pinecone/core-2020-05-10-deduplication huggingface dataset:
Non-interacting single-impurity Anderson model: solution without using
  the equation-of-motion method

Ground-state properties of the non-interacting symmetric single-impurity
Anderson model (SIAM) are derived from the corresponding eigenenergy equation.
Explicit formulae are given for the ground-state energy, the hybridization, and
the momentum distribution that are essential quantities for variational
approaches to the interacting model. Various spectral functions, e.g., the
total density of states, the phase shift function, and the impurity spectral
function, are shown to agree with those obtained from the equation-of-motion
method (see supplementary material). For a constant hybridization strength and
a semi-elliptic host density of states it is seen that the impurity spectral
function builds up weight at the band edges.Comment: 15 pages plus 2 figures; inlcudes supporting informatio
Cavity-photon contribution to the effective interaction of electrons in
  parallel quantum dots

A single cavity photon mode is expected to modify the Coulomb interaction of
an electron system in the cavity. Here we investigate this phenomena in a
parallel double quantum dot system. We explore properties of the closed system
and the system after it has been opened up for electron transport. We show how
results for both cases support the idea that the effective electron-electron
interaction becomes more repulsive in the presence of a cavity photon field.
This can be understood in terms of the cavity photons dressing the polarization
terms in the effective mutual electron interaction leading to nontrivial
delocalization or polarization of the charge in the double parallel dot
potential. In addition, we find that the effective repulsion of the electrons
can be reduced by quadrupolar collective oscillations excited by an external
classical dipole electric field.Comment: PDF-LaTeX, RevTeX, 8 pages with 8 embedded PNG-figure
Spectroscopy of Rotating Linear Dilaton Black Holes From Boxed
  Quasinormal Modes

Numerical studies of the coupled Einstein-Klein-Gordon system have recently
revealed that confined scalar fields generically collapse to form caged black
holes. In the light of this finding, we analytically study the characteristic
resonance spectra of the confined scalar fields in rotating linear dilaton
black hole geometry. Confining mirrors (cage) are assumed to be placed in the
near-horizon region of a caged rotating linear dilaton black hole
$\frac{r_{m}-r_{2}}{r_{2}}\ll 1$ ($r_{m}$ is the radius of the cage and $r_{2}$
represents the event horizon). The radial part of the Klein-Gordon equation is
written as a Schr\"{o}dinger-like wave equation, which reduces to a Bessel
differential equation around the event horizon. Using analytical tools and
proper boundary conditions, we obtain the boxed-quasinormal mode frequencies of
the caged rotating linear dilaton black hole. Finally, we employ Maggiore's
method, which evaluates the transition frequency in the adiabatic invariant
quantity from the highly damped quasinormal modes, in order to investigate the
entropy/area spectra of the rotating linear dilaton black hole
High-temperature study of superconducting hydrogen and deuterium sulfide

Hydrogen-rich compounds are extensively explored as candidates for a
high-temperature superconductors. Currently, the measured critical temperature
of $203$ K in hydrogen sulfide (H$_3$S) is among the highest over all-known
superconductors. In present paper, using the strong-coupling Eliashberg theory
of superconductivity, we compared in detail the thermodynamic properties of two
samples containing different hydrogen isotopes H$_3$S and D$_3$S at $150$ GPa.
Our research indicates that it is possible to reproduce the measured values of
critical temperature $203$ K and $147$ K for H$_3$S and D$_3$S by using a
Coulomb pseudopotential of $0.123$ and $0.131$, respectively. However, we also
discuss a scenario in which the isotope effect is independent of pressure and
the Coulomb pseudopotential for D$_3$S is smaller than for H$_3$S. For both
scenarios, the energy gap, specific heat, thermodynamic critical field and
related dimensionless ratios are calculated and compared with other
conventional superconductors. We shown that the existence of the
strong-coupling and retardation effects in the systems analysed result in
significant differences between values obtained within the framework of the
Eliashberg formalism and the prediction of the Bardeen-Cooper-Schrieffer
theory.Comment: 7 pages, 9 figure
Bound states and Cooper pairs of molecules in 2D optical lattices
  bilayer

