268 research outputs found
Linked Into a Job?: the Ethical Considerations of Recruiting Through LinkedIn
LinkedIn’s goal is to help business professionals meet, make business deals, inquire about jobs, and find careers through connections with people that members already know. This research study will investigate the ethical practices of LinkedIn recruitment. Students’ awareness of the methods for effective use, as well as the damaging elements of a LinkedIn profile will be examined. LinkedIn is an effective, helpful tool for recruiting candidates and for job searching; however, the best results will come to those who use LinkedIn professionally and with caution. Our findings indicate that despite its risks, jobseekers and employers can benefit from using LinkedIn
Analytical results for the entanglement dynamics of disjoint blocks in the XY spin chain
The study of the dynamics of entanglement measures after a quench has become
a very active area of research in the last two decades, motivated by the
development of experimental techniques. However, exact results in this context
are available in only very few cases. In this work, we present the proof of the
quasiparticle picture for the dynamics of entanglement entropies for two
disjoint blocks in the XY chain after a quantum quench. As a byproduct, we also
prove the quasiparticle conjecture for the mutual information in that model.
Our calculations generalize those presented in [M. Fagotti, P. Calabrese, Phys.
Rev. A 78, 010306 (2008)] to the case where the correlation matrix is a
block-Toeplitz matrix, and rely on the multidimensional stationary phase
approximation in the scaling limit. We also test the quasiparticle predictions
against exact numerical calculations, and find excellent agreement. In the case
of three blocks, we show that the tripartite information vanishes when at least
two blocks are adjacent.Comment: 22 page
On reflected entropy and computable cross-norm negativity: Free theories and symmetry resolution
We investigate a separability criterion based on the computable cross-norm
(CCNR), and a related quantity called the CCNR negativity. We introduce a
reflected version of the CCNR negativity, and discuss its connection with other
well-established entanglement-related quantities, namely the reflected entropy
and the operator entanglement entropy. For free fermionic and bosonic theories,
we derive exact formulas in terms of two-point correlation functions, which
allows for systematic numerical investigations and, in principle, analytical
treatments. For systems with a global symmetry, we study the
symmetry-resolved reflected entropy and CCNR negativity. We provide conformal
field theory (CFT) results for the charged moments in the case of adjacent
intervals, finding perfect agreement with the numerics. We observe an
equipartition of reflected entropies and CCNR negativities, both for free
fermions and free bosons models. The first charge-dependent correction are
conjectured for fermions, and worked out from the CFT calculations for bosons.Comment: 9+2 pages, 3 figure
Quasiparticle dynamics of symmetry resolved entanglement after a quench: the examples of conformal field theories and free fermions
The time evolution of the entanglement entropy is a key concept to understand
the structure of a non-equilibrium quantum state. In a large class of models,
such evolution can be understood in terms of a semiclassical picture of moving
quasiparticles spreading the entanglement throughout the system. However, it is
not yet known how the entanglement splits between the sectors of an internal
local symmetry of a quantum many-body system. Here, guided by the examples of
conformal field theories and free-fermion chains, we show that the
quasiparticle picture can be adapted to this goal, leading to a general
conjecture for the charged entropies whose Fourier transform gives the desired
symmetry resolved entanglement . We point out two physically relevant
effects that should be easily observed in atomic experiments: a delay time for
the onset of which grows linearly with (the difference
from the charge and its mean value), and an effective equipartition when
is much smaller than the subsystem size.Comment: 7 pages, 2 figure
Bipartite fidelity of critical dense polymers
We investigate the bipartite fidelity for a lattice model
described by a logarithmic CFT: the model of critical dense polymers. We define
this observable in terms of a partition function on the pants geometry, where
defects enter at the top of the pants lattice and exit in one of the legs.
Using the correspondence with the XX spin chain, we obtain an exact closed-form
expression for and compute the leading terms in its
asymptotic expansion as a function of , where is the lattice
width at the top of the pants and is the width of the leg where the
defects exit. We find an agreement with the results of St\'ephan and Dubail for
rational CFTs, with the central charge and conformal weights specialised to
and .
