18,296 research outputs found
Cumulative Prospect Theory Based Dynamic Pricing for Shared Mobility on Demand Services
Cumulative Prospect Theory (CPT) is a modeling tool widely used in behavioral
economics and cognitive psychology that captures subjective decision making of
individuals under risk or uncertainty. In this paper, we propose a dynamic
pricing strategy for Shared Mobility on Demand Services (SMoDSs) using a
passenger behavioral model based on CPT. This dynamic pricing strategy together
with dynamic routing via a constrained optimization algorithm that we have
developed earlier, provide a complete solution customized for SMoDS of
multi-passenger transportation. The basic principles of CPT and the derivation
of the passenger behavioral model in the SMoDS context are described in detail.
The implications of CPT on dynamic pricing of the SMoDS are delineated using
computational experiments involving passenger preferences. These implications
include interpretation of the classic fourfold pattern of risk attitudes,
strong risk aversion over mixed prospects, and behavioral preferences of self
reference. Overall, it is argued that the use of the CPT framework corresponds
to a crucial building block in designing socio-technical systems by allowing
quantification of subjective decision making under risk or uncertainty that is
perceived to be otherwise qualitative.Comment: 17 pages, 6 figures, and has been accepted for publication at the
58th Annual Conference on Decision and Control, 201
Magnetic Phase Transitions in One-dimensional Strongly Attractive Three-Component Ultracold Fermions
We investigate the nature of trions, pairing and quantum phase transitions in
one-dimensional strongly attractive three-component ultracold fermions in
external fields. Exact results for the groundstate energy, critical fields,
magnetization and phase diagrams are obtained analytically from the Bethe
ansatz solutions. Driven by Zeeman splitting, the system shows exotic phases of
trions, bound pairs, a normal Fermi liquid and four mixtures of these states.
Particularly, a smooth phase transition from a trionic phase into a pairing
phase occurs as the highest hyperfine level separates from the two lower energy
levels. In contrast, there is a smooth phase transition from the trionic phase
into a normal Fermi liquid as the lowest level separates from the two higher
levels.Comment: 4 pages, 3 figures, minor revisions to text, replacement figure, refs
added and update
Breaking time-reversal symmetry with a superconducting flux capacitor
We present the design of a passive, on-chip microwave circulator based on a
ring of superconducting tunnel junctions. We investigate two distinct physical
realisations, based on either Josephson junctions (JJ) or quantum phase slip
elements (QPS), with microwave ports coupled either capacitively (JJ) or
inductively (QPS) to the ring structure. A constant bias applied to the center
of the ring provides the symmetry breaking (effective) magnetic field, and no
microwave or rf bias is required. We find that this design offers high
isolation even when taking into account fabrication imperfections and
environmentally induced bias perturbations and find a bandwidth in excess of
500 MHz for realistic device parameters.Comment: 10 pages, 11 figures, including supplementary material - published as
"Passive on-chip, superconducting circulator using rings of tunnel junctions
Universal local pair correlations of Lieb-Liniger bosons at quantum criticality
The one-dimensional Lieb-Liniger Bose gas is a prototypical many-body system
featuring universal Tomonaga-Luttinger liquid (TLL) physics and free fermion
quantum criticality. We analytically calculate finite temperature local pair
correlations for the strong coupling Bose gas at quantum criticality using the
polylog function in the framework of the Yang-Yang thermodynamic equations. We
show that the local pair correlation has the universal value in the quantum critical regime, the TLL phase and the
quasi-classical region, where is the pressure per unit length rescaled by
the interaction energy with interaction
strength and linear density . This suggests the possibility to test
finite temperature local pair correlations for the TLL in the relativistic
dispersion regime and to probe quantum criticality with the local correlations
beyond the TLL phase. Furthermore, thermodynamic properties at high
temperatures are obtained by both high temperature and virial expansion of the
Yang-Yang thermodynamic equation.Comment: 8 pages, 6 figures, additional text and reference
The one-dimensional Hubbard model with open ends: Universal divergent contributions to the magnetic susceptibility
The magnetic susceptibility of the one-dimensional Hubbard model with open
boundary conditions at arbitrary filling is obtained from field theory at low
temperatures and small magnetic fields, including leading and next-leading
orders. Logarithmic contributions to the bulk part are identified as well as
algebraic-logarithmic divergences in the boundary contribution. As a
manifestation of spin-charge separation, the result for the boundary part at
low energies turns out to be independent of filling and interaction strength
and identical to the result for the Heisenberg model. For the bulk part at zero
temperature, the scale in the logarithms is determined exactly from the Bethe
ansatz. At finite temperature, the susceptibility profile as well as the
Friedel oscillations in the magnetisation are obtained numerically from the
density-matrix renormalisation group applied to transfer matrices. Agreement is
found with an exact asymptotic expansion of the relevant correlation function.Comment: 30 pages, 8 figures, reference adde
Integrable variant of the one-dimensional Hubbard model
A new integrable model which is a variant of the one-dimensional Hubbard
model is proposed. The integrability of the model is verified by presenting the
associated quantum R-matrix which satisfies the Yang-Baxter equation. We argue
that the new model possesses the SO(4) algebra symmetry, which contains a
representation of the -pairing SU(2) algebra and a spin SU(2) algebra.
Additionally, the algebraic Bethe ansatz is studied by means of the quantum
inverse scattering method. The spectrum of the Hamiltonian, eigenvectors, as
well as the Bethe ansatz equations, are discussed
Wilson ratio of Fermi gases in one dimension
We calculate the Wilson ratio of the one-dimensional Fermi gas with spin
imbalance. The Wilson ratio of attractively interacting fermions is solely
determined by the density stiffness and sound velocity of pairs and of excess
fermions for the two-component Tomonaga-Luttinger liquid (TLL) phase. The ratio
exhibits anomalous enhancement at the two critical points due to the sudden
change in the density of states. Despite a breakdown of the quasiparticle
description in one dimension, two important features of the Fermi liquid are
retained, namely the specific heat is linearly proportional to temperature
whereas the susceptibility is independent of temperature. In contrast to the
phenomenological TLL parameter, the Wilson ratio provides a powerful parameter
for testing universal quantum liquids of interacting fermions in one, two and
three dimensions.Comment: 5+2 pages, 4+1 figures, Eq. (4) is proved, figures were refine
Unconventional spin texture of a topologically nontrivial semimetal Sb(110)
The surfaces of antimony are characterized by the presence of spin-split
states within the projected bulk band gap and the Fermi contour is thus
expected to exhibit a spin texture. Using spin-resolved density functional
theory calculations, we determine the spin polarization of the surface bands of
Sb(110). The existence of the unconventional spin texture is corroborated by
the investigations of the electron scattering on this surface. The charge
interference patterns formed around single scattering impurities, imaged by
scanning tunneling microscopy, reveal the absence of direct backscattering
signal. We identify the allowed scattering vectors and analyze their bias
evolution in relation to the surface-state dispersion.Comment: 10 pages, 5 figure
Universal behavior of giant electroresistance in epitaxial La0.67Ca0.33MnO3 thin films
We report a giant resistance drop induced by dc electrical currents in
La0.67Ca0.33MnO3 epitaxial thin films. Resistance of the patterned thin films
decreases exponentially with increasing current and a maximum drop shows at the
temperature of resistance peak Tp. Variation of resistance with current
densities can be scaled below and above Tp, respectively. This work can be
useful for the future applications of electroresistance.Comment: 13 pages, 4 figure
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