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We study the non-linear dynamics of quantum fields in matter and radiation dominated universes, using the non-equilibrium field theory approach combined with the non-perturbative Hartree and the large N approximations. We examine the…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Boyanovsky , D. Cormier , H. J. de Vega , R. Holman , A. Singh , M. Srednicki

The scattering of free particles constrained to move on a cylindrically symmetric curved surface is studied. The nontrivial geometry of the space contributes to the scattering cross section through the kinetic as well as a possible scalar…

High Energy Physics - Theory · Physics 2009-10-30 Ali Mostafazadeh

We study the diffusion equation in two-dimensional quantum gravity, and show that the spectral dimension is two despite the fact that the intrinsic Hausdorff dimension of the ensemble of two-dimensional geometries is very different from…

High Energy Physics - Lattice · Physics 2009-10-31 J. Ambjorn , K. N. Anagnostopoulos , T. Ichihara , L. Jensen , Y. Watabiki

We study a two-level quantum system embedded in a dispersive environment and coupled with the electromagnetic field. We expand the theory of light-matter interactions to include the spatial extension of the system, taken into account…

Mesoscale and Nanoscale Physics · Physics 2021-01-08 Giovanni Scala , Francesco V. Pepe , Paolo Facchi , Saverio Pascazio , Karolina Słowik

We investigate a simple toy model of particle scattering in the flat spacetime limit of an analogue-gravity model. The analogue-gravity medium is treated as a scalar field of phonons that obeys the Klein-Gordon equation and thus admits a…

General Relativity and Quantum Cosmology · Physics 2022-02-14 Scott L. Todd , Giacomo Pantaleoni , Valentina Baccetti , Nicolas C. Menicucci

The quantum diffusion of a vortex in a two-component quantum fluid of light is investigated. In these systems, the Kerr nonlinearity promotes interactions between the photons, displaying features that are analogue of a Bose-Einstein…

Quantum Gases · Physics 2023-12-12 M. Roldão , J. L. Figueiredo , P. Monteiro , J. T. Mendonça , H. Terças

Based on the Hamiltonian formalism approach, a generalized L\"uscher's formula for two particle scattering in both the elastic and coupled-channel cases in moving frames is derived from a relativistic Lippmann-Schwinger equation. Some…

High Energy Physics - Lattice · Physics 2013-08-09 Peng Guo , Jozef Dudek , Robert Edwards , Adam P. Szczepaniak

We investigate the motion of uncharged particles scattered by a binary system consisting of extremely charged black holes in equilibrium as described by the Majumdar-Papapetrou solution. We focus on unbound orbits confined to the plane…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Donato Bini , Andrea Geralico , Gabriele Gionti , Wolfango Plastino , Nelson Velandia

Scattering from a non-smooth random field on the time domain is studied for plane waves that propagate simultaneously through the potential in variable angles. We first derive sufficient conditions for stochastic moments of the field to be…

Analysis of PDEs · Mathematics 2018-12-26 Pedro Caro , Tapio Helin , Antti Kujanpää , Matti Lassas

We have studied anomalous diffusion of a particle in a random medium in which the passage of the particle may modify the state of the visited sites. The simplicity of the dynamics allows analytic solution. Interesting propagation and…

Statistical Mechanics · Physics 2007-05-23 L. L. Chu , K. W. Yu

We discuss the quantum-mechanical scattering of a massless scalar field on a $\delta$-potential in a ghost-free theory and obtain analytic solutions for the scattering coefficients. Due to the non-locality of the ghost-free theory the…

High Energy Physics - Theory · Physics 2018-06-26 Jens Boos , Valeri P. Frolov , Andrei Zelnikov

We describe diffractive deeply inelastic scattering in terms of diffractive parton distributions. We investigate these distributions in a hamiltonian formulation that emphasizes the spacetime picture of diffraction scattering. For hadronic…

High Energy Physics - Phenomenology · Physics 2009-10-31 F. Hautmann , Z. Kunszt , D. E. Soper

By a semi-analytical Bethe ansatz method and a T-matrix approach we study the scattering of a spinon, the elementary quantum many-body topological excitation in the 1D Heisenberg model, by local and phonon potentials. In particular, we…

Statistical Mechanics · Physics 2019-11-05 A. Pavlis , X. Zotos

One-dimensional scattering mediated by non-Hermitian Hamiltonians is studied. A schematic set of models is used which simulate two point interactions at a variable strength and distance. The feasibility of the exact construction of the…

Quantum Physics · Physics 2008-06-26 Miloslav Znojil

We investigate the scattering of a massless scalar field by a Kerr-Newman black hole, considering the case of on-axis incidence. We use the partial wave method to find numerical results for the scattering cross section, which we compare…

General Relativity and Quantum Cosmology · Physics 2019-07-11 Luiz C. S. Leite , Carolina L. Benone , Luís C. B. Crispino

Level and wavefunction statistics have been studied for two dimensional clusters of the square lattice in the presence of random magnetic fluxes. Fluxes traversing lattice plaquettes are distributed uniformly between - (1/2) Phi_0 and (1/2)…

Condensed Matter · Physics 2009-10-28 J. A. Verges

Quite a few low-dimensional magnets are quantum-disordered ``spin liquids'' with a characteristic gap in the magnetic excitation spectrum. Among these are antiferromagnetic chains of integer quantum spins. Their generic feature are…

Strongly Correlated Electrons · Physics 2009-11-11 A. Zheludev

We develop a new computational tool and framework for characterizing the scattering of photons by energy-nonconserving Hamiltonians into unidirectional (chiral) waveguides, for example, with coherent pulsed excitation. The temporal…

Quantum Physics · Physics 2018-05-30 Kevin A. Fischer , Rahul Trivedi , Vinay Ramasesh , Irfan Siddiqi , Jelena Vučković

A general problem of $2\rightarrow N_f$ scattering is addressed with all the states being wave packets with arbitrary phases. Depending on these phases, one deals with coherent states in $(3+1)$ D, vortex particles with orbital angular…

High Energy Physics - Phenomenology · Physics 2017-03-13 Dmitry Karlovets

We analyze the scattering rate for 2D fermions interacting via soft nematic fluctuations. The ground state is an s-wave superconductor, but other pairing channels are almost equally attractive. This strongly alters the scattering rate: At…

Superconductivity · Physics 2022-01-10 Dimitri Pimenov , Alex Kamenev , Andrey V. Chubukov
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