We investigate the formation of Cooper pairs, bound dimers and the
dimer-dimer elastic scattering of ultra- cold dipolar Fermi molecules confined
in a 2D optical lattice bilayer configuration. While the energy and their
associated bound states are determined in a variational way, the correlated
two-molecule pair is addressed as in the original Cooper formulation. We
demonstrate that the 2D lattice confinement favors the formation of zero center
mass momentum bound states. Regarding the Cooper pairs binding energy, this
depends on the molecule populations in each layer. Maximum binding energies
occur for non-zero (zero) pair momentum when the Fermi system is polarized
(unpolarized). We find an analytic expression for the dimer-dimer effective
interaction in the deep BEC regime. The present analysis represents a route for
addressing the BCS-BEC crossover superfluidity in dipolar Fermi gases confined
in 2D optical lattices within the current experimental panorama.Comment: 7 pages, 8 figure
Light-switching-light optical transistor based on metallic nanoparticle cross-chains geometry incorporating Kerr nonlinearity

This is the pre-peer reviewed version of the following article: AbdelMalek F., Aroua W., Haxha S., Flint I. (2016) 'Light-switching-light optical transistor based on metallic nanoparticle cross-chains geometry incorporating Kerr nonlinearity', Annalen der Physik, 58 (7-8), pp.560-507.E, which has\ud
been published in final form at http://onlinelibrary.wiley.com/doi/10.1002/andp.201500344/abstract.In this research work, we propose all-optical transistor based on metallic nanoparticle cross-chains geometry. The geometry of the proposed device consists of two silver nanoparticle chains arranged along the x- and z-axis. The x-chain contains a Kerr nonlinearity, the source beam is set at the left side of the later, while the control beam is located at the top side of the z-chain. The control beam can turn ON and OFF the light transmission of an incoming light. We report a theoretical model of a very small all-optical transistor proof-of-conceptmade of optical ‘light switching light’concept. We show that the transmission efficiency strongly depends on the control beam and polarization of the incoming light. We investigate the influence of a perfect reflector and reflecting substrate on the transmission of the optical signal when the control beam is turned ON and OFF. These new findings make our unique design a potential candidate for future highly-integrated optical information processing chips
Towards intrinsic phonon transport in single-layer MoS$_2$

The intrinsic lattice thermal conductivity of MoS$_2$ is an important aspect
in the design of MoS$_2$-based nanoelectronic devices. We investigate the
lattice dynamics properties of MoS$_2$ by first principles calculations. The
intrinsic thermal conductivity of single-layer MoS$_2$ is calculated using the
Boltzmann transport equation for phonons. The obtained thermal conductivity
agrees well with the measurements. The contributions of acoustic and optical
phonons to the lattice thermal conductivity are evaluated. The size dependence
of thermal conductivity is investigated as well.Comment: 14 pages, 5 figure
V-type electromagnetically induced transparency and saturation effect at
  the gas-solid interface

We theoretically study electromagnetically induced transparency (EIT) in
reflection spectra of V-type system at the gas-solid interface. In addition to
a narrow dip arising from the EIT effect, we find the other particular
saturation effect induced by pump field, which does not exist in $\Lambda$ or
$\Xi$ -type system reflection spectra. The saturation effect only induces an
intensity decrement in the reflection spectra, and there is no influence on the
narrow dip arising from the EIT effect. We detailedly calculate and analyze the
dependence of V-type system reflection spectra on probe field intensity, pump
field intensity, coherent decay rate, and the initial population after the
collision between atoms and the interface.Comment: 7 pages,7 figure
The Osgood Criterion and Finite-Time Cosmological Singularities

In this paper, we apply Osgood's criterion from the theory of ordinary
differential equations to detect finite-time singularities in a spatially flat
FLRW universe in the context of a perfect fluid, a perfect fluid with bulk
viscosity, and a Chaplygin and anti-Chaplygin gas. In particular, we applied
Osgood's criterion to demonstrate singularity behaviour for Type 0/big crunch
singularities as well as Type II/sudden singularities. We show that in each
case the choice of initial conditions is important as a certain number of
initial conditions leads to finite-time, Type 0 singularities, while other
precise choices of initial conditions which depend on the cosmological matter
parameters and the cosmological constant can avoid such a finite-time
singularity. Osgood's criterion provides a powerful and yet simple way of
deducing the existence of these singularities, and also interestingly enough,
provides clues of how to eliminate singularities from certain cosmological
models.Comment: To appear in Annalen der Physik (AdP
Two Cold Atoms in a Time-Dependent Harmonic Trap in One Dimension

