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We formulate a Lattice Hamiltonian approach for the modeling of intermediate energy heavy ion collisions. After verifying stationary ground state solutions, we implement this in a calculation of nuclear stopping power and compare our…

Nuclear Theory · Physics 2009-10-31 Declan Persram , Charles Gale

The Bott index is an index that discerns among pairs of unitary matrices that can or cannot be approximated by a pair of commuting unitary matrices. It has been successfully employed to describe the approximate integer quantization of the…

Mesoscale and Nanoscale Physics · Physics 2019-01-08 Daniele Toniolo

We compare the response of five different models of two interacting electrons in a quantum dot to an external short lived radial excitation that is strong enough to excite the system well beyond the linear response regime. The models…

We study a bipartite Kronig-Penney model with negative Dirac-delta potentials that may be used, amongst other models, to interpret plasmon propagation in nanoparticle arrays. Such a system can be mapped into a Su-Schrieffer-Heeger-like…

Mesoscale and Nanoscale Physics · Physics 2020-10-15 Thomas Benjamin Smith , Alessandro Principi

We introduce a one-dimensional (1D) spatially inhomogeneous Bose-Hubbard model (BHM) with the strength of the onsite repulsive interactions growing, with the discrete coordinate $z_{j}$, as $|z_{j}|^{\alpha }$ with $\alpha >0$. Recently,…

Quantum Gases · Physics 2015-01-16 L. Barbiero , B. A. Malomed , L. Salasnich

We perform two-pion Hanbury Brown-Twiss (HBT) interferometry for the partially coherent pion-emitting sources in relativistic heavy-ion collisions, using a multi-phase transport (AMPT) model. A longitudinal coherent emission length, as well…

Nuclear Theory · Physics 2024-02-02 Shi-Yao Wang , Jun-Ting Ye , Wei-Ning Zhang

We study Hamiltonian systems with point interactions and give a systematic description of the corresponding boundary conditions and the spectrum properties for self-adjoint, PT-symmetric systems and systems with real spectra. The…

Quantum Physics · Physics 2009-11-10 Shao-Ming Fei

The Boltzmann equation is a powerful theoretical tool for modeling the collective dynamics of quantum many-body systems subject to external perturbations. Analysis of the equation gives access to linear response properties including…

A Bose-Hubbard Hamiltonian, modeling cold bosons in an optical lattice, is used to simulate the dynamics of interacting open quantum systems as subsystems a larger closed system, avoiding complications like the introduction of baths,…

Quantum Gases · Physics 2013-05-24 K. Rapedius

The so-called equation of motion method is useful to obtain the explicit form of the eigenvectors and eigenvalues of certain non self-adjoint bosonic Hamiltonians with real eigenvalues. These operators can be diagonalized when they are…

Quantum Physics · Physics 2015-09-03 Natalia Bebiano , Joao da Providencia , Joao P. da Providencia

We study many-body localization in a one dimensional optical lattice filled with bosons. The interaction between bosons is assumed to be random, which can be realized for atoms close to a microchip exposed to a spatially fluctuating…

Quantum Gases · Physics 2017-12-21 Piotr Sierant , Dominique Delande , Jakub Zakrzewski

The achievement of sustained nuclear fusion in magnetically confined plasma relies on efficient confinement of high-energy ions produced by the fusion reaction. Such particles can excite Alfven Eigenmodes (AEs), which significantly degrade…

Plasma Physics · Physics 2015-03-18 Maxime Lesur

We present the current status of hybrid approaches to describe heavy ion collisions and their future challenges and perspectives. First we present a hybrid model combining a Boltzmann transport model of hadronic degrees of freedom in the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Marlene Nahrgang , Christoph Herold , Stefan Schramm , Marcus Bleicher

A paradigm model of modern atom optics is studied, strongly interacting ultracold bosons in an optical lattice. This many-body system can be artificially opened in a controlled manner by modern experimental techniques. We present results…

Pattern Formation and Solitons · Physics 2013-10-23 S. Wimberger , C. A. Parra-Murillo , G. Kordas

Topological solitons are relevant in several areas of physics [1]. Recently, these configurations have been investigated in contexts as diverse as hydrodynamics [2], Bose-Einstein condensates [3], ferromagnetism [4], knotted light [5] and…

Mathematical Physics · Physics 2016-10-12 Miguel Bezares , Érico Goulart , Gonzalo Palomera , Daniel J. Pons , Enrique G. Reyes

We investigate a typical aerofoil section under dynamic stall conditions, the structural model is linear and the aerodynamic loading is represented by the Leishman-Beddoes semi-empirical dynamic stall model. The loads given by this model…

Fluid Dynamics · Physics 2013-05-28 Luca Magri , Ugo Galvanetto

We present a strong-coupling expansion of the Bose-Hubbard model which describes both the superfluid and the Mott phases of ultracold bosonic atoms in an optical lattice. By performing two successive Hubbard-Stratonovich transformations of…

Strongly Correlated Electrons · Physics 2007-05-23 K. Sengupta , N. Dupuis

Quantum dynamics of the Bose-Hubbard Model is investigated through a semiclassical hamiltonian picture provided by the Time-Dependent Variational Principle method. The system is studied within a factorized slow/fast dynamics. The…

Superconductivity · Physics 2009-10-31 L. Amico , V. Penna

We consider a Hamiltonian with cutoffs describing the weak decay of spin one massive bosons into the full family of leptons. The Hamiltonian is a self-adjoint operator in an appropriate Fock space with a unique ground state. We prove a…

Mathematical Physics · Physics 2009-12-17 J. -M. Barbaroux , J. -C. Guillot

We study the asymmetric Hubbard model at half-filling as a generic model to describe the physics of two species of repulsively interacting fermionic cold atoms in optical lattices. We use Dynamical Mean Field Theory to obtain the…

Strongly Correlated Electrons · Physics 2012-01-11 E. A. Winograd , R. Chitra , M. J. Rozenberg