1,721,129 research outputs found
Exact formulas for the form factors of local operators in the Lieb-Liniger model
No full textWe present exact formulas for the form factors of local operators in the repulsive Lieb-Liniger model at finite size. These are essential ingredients for both numerical and analytical calculations. From the theory of algebraic Bethe ansatz, it is known that the form factors of local operators satisfy a particular type of recursive relations. We show that in some cases these relations can be used directly to derive practical expressions in terms of the determinant of a matrix whose dimension scales linearly with the system size. Our main results are determinant formulas for the form factors of the operators (Psi(dagger)(0))(2)Psi(dagger)(0) and Psi(R)(0), for arbitrary integer R, where Psi, Psi(dagger) are the usual field operators. From these expressions, we also derive the infinite size limit of the form factors of these local operators in the attractive regime
Supplemental material for Factors associated with time from first-symptoms to diagnosis and treatment initiation of Multiple Sclerosis in Switzerland
No full textSupplemental Material for Factors associated with time from first-symptoms to diagnosis and treatment initiation of Multiple Sclerosis in Switzerland by Marco Kaufmann, Jens Kuhle, Milo A Puhan, Christian P Kamm, Andrew Chan, Anke Salmen, Jürg Kesselring, Pasquale Calabrese, Claudio Gobbi, Caroline Pot, Nina Steinemann, Rodgers Stephanie Viktor von Wyl and for the Swiss Multiple Sclerosis Registry (SMSR) in Multiple Sclerosis Journal—Experimental, Translational and Clinical</p
sj-docx-2-msj-10.1177_13524585231198760 – Supplemental material for Optical coherence tomography versus other biomarkers: Associations with physical and cognitive disability in multiple sclerosis
No full textSupplemental material, sj-docx-2-msj-10.1177_13524585231198760 for Optical coherence tomography versus other biomarkers: Associations with physical and cognitive disability in multiple sclerosis by Nuria Cerdá-Fuertes, Marc Stoessel, Gintaras Mickeliunas, Silvan Pless, Alessandro Cagol, Muhamed Barakovic, Aleksandra Maleska Maceski, Cesar Álvarez González, Marcus D’ Souza, Sabine Schaedlin, Pascal Benkert, Pasquale Calabrese, Konstantin Gugleta, Tobias Derfuss, Till Sprenger, Cristina Granziera, Yvonne Naegelin, Ludwig Kappos, Jens Kuhle and Athina Papadopoulou in Multiple Sclerosis Journal</p
sj-docx-1-msj-10.1177_13524585231198760 – Supplemental material for Optical coherence tomography versus other biomarkers: Associations with physical and cognitive disability in multiple sclerosis
No full textSupplemental material, sj-docx-1-msj-10.1177_13524585231198760 for Optical coherence tomography versus other biomarkers: Associations with physical and cognitive disability in multiple sclerosis by Nuria Cerdá-Fuertes, Marc Stoessel, Gintaras Mickeliunas, Silvan Pless, Alessandro Cagol, Muhamed Barakovic, Aleksandra Maleska Maceski, Cesar Álvarez González, Marcus D’ Souza, Sabine Schaedlin, Pascal Benkert, Pasquale Calabrese, Konstantin Gugleta, Tobias Derfuss, Till Sprenger, Cristina Granziera, Yvonne Naegelin, Ludwig Kappos, Jens Kuhle and Athina Papadopoulou in Multiple Sclerosis Journal</p
MSJ823955_supplemental_material – Supplemental material for How do patients enter the healthcare system after the first onset of multiple sclerosis symptoms? The influence of setting and physician specialty on speed of diagnosis
No full textSupplemental material, MSJ823955_supplemental_material for How do patients enter the healthcare system after the first onset of multiple sclerosis symptoms? The influence of setting and physician specialty on speed of diagnosis by Laura Barin, Christian P Kamm, Anke Salmen, Holger Dressel, Pasquale Calabrese, Caroline Pot, Sven Schippling, Claudio Gobbi, Stefanie Müller, Andrew Chan, Stephanie Rodgers, Marco Kaufmann, Vladeta Ajdacic-Gross, Nina Steinemann, Jürg Kesselring, Milo A Puhan and Viktor von Wyl in Multiple Sclerosis Journal</p
Recursive formulas for the overlaps between Bethe states and product states in XXZ Heisenberg chains
No full textWe consider the problem of computing the overlaps between the Bethe states of the XXZ spin-1/2 chain and generic states. We derive recursive formulas for the overlaps between some simple product states and off-shell Bethe states within the framework of the algebraic Bethe ansatz. These recursive formulas can be used to prove in a simple and straightforward way the recently obtained results for the overlaps of the Bethe states with the Neel state, the dimer state, and the q-deformed dimer state. However, these recursive formulas are derived for a broader class of states and represent a concrete starting point for the computation of rather general overlaps. Our approach can be easily extended to other one-dimensional Bethe ansatz integrable models
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Exact dynamics following an interaction quench in a one-dimensional anyonic gas
No full textWe study the nonequilibrium quench dynamics of a one-dimensional anyonic
gas. We focus on the integrable anyonic Lieb-Liniger model and consider
the quench from noninteracting to hard-core anyons. We study the
dynamics of the local properties of the system. Bymeans of
integrability-based methods, we compute analytically the one-body
density matrix and the density-density correlation function at all times
after the quench and in particular at infinite time. Our results show
that the system evolves from an initial state where the local momentum
distribution function is nonsymmetric to a steady state where it becomes
symmetric. Furthermore, while the initial momentum distribution
functions (and the equilibrium ones) explicitly depend on the anyonic
parameter, the final ones do not. This is reminiscent of the dynamical
fermionization observed in the context of free expansions after release
from a confining trap
Local correlations in the attractive one-dimensional Bose gas: From Bethe ansatz to the Gross-Pitaevskii equation
No full textWe consider the ground-state properties of an extended one-dimensional Bose gas with pointwise attractive interactions. We take the limit where the interaction strength goes to zero as the system size increases at fixed particle density. In this limit the gas exhibits a quantum phase transition. We compute local correlation functions at zero temperature, both at finite and infinite size. We provide analytic formulas for the experimentally relevant one-point functions g2, g3 and analyze their finite-size corrections. Our results are compared to the mean-field approach based on the Gross-Pitaevskii equation which yields the exact results in the infinite system size limit, but not for finite systems
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