We analyze the dynamics of two atoms with a short-ranged pair interaction in
a one-dimensional harmonic trap with time-dependent frequency. Our analysis is
focused on two representative cases: (i) a sudden change of the trapping
frequency from one value to another, and (ii) a periodic trapping frequency. In
case (i), the dynamics of the interacting and the corresponding non-interacting
systems turn out to be similar. In the second case, however, the interacting
system can behave quite differently, especially close to parametric resonance.
For instance, in the regions where such resonance occurs we find that the
interaction can significantly reduce the rate of energy increase. The
implications for applications of our findings to cool or heat the system are
also dicussed.Comment: Version accepted for publication in Annalen der Physi
On decoherence in quantum gravity

It was previously argued that the phenomenon of quantum gravitational
decoherence described by the Wheeler-DeWitt equation is responsible for the
emergence of the arrow of time. Here we show that the characteristic
spatio-temporal scales of quantum gravitational decoherence are typically
logarithmically larger than a characteristic curvature radius $R^{-1/2}$ of the
background space-time with a factor under the logarithm proportional to
$M_{P}^{2}/R$. This largeness is a direct consequence of the fact that gravity
is a non-renormalizable theory, as the corresponding effective field theory is
nearly decoupled from matter degrees of freedom in the physical limit
$M_{P}\to\infty$. Therefore, as such, quantum gravitational decoherence is too
ineffective to guarantee the emergence of the arrow of time at scales of
physical interest. We argue that the emergence of the arrow of time is directly
related to the nature and properties of physical observer.Comment: 28 pages, 3 figures; matches version published in Annalen der Physi
Electromagnetic characterization of bianisotropic metasurfaces on
  refractive substrates: General theoretical framework

We present a general methodology for electromagnetic homogenization and
characterization of bianisotropic metasurfaces formed by regular or random
arrangements of small arbitrary inclusions at the interface of two different
isotropic media. These topologies can provide the most general electric and
magnetic surface-bound dipolar responses to incident electromagnetic waves. The
approach unites and generalizes the earlier theories developed independently by
two research groups: the joint group of profs. Holloway and Kuester and the
joint group of profs. Simovski and Tretyakov. We demonstrate the use of both
formalisms in several example cases and discuss the differences between the two
approaches. Furthermore, we generalize the known theories for the bianisotropic
metasurfaces located at interfaces between two different media or on a
substrate. The generalized framework allows characterization of both periodical
or amorphous metasurfaces. The developed analytical theory can be used in the
analysis and synthesis of metasurfaces for a wide variety of applications
Nonlinear $\arcsin$-electrodynamics and asymptotic Reissner-Nordstr\"om
  black holes

A model of nonlinear electrodynamics with the Lagrangian density ${\cal L} =
-(1/\beta)\arcsin(\beta F_{\mu\nu}F^{\mu\nu}/4)$ is proposed. The scale
invariance and the dual invariance of electromagnetic fields are broken in the
model. In the limit $\beta\rightarrow 0$ one comes to Maxwell's electrodynamics
and the scale and dual invariances are recovered. We investigate the effect of
coupling electromagnetic fields with the gravitational field. The asymptotic
black hole solution is found which is similar to the Reissner-Nordstr\"om
solution. We obtain corrections to Coulomb's law and to the
Reissner-Nordstr\"om solution in the model proposed. The existence of the
regular asymptotic at $r\rightarrow 0$ was demonstrated. The mass of the black
hole is calculated possessing the electromagnetic origin. It was shown that
there are not superluminal fluctuations and principles of causality and
unitarity take place.Comment: 19 pages, 4 figures, to appear in Ann. Phys. (Berlin
Some Features of Scattering Problem in a $\kappa$-Deformed Minkowski
  Spacetime

