, the SMA is shown
to be exact, with a mode function different from what is commonly used.
However, the quantitative deviation is small under current experimental
conditions (for Rb atoms). For anti-ferromagnetic interactions, we find
that the SMA becomes invalid in general. The differences among the mean field
mode functions for the three spin components are shown to depend strongly on
the system magnetization. Our results can be important for studies of beyond
mean field quantum correlations, such as fragmentation, spin squeezing, and
multi-partite entanglement.Comment: Revised, newly found analytic proof adde
Competing orders in a magnetic field: spin and charge order in the cuprate superconductors
We describe two-dimensional quantum spin fluctuations in a superconducting
Abrikosov flux lattice induced by a magnetic field applied to a doped Mott
insulator. Complete numerical solutions of a self-consistent large N theory
provide detailed information on the phase diagram and on the spatial structure
of the dynamic spin spectrum. Our results apply to phases with and without
long-range spin density wave order and to the magnetic quantum critical point
separating these phases. We discuss the relationship of our results to a number
of recent neutron scattering measurements on the cuprate superconductors in the
presence of an applied field. We compute the pinning of static charge order by
the vortex cores in the `spin gap' phase where the spin order remains
dynamically fluctuating, and argue that these results apply to recent scanning
tunnelling microscopy (STM) measurements. We show that with a single typical
set of values for the coupling constants, our model describes the field
dependence of the elastic neutron scattering intensities, the absence of
satellite Bragg peaks associated with the vortex lattice in existing neutron
scattering observations, and the spatial extent of charge order in STM
observations. We mention implications of our theory for NMR experiments. We
also present a theoretical discussion of more exotic states that can be built
out of the spin and charge order parameters, including spin nematics and phases
with `exciton fractionalization'.Comment: 36 pages, 33 figures; for a popular introduction, see
http://onsager.physics.yale.edu/superflow.html; (v2) Added reference to new
work of Chen and Ting; (v3) reorganized presentation for improved clarity,
and added new appendix on microscopic origin; (v4) final published version
with minor change
Search for gravitational waves from Scorpius X-1 in the second Advanced LIGO observing run with an improved hidden Markov model
We present results from a semicoherent search for continuous gravitational waves from the low-mass x-ray binary Scorpius X-1, using a hidden Markov model (HMM) to track spin wandering. This search improves on previous HMM-based searches of LIGO data by using an improved frequency domain matched filter, the J-statistic, and by analyzing data from Advanced LIGO's second observing run. In the frequency range searched, from 60 to 650 Hz, we find no evidence of gravitational radiation. At 194.6 Hz, the most sensitive search frequency, we report an upper limit on gravitational wave strain (at 95% confidence) of h095%=3.47×10-25 when marginalizing over source inclination angle. This is the most sensitive search for Scorpius X-1, to date, that is specifically designed to be robust in the presence of spin wandering. © 2019 American Physical Society
Erratum: "A Gravitational-wave Measurement of the Hubble Constant Following the Second Observing Run of Advanced LIGO and Virgo" (2021, ApJ, 909, 218)
[no abstract available
Search for Gravitational Waves Associated with Gamma-Ray Bursts Detected by Fermi and Swift during the LIGO-Virgo Run O3b
We search for gravitational-wave signals associated with gamma-ray bursts (GRBs) detected by the Fermi and Swift satellites during the second half of the third observing run of Advanced LIGO and Advanced Virgo (2019 November 1 15:00 UTC-2020 March 27 17:00 UTC). We conduct two independent searches: A generic gravitational-wave transients search to analyze 86 GRBs and an analysis to target binary mergers with at least one neutron star as short GRB progenitors for 17 events. We find no significant evidence for gravitational-wave signals associated with any of these GRBs. A weighted binomial test of the combined results finds no evidence for subthreshold gravitational-wave signals associated with this GRB ensemble either. We use several source types and signal morphologies during the searches, resulting in lower bounds on the estimated distance to each GRB. Finally, we constrain the population of low-luminosity short GRBs using results from the first to the third observing runs of Advanced LIGO and Advanced Virgo. The resulting population is in accordance with the local binary neutron star merger rate. © 2022. The Author(s). Published by the American Astronomical Society
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