5,667 research outputs found
Topological phases and topological entropy of two-dimensional systems with finite correlation length
We elucidate the topological features of the entanglement entropy of a region
in two dimensional quantum systems in a topological phase with a finite
correlation length . Firstly, we suggest that simpler reduced quantities,
related to the von Neumann entropy, could be defined to compute the topological
entropy. We use our methods to compute the entanglement entropy for the ground
state wave function of a quantum eight-vertex model in its topological phase,
and show that a finite correlation length adds corrections of the same order as
the topological entropy which come from sharp features of the boundary of the
region under study. We also calculate the topological entropy for the ground
state of the quantum dimer model on a triangular lattice by using a mapping to
a loop model. The topological entropy of the state is determined by loop
configurations with a non-trivial winding number around the region under study.
Finally, we consider extensions of the Kitaev wave function, which incorporate
the effects of electric and magnetic charge fluctuations, and use it to
investigate the stability of the topological phase by calculating the
topological entropy.Comment: 17 pages, 4 figures, published versio
Design Fatigue Lives of Polypropylene Fibre Reinforced Polymer Concrete Composites
Flexural fatigue behavior of Poly-propylene fibre reinforced polymer concrete composites (PFRPCC) has been investigated at various stress levels and the statistical analysis of the data thus obtained has been carried out. Polymer Concrete Composite (PCC) samples without addition of any type of fibres were also tested for flexural fatigue. Forty specimens of PCC and One hundred and Forty One specimens of PFRPCC containing 0.5%, 1.0% and 2.0% polypropylene fibres were tested in fatigue using a MTS servo controlled test system. Fatigue life distributions of PCC as well as PFRPCC are observed to approximately follow a two parameter Weibull distribution with correlation coefficient exceeding 0.9. The parameters of the Weibull distribution have been obtained by various methods. Failure probability, which is an important parameter in the fatigue design of materials, has been used to obtain the design fatigue lives for the material. Comparison of design fatigue life of PCC and PFRPCC has been carried out and it is observed that addition of fibres enhances the design fatigue life of PCC
SU(2)-invariant spin-1/2 Hamiltonians with RVB and other valence bond phases
We construct a family of rotationally invariant, local, S=1/2 Klein
Hamiltonians on various lattices that exhibit ground state manifolds spanned by
nearest-neighbor valence bond states. We show that with selected perturbations
such models can be driven into phases modeled by well understood quantum dimer
models on the corresponding lattices. Specifically, we show that the
perturbation procedure is arbitrarily well controlled by a new parameter which
is the extent of decoration of the reference lattice. This strategy leads to
Hamiltonians that exhibit i) RVB phases in two dimensions, ii) U(1) RVB
phases with a gapless ``photon'' in three dimensions, and iii) a Cantor
deconfined region in two dimensions. We also construct two models on the
pyrochlore lattice, one model exhibiting a RVB phase and the other a U(1)
RVB phase.Comment: 16 pages, 15 figures; 1 figure and some references added; some minor
typos fixe
Supersymmetric Model of Spin-1/2 Fermions on a Chain
In recent work, N=2 supersymmetry has been proposed as a tool for the
analysis of itinerant, correlated fermions on a lattice. In this paper we
extend these considerations to the case of lattice fermions with spin 1/2 . We
introduce a model for correlated spin-1/2 fermions with a manifest N=4
supersymmetry, and analyze its properties. The supersymmetric ground states
that we find represent holes in an anti-ferromagnetic background.Comment: 15 pages, 10 eps figure
RLZAP: Relative Lempel-Ziv with Adaptive Pointers
Relative Lempel-Ziv (RLZ) is a popular algorithm for compressing databases of
genomes from individuals of the same species when fast random access is
desired. With Kuruppu et al.'s (SPIRE 2010) original implementation, a
reference genome is selected and then the other genomes are greedily parsed
into phrases exactly matching substrings of the reference. Deorowicz and
Grabowski (Bioinformatics, 2011) pointed out that letting each phrase end with
a mismatch character usually gives better compression because many of the
differences between individuals' genomes are single-nucleotide substitutions.
Ferrada et al. (SPIRE 2014) then pointed out that also using relative pointers
and run-length compressing them usually gives even better compression. In this
paper we generalize Ferrada et al.'s idea to handle well also short insertions,
deletions and multi-character substitutions. We show experimentally that our
generalization achieves better compression than Ferrada et al.'s implementation
with comparable random-access times
Closed Loop Testing of Microphonics Algorithms Using a Cavity Emulator
An analog crystal filter based cavity emulator is modified with reverse
biased varactor diodes to provide a tuning range of around 160 Hz. The piezo
drive voltage of the resonance controller is used to detune the cavity through
the bias voltage. A signal conditioning and summing circuit allows the
introduction of microphonics disturbance from a signal source or using real
microphonics data from cavity testing. This setup is used in closed loop with a
cavity controller and resonance controller to study the effectiveness of
resonance control algorithms suitable for superconducting cavities.Comment: Poster presented at LLRF Workshop 2023 (LLRF2023, arXiv: 2311.00901
Magnetic excitations in nuclei with neutron excess
The excitation of the , and modes in O, O,
O, O, Ca, Ca, Ca and Ca nuclei is
studied with self-consistent random phase approximation calculations.
Finite-range interactions of Gogny type, containing also tensor-isospin terms,
are used. We analyze the evolution of the magnetic resonances with the
increasing number of neutrons, the relevance of collective effects, the need of
a correct treatment of the continuum and the role of the tensor force.Comment: 18 pages, 12 figures, 2 tables, accepted for publication in Physical
Review
Biot-Savart correlations in layered superconductors
We discuss the superconductor to normal phase transition in an
infinite-layered type-II superconductor in the limit where the Josephson
coupling between layers is negligible. We model each layer as a neutral gas of
thermally excited pancake vortices. We assume the dominant interaction between
vortices in the same and in different layers is the electromagnetic interaction
between the screening currents induced by these vortices. Our main result,
obtained by exactly solving the leading order renormalization group flow, is
that the phase transition in this model is a Kosterlitz--Thouless transition
despite being a three--dimensional system. While the transition itself is
driven by the unbinding of two-dimensional pancake vortices, an RG analysis of
the low temperature phase and a mean-field theory of the high temperature phase
reveal that both phases possess three-dimensional correlations. An experimental
consequence of this is that the jump in the measured in-plane superfluid
stiffness, which is a universal quantity in 2d Kosterlitz-Thouless theory, will
receive a small non--universal correction (of order 1% in
BiSrCaCuO). This overall picture places some claims
expressed in the literature on a more secure analytical footing and also
resolves some conflicting views.Comment: 16 pages, 2 figures; minor typos corrected, references adde
LLRF System for the Fermilab PIP-II Superconducting LINAC
PIP-II is an 800 MEV superconducting linac that is in the initial
acceleration chain for the Fermilab accelerator complex. The RF system consists
of a warm front-end with an ion source, RFQ and buncher cavities along with 25
superconducting cryo-modules comprised of five different acceleration
. The LLRF system for the LINAC has to provide field and resonance
control for a total of 125 RF cavities.The LLRF system design is in the final
design review phase and will enter the production phase next year. The PIP-II
project is an international collaboration with various partner labs
contributing subsystems. The LLRF system design for the PIP-II Linac is
presented and the specification requirements and system performance in various
stages of testing are described in this paper.Comment: Talk presented at LLRF Workshop 2023 (LLRF2023, arXiv: 2311.00900
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