We compute a second instance of the bipartite
fidelity for by imposing a different rule for the connection of the
defects. In the conformal setting, this choice corresponds to inserting two
boundary condition changing fields of weight that are logarithmic
instead of primary. We compute the asymptotic expansion in this case as well
and find a simple additive correction compared to , of the form
. We confirm this lattice result with a CFT
derivation and find that this correction term is identical for all logarithmic
theories, independently of and .Comment: 35 pages. v2: minor change
Separability and entanglement of resonating valence-bond states
We investigate separability and entanglement of Rokhsar-Kivelson (RK) states
and resonating valence-bond (RVB) states. These states play a prominent role in
condensed matter physics, as they can describe quantum spin liquids and quantum
critical states of matter, depending on their underlying lattices. For dimer RK
states on arbitrary tileable graphs, we prove the exact separability of the
reduced density matrix of disconnected subsystems, implying the absence of
bipartite and multipartite entanglement between the subsystems. For more
general RK states with local constraints, we argue separability in the
thermodynamic limit, and show that any local RK state has zero logarithmic
negativity, even if the density matrix is not exactly separable. In the case of
adjacent subsystems, we find an exact expression for the logarithmic negativity
in terms of partition functions of the underlying statistical model. For RVB
states, we show separability for disconnected subsystems up to exponentially
small terms in the distance between the subsystems, and that the
logarithmic negativity is exponentially suppressed with . We argue that
separability does hold in the scaling limit, even for arbitrarily small ratio
, where is the characteristic size of the subsystems. Our results hold
for arbitrary lattices, and encompass a large class of RK and RVB states, which
include certain gapped quantum spin liquids and gapless quantum critical
systems.Comment: 18 pages, 8 figures, v2: new discussion on multipartite entanglement
and separability, v3: minor modification
Bipartite fidelity for models with periodic boundary conditions
For a given statistical model, the bipartite fidelity is
computed from the overlap between the groundstate of a system of size and
the tensor product of the groundstates of the same model defined on two
subsystems and , of respective sizes and with . In this paper, we study for critical lattice models in the
case where the full system has periodic boundary conditions. We consider two
possible choices of boundary conditions for the subsystems and , namely
periodic and open. For these two cases, we derive the conformal field theory
prediction for the leading terms in the expansion of , in a
most general case that corresponds to the insertion of four and five fields,
respectively. We provide lattice calculations of , both exact and
numerical, for two free-fermionic lattice models: the XX spin chain and the
model of critical dense polymers. We study the asymptotic behaviour of the
lattice results for these two models and find an agreement with the predictions
of conformal field theory.Comment: 54 page
Multipartite information of free fermions on Hamming graphs
We investigate multipartite information and entanglement measures in the
ground state of a free-fermion model defined on a Hamming graph. Using the
known diagonalization of the adjacency matrix, we solve the model and construct
the ground-state correlation matrix. Moreover, we find all the eigenvalues of
the chopped correlation matrix when the subsystem consists of disjoint
Hamming subgraphs embedded in a larger one. These results allow us to find an
exact formula for the entanglement entropy of disjoint graphs, as well as for
the mutual and tripartite information. We use the exact formulas for these
measures to extract their asymptotic behavior in two distinct thermodynamic
limits, and find excellent match with the numerical calculations. In
particular, we find that the entanglement entropy admits a logarithmic
violation of the area law which decreases the amount of entanglement compared
to the area law scaling.Comment: 12 pages, 4 figures, v2: minor modification
Absence of logarithmic enhancement in the entanglement scaling of free fermions on folded cubes
This study investigates the scaling behavior of the ground-state entanglement
entropy in a model of free fermions on folded cubes. An analytical expression
is derived in the large-diameter limit, revealing a strict adherence to the
area law. The absence of the logarithmic enhancement expected for free fermions
is explained using a decomposition of folded cubes in chains based on its
Terwilliger algebra and . The entanglement Hamiltonian
and its relation to Heun operators are also investigated.Comment: 19 page
Lactic acid bacteria from fermented whey as a biocontrol tool against phytopathogenic microorganisms
Biological control is a bioeffector-method that uses organisms to control populations of other organisms. This method is widely used to prevent pests, diseases and weeds proving to be a viable alternative to avoid using antibiotics and pesticides in animal feed and crops. Lactic acid bacteria (LAB) have been identified as potencial microorganisms in the field of biocontrol. The aim of this work is identifing LAB present in whey, a byproduct generated during cheese manufacturing process, and studying their role in whey biocontrol activity against phytopathogenic microorganisms. A morphological identification by classic techniques and gene sequencing has been made in order to achieve microbiological characterization of whey from an individual cheese company. A total of 6 species of microorganisms have been identified: Pichia kudriavzevii, Lactobacillus rhamnosus, Lactobacillus fermentum, Lactobacillus helveticus, Lactobacillus zeae and Lactobacillus hilgardii. Biocontrol activity of those identified microorganisms has been tested against different phytopathogenic bacteria and fungus. All lactobacillus identified species showed activity against different bacteria tested. On the other hand only Pichia kudriavzevii and some identified Lactobacillus showed activity against fungus tested. It should be noted that whey biocontrol capability is likely to be related to bacterial activity instead of being due to their excreted metabolites during the fermentation process. This statement arises from the different response against microorganisms tested between both microfiltered and unfiltered whey: While the first did not show any biocontrol activity, the second one did. According to this results, we can conclude that whey could be applied to biological control of crops disease
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