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By using the recent mathematical tools developed in quaternionic differential operator theory, we solve the Schroedinger equation in presence of a quaternionic step potential. The analytic solution for the stationary states allows to…

Mathematical Physics · Physics 2015-06-26 Stefano De Leo , Gisele C. Ducati , Tiago M. Madureira

Dynamical decoupling can be used to preserve arbitrary quantum states despite undesired interactions with the environment, using control Hamiltonians affecting the system only. We present a system-independent analysis of dynamical…

Quantum Physics · Physics 2009-11-13 Kaveh Khodjasteh , Daniel A. Lidar

The Qprop package is presented. Qprop has been developed to study laser-atom interaction in the nonperturbative regime where nonlinear phenomena such as above-threshold ionization, high order harmonic generation, and dynamic stabilization…

Atomic Physics · Physics 2009-11-11 D. Bauer , P. Koval

We introduce reinforcement learning (RL) formulations of the problem of finding the ground state of a many-body quantum mechanical model defined on a lattice. We show that stoquastic Hamiltonians - those without a sign problem - have a…

Quantum Physics · Physics 2021-04-13 Willem Gispen , Austen Lamacraft

We review various inequalities on the order and the spacing of energy levels, wave function at the origin, etc... which were obtained since 1977 in the framework of the Schrodinger equation and applied to quarkonium and also to muonic atoms…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andre Martin

In these proceedings, an overview of recent quarkonium measurements in nuclear collisions carried out at both RHIC and LHC is presented. In p+p collisions, despite theoretical progresses made in understanding the production mechanisms for…

Nuclear Experiment · Physics 2019-02-20 Rongrong Ma

The Schroedinger equation is solved for an A-nucleon system using an expansion of the wave function in nonsymmetrized hyperspherical harmonics. Our approach is both an extension and a modification of the formalism developed by Gattobigio et…

Nuclear Theory · Physics 2015-06-12 Sergio Deflorian , Nir Barnea , Winfried Leidemann , Giuseppina Orlandini

We simulate a finite system of $N$ confined electrons with inclusion of the Darwin magnetic interaction in two- and three-dimensions. The lowest energy states are located using the steepest descent quenching adapted for velocity dependent…

Statistical Mechanics · Physics 2009-10-31 Vishal Mehra , Jayme De Luca

The investigation of the nonequilibrium quantum dynamics of bosonic many-body systems is very challenging due to the excessively growing Hilbert space and poses a major problem for their theoretical description and simulation. We present a…

Quantum Gases · Physics 2019-08-07 F. Köhler , K. Keiler , S. I. Mistakidis , H. -D. Meyer , P. Schmelcher

A microscopic configuration-interaction (CI) methodology is introduced to enable bottom-up Schroedinger-equation emulation of unconventional superconductivity in ultracold optical traps. We illustrate the method by exploring the properties…

Quantum Gases · Physics 2017-05-24 Benedikt B. Brandt , Constantine Yannouleas , Uzi Landman

We present a model to explain the bottomonium suppression in Pb+Pb collisions at mid rapidity obtained from Large Hadron Collider (LHC) energy, $\sqrt{s_{NN}}=2.76$ TeV. The model consists of two decoupled mechanisms namely, color screening…

High Energy Physics - Phenomenology · Physics 2015-06-17 S. Ganesh , Madhukar Mishra

We investigate the possibility to control dynamically the interactions between repulsively bound pairs of fermions (doublons) in correlated systems with off-resonant ac fields. We introduce an effective Hamiltonian that describes the…

Strongly Correlated Electrons · Physics 2020-12-08 V. N. Valmispild , C. Dutreix , M. Eckstein , M. I. Katsnelson , A. I. Lichtenstein , E. A. Stepanov

We evaluate the energy levels of the deuteronium bound system, which consists of a deuteron and an antideuteron, with a special emphasis on states with nonvanishing orbital angular momenta. The excited atomic bound states of deuteronium…

High Energy Physics - Phenomenology · Physics 2025-12-18 G. S. Adkins , U. D. Jentschura

We study a discrete nonlinear Schr\"odinger lattice with a parabolic trapping potential. The model, describing, e.g., an array of repulsive Bose-Einstein condensate droplets confined in the wells of an optical lattice, is analytically and…

A Quantum Natural Gradient (QNG) algorithm for optimization of variational quantum circuits has been proposed recently. In this study, we employ the Langevin equation with a QNG stochastic force to demonstrate that its discrete-time…

Multiple initial state parton interactions in p(d)+Au collisions are calculated in a Glauber-Eikonal formalism. The convolution of perturbative QCD parton-nucleon cross sections predicts naturally the competing pattern of low-pT suppression…

Nuclear Theory · Physics 2009-10-09 Alberto Accardi , Miklos Gyulassy

A new version for the relativistic generalization of the wide class of static quark--antiquark confining potentials is suggested. The comparison of this approach with other ones, known in literature, is considered. With the use of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Teimuraz Kopaleishvili , Akaki Rusetsky

Dynamical 2+1 flavor lattice QCD is used to calculate the masses of bottom hadrons, including B mesons, singly and doubly bottom baryons, and for the first time also the triply-bottom baryon Omega_bbb. The domain wall action is used for the…

High Energy Physics - Lattice · Physics 2010-08-18 Stefan Meinel , William Detmold , C. -J. David Lin , Matthew Wingate

In large-scale, data-driven applications, parameters are often only known approximately due to noise and limited data samples. In this paper, we focus on high-dimensional optimization problems with linear constraints under uncertain…

Optimization and Control · Mathematics 2024-03-01 Naqi Huang , Nestor Parolya , Theresia van Essen

Heavy quarkonium hybrids are studied in an effective field theory framework. Coupled and uncoupled Schr\"odinger equations are obtained for different quantum numbers of the hybrid states. The results are discussed and compared to other…

High Energy Physics - Phenomenology · Physics 2016-11-03 Matthias Berwein
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