The doubly special relativity (DSR) theories are suggested in order to
incorporate an observer-independent length scale in special theory of
relativity. The Magueijo-Smolin proposal of DSR is realizable through a
particular form of the noncommutative (NC) spacetime (known as
$\kappa$-Minkowski spacetime) in which the Lorentz symmetry is preserved. In
this framework, the NC parameter $\kappa$ provides the origin of natural cutoff
energy scale. Using a nonlinear deformed relativistic dispersion relation along
with the Lorentz transformations, we investigate some phenomenological facets
of two-body collision problem (without creation of new particles) in a
$\kappa$-Minkowski spacetime. By treating an elastic scattering problem, we
study effects of the Planck scale energy cutoff on some relativistic
kinematical properties of this scattering problem. The results are challenging
in the sense that as soon as one turns on the $\kappa$-spacetime extension, the
nature of the two-body collision alters from elastic to inelastic one. It is
shown also that a significant kinematical variable involving in heavy ion
collisions, the rapidity, is not essentially an additive quantity under a
sequence of the nonlinear representation of the Lorentz transformations.Comment: 16 pages, 2 figures, Accepted for Publication in Annalen der Physi
Anisotropy-assisted non-scattering coherent absorption of surface
  plasmon-polaritons

The ability to control propagation of electromagnetic guided modes lies at
the heart of integrated nanophotonics. Surface plasmon-polaritons are a class
of guided modes which can be employed in integrated optical systems. Here, we
present a theoretical design of a coherent surface plasmon absorber which can
perfectly harvest energy of coherently incident surface plasmons without
parasitic scattering into free space modes. Excitation of free space modes
which usually accompanies scattering of a surface plasmon by an interface
boundary is avoided due to specially tailored anisotropy of the absorber. The
concept of coherent SPP absorber is analyzed numerically for spatially
non-uniform and finite-size structures. We believe that our results will be
important for the development of integrated nanoplasmonic systems
Theory of the Robin quantum wall in a linear potential. I. Energy
  spectrum, polarization and quantum-information measures

Information-theoretical concepts are employed for the analysis of the
interplay between a transverse electric field $\mathscr{E}$ applied to a
one-dimensional surface and Robin boundary condition (BC), which with the help
of the extrapolation length $\Lambda$ zeroes at the interface a linear
combination of the quantum mechanical wave function and its spatial derivative,
and its influence on the properties of the structure. For doing this, exact
analytical solutions of the corresponding Schr\"{o}dinger equation are derived
and used for calculating energies, dipole moments, position $S_x$ and momentum
$S_k$ quantum information entropies and their Fisher information $I_x$ and
$I_k$ and Onicescu information energies $O_x$ and $O_k$ counterparts. It is
shown that the weak (strong) electric field changes the Robin wall into the
Dirichlet, $\Lambda=0$ (Neumann, $\Lambda=\infty$), surface. This
transformation of the energy spectrum and associated waveforms in the growing
field defines an evolution of the quantum-information measures; for example, it
is proved that for the Dirichlet and Neumann BCs the position (momentum)
quantum information entropy varies as a positive (negative) natural logarithm
of the electric intensity what results in their field-independent sum
$S_x+S_k$. Analogously, at $\Lambda=0$ and $\Lambda=\infty$ the position and
momentum Fisher informations (Onicescu energies) depend on the applied voltage
as $\mathscr{E}^{2/3}$ ($\mathscr{E}^{1/3}$) and its inverse, respectively,
leading to the field-independent product $I_xI_k$ ($O_xO_k$). Peculiarities of
their transformations at the finite nonzero $\Lambda$ are discussed and
similarities and differences between the three quantum-information measures in
the electric field are highlighted with the special attention being paid to the
configuration with the negative extrapolation length.Comment: 10 Figures, 1 Tabl
Theory of the Robin quantum wall in a linear potential. II.
  Thermodynamic properties

A theoretical analysis of the thermodynamic properties of the Robin wall
characterized by the extrapolation length $\Lambda$ in the electric field
$\mathscr{E}$ that pushes the particle to the surface is presented both in the
canonical and two grand canonical representations and in the whole range of the
Robin distance with the emphasis on its negative values which for the
voltage-free configuration support negative-energy bound state. For the
canonical ensemble, the heat capacity at $\Lambda<0$ exhibits a nonmonotonic
behavior as a function of the temperature $T$ with its pronounced maximum
unrestrictedly increasing for the decreasing fields as $\ln^2\mathscr{E}$ and
its location being proportional to $(-\ln\mathscr{E})^{-1}$. For the
Fermi-Dirac distribution, the specific heat per particle $c_N$ is a
nonmonotonic function of the temperature too with the conspicuous extremum
being preceded on the $T$ axis by the plateau whose magnitude at the vanishing
$\mathscr{E}$ is defined as $3(N-1)/(2N)k_B$, with $N$ being a number of the
particles. The maximum of $c_N$ is the largest for $N=1$ and, similar to the
canonical ensemble, grows to infinity as the field goes to zero. For the
Bose-Einstein ensemble, a formation of the sharp asymmetric feature on the
$c_N$-$T$ dependence with the increase of $N$ is shown to be more prominent at
the lower voltages. This cusp-like dependence of the heat capacity on the
temperature, which for the infinite number of bosons transforms into the
discontinuity of $c_N(T)$, is an indication of the phase transition to the
condensate state. Qualitative and quantitative explanation of these physical
phenomena is based on the variation of the energy spectrum by the electric
field
Superfluidity of a dipolar Fermi gas in 2D optical lattices bilayer

