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The scaled boundary finite element method (SBFEM) is a relatively recent boundary element method that allows the approximation of solutions to PDEs without the need of a fundamental solution. A theoretical framework for the convergence…

Numerical Analysis · Mathematics 2021-03-23 Fleurianne Bertrand , Daniele Boffi , Gonzalo G. de Diego

With microwave irradiation, the switching current of a Josephson junction coupled to a microscopic two-level system jumps randomly between two discrete states. We modeled the switching process of the coupled system with quantum jump…

Quantum Physics · Physics 2015-05-13 Xueda Wen , Yiwen Wang , Ning Dong , Guozhu Sun , Jian Chen , Lin Kang , Weiwei Xu , Peiheng Wu , Yang Yu

This paper proposes a novel low-rank approximation to the multivariate State-Space Model. The Stochastic Partial Differential Equation (SPDE) approach is applied component-wise to the independent-in-time Mat\'ern Gaussian innovation term in…

We develop a general theory of the relation between quantum phase transitions (QPTs) characterized by nonanalyticities in the energy and bipartite entanglement. We derive a functional relation between the matrix elements of two-particle…

Quantum Physics · Physics 2007-05-23 Lian-Ao Wu , Marcelo S. Sarandy , Daniel A. Lidar

Recent theoretical investigations of two-body hadronic B decays have provided justification for the use of the factorization ansatz to evaluate the B decay matrix elements. Motivated by this, we present simplified formulae for a wide range…

High Energy Physics - Phenomenology · Physics 2008-11-26 W. N. Cottingham , I. B. Whittingham , N. de Groot , F. Wilson

Starting from a phenomenologically successful, numerical solution of the Dyson-Schwinger equation that governs the quark propagator, we reconstruct in detail the interaction kernel that has to enter the instantaneous approximation to the…

High Energy Physics - Phenomenology · Physics 2016-05-06 Wolfgang Lucha , Franz F. Schöberl

This paper presents simulations of the state vector dynamics for a pair of atomic samples which are being probed by phase shift measurements on an optical beam passing through both samples. We show how measurements, which are sensitive to…

Quantum Physics · Physics 2016-09-08 Antonio Di Lisi , Klaus Moelmer

Although quantum entanglement is an important resource, its characterization is quite challenging. The partial transposition is a common method to detect bipartite entanglement. In this paper, the authors study the…

Quantum Physics · Physics 2024-05-01 Lin Zhang , Ming-Jing Zhao , Lin Chen , Hua Xiang , Yi Shen

We introduce a partial state fidelity approach to quantum phase transitions. We consider a superconducting lattice with a magnetic impurity inserted at its centre, and look at the fidelity between partial (either one-site or two-site)…

Quantum Physics · Physics 2009-11-13 N. Paunkovic , P. D. Sacramento , P. Nogueira , V. R. Vieira , V. K. Dugaev

Quantum phase transitions encompass a variety of phenomena that occur in quantum systems exhibiting several possible symmetries. Traditionally, these transitions are explored by continuously varying a control parameter that connects two…

Quantum Physics · Physics 2024-06-12 Á. Sáiz , J. Khalouf-Rivera , J. M. Arias , P. Pérez-Fernández , J. Casado-Pascual

The bound states of two particles are studied in frames of non-relativistic quantum field model with current $\times$ current type interaction by analyzing the Bethe-Salpeter amplitudes. The Bethe-Salpeter equations are obtained in closed…

High Energy Physics - Theory · Physics 2007-05-23 A. V. Sinitskaya , E. V. Pavlova

The transition states and dividing surfaces used to find rate constants for bimolecular reactions are shown to undergo qualitative changes, known as Morse bifurcations, and to exist for a large range of energies, not just immediately above…

Chemical Physics · Physics 2015-11-12 Robert S. MacKay , Dayal C. Strub

We apply the Matrix Element Method (MEM) to mass determination of squark pair production with direct decay to quarks and LSP at the LHC, showing that simultaneous mass determination of squarks and LSP is possible. We furthermore propose…

High Energy Physics - Phenomenology · Physics 2015-05-14 Johan Alwall , Ayres Freitas , Olivier Mattelaer

We study the properties of a two-body random matrix ensemble for distinguishable spins. We require the ensemble to be invariant under the group of local transformations and analyze a parametrization in terms of the group parameters and the…

Quantum Physics · Physics 2008-02-28 Iztok Pizorn , Tomaz Prosen , Stefan Mossmann , Thomas H. Seligman

In this paper, we introduce a new interpolation scheme to approximate the density of states (DOS) for a class of rank-structured matrices with application to the Tamm-Dancoff approximation (TDA) of the Bethe-Salpeter equation (BSE). The…

Numerical Analysis · Mathematics 2019-02-20 Peter Benner , Venera Khoromskaia , Boris N. Khoromskij , Chao Yang

In this paper we investigate the effects due to the mixing of two interpolating currents for ground state baryons within the framework of Heavy Quark Effective Theory using the QCD sum rule approach. Both two-point and three-point sum…

High Energy Physics - Phenomenology · Physics 2009-11-10 Dao-Wei Wang , Ming-Qiu Huang

$\pi^+\pi^-$ transitions of heavy quarkonia, especially the $ \Upsilon(3S)\to\Upsilon(1S)\pi^+\pi^-$ decay process, are revisited. In the framework of the Chiral Unitary Theory (ChUT), the $S$ wave $\pi\pi$ final state interaction (FSI) is…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. -K. Guo , P. -N. Shen , H. -C. Chiang , R. -G. Ping

Matrix elements of flavor-diagonal light quark pseudoscalar densities and axial anomaly operators between vacuum and {\eta} and {\eta}' meson states have been determined. This has been done by evaluating current-current correlators of…

High Energy Physics - Phenomenology · Physics 2013-11-01 Janardan Prasad Singh

Recent experimental measurements and lattice QCD calculations are now reaching the precision (and accuracy) needed to over-constrain the CKM parameters $\bar\rho$ and $\bar\eta$. In this brief review, I discuss the current status of lattice…

High Energy Physics - Phenomenology · Physics 2009-11-11 Matthew Wingate

We describe a purely algebraic method for finding the best separable approximation to a mixed state of a composite 2x2 quantum system, consisting of a decomposition of the state into a linear combination of a mixed separable part and a pure…

Quantum Physics · Physics 2009-11-07 Thomas Wellens , Marek Kus