We propose a model for addressing the superfluidity of two different Fermi
species confined in a bilayer geometry of square optical lattices. The fermions
are assumed to be molecules with interlayer s-wave interactions, whose dipole
moments are oriented perpendicularly to the layers. Using functional integral
techniques we investigate the BCS-like state induced in the bilayer at finite
temperatures. In particular, we determine the critical temperature as a
function of the coupling strength between molecules in different layers and of
the interlayer spacing. By means of Ginzburg-Landau theory we calculate the
superfluid density. We also study the dimerized BEC phase through the
Berezinskii-Kosterlitz-Thouless transition, where the effective mass leads to
identify the crossover from BCS to BEC regimes. The possibility of tuning the
effective mass as a direct consequence of the lattice confinement, allows us to
suggest a range of values of the interlayer spacing, which would enable
observing this superfluidity within current experimental conditions.Comment: 11 pages, 5 figure
New aspects of quantization of Jackiw-Pi model: field-antifield
  formalism and noncommutativity

The so-called Jackiw-Pi (JP) model for massive vector fields is a three
dimensional, gauge invariant and parity preserving model which was discussed in
several contexts. In this paper we have discussed its quantum aspects through
the introduction of Planck scale objects, i.e., via noncommutativity and the
well known BV quantization. Namely, we have constructed the JP noncommutative
spacetime version and we have provided the BV quantization of the commutative
JP model and we have discussed its features. The noncommutativity has
introduced interesting new objects in JP's Planck scale framework.Comment: 25 pages, v4: Revised and final version. Accepted for publication in
  Annalen der Physik. arXiv admin note: text overlap with arXiv:hep-th/9412228,
  arXiv:hep-th/9910178, arXiv:hep-th/9705028, arXiv:hep-th/9703226,
  arXiv:1510.06713, arXiv:hep-th/0606121 by other author
On causality in nonlinear vacuum electrodynamics of the Pleba\'nski
  class

We investigate the Pleba\'nski class of electrodynamical theories, i.e.,
theories of nonlinear vacuum electrodynamics that derive from a
Lorentz-invariant Lagrangian (or Hamiltonian). In any such theory the light
rays are the lightlike geodesics of two optical metrics that depend on the
electromagnetic background field. A set of necessary and sufficient conditions
is found whose fulfillment secures that the optical metrics are causal in the
sense that the light rays are lightlike or timelike with respect to the
underlying space-time metric. Thereupon we derive conditions on the Lagrangian,
or the Hamiltonian, of the theory such that the causality conditions are
satisfied for all background fields. (The allowed values of the field strength
tensor are those for which the excitation tensor is finite and real.) The
general results are illustrated with several examples.Comment: 21 page
Entropic uncertainty relations for successive measurements of
  canonically conjugate observables

Uncertainties in successive measurements of general canonically conjugate
variables are examined. Such operators are approached within a limiting
procedure of the Pegg-Barnett type. Dealing with unbounded observables, we
should take into account a finiteness of detector resolution. An appropriate
reformulation of two scenarios of successive measurements is proposed and
motivated. Uncertainties are characterized by means of generalized entropies of
both the R\'{e}nyi and Tsallis types. The R\'{e}nyi and Tsallis formulations of
uncertainty relations are obtained for both the scenarios of successive
measurements of canonically conjugate operators. Entropic uncertainty relations
for the case of position and momentum are separately discussed.Comment: 9 pages, no figures. Final improvements. The bibliography is
  extended. To appear in Ann. Phys. (Berlin