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In a disordered system, a quantity is self-averaging when the ratio between its variance for disorder realizations and the square of its mean decreases as the system size increases. Here, we consider a chaotic disordered many-body quantum…

The wave function of an atom passed through a diffraction grating acquires a regular space structure and the interaction of another particle with this atom can be thought of as scattering on a 'quantum grating' composed of a single atom.…

Quantum Physics · Physics 2020-02-24 S. F. Zhang , B. Najjari , X. Ma , A. B. Voitkiv

We describe the quantum mechanical scattering of slowly moving maximally charged black holes. Our technique is to develop a canonical quantization procedure on the parameter space of possible static classical solutions. With this, we…

High Energy Physics - Theory · Physics 2011-04-20 Jennie Traschen , Robert Ferrel

Mean field approximation treats only coherent aspects of the evolution of a Bose Einstein condensate. However, in many experiments some atoms scatter out of the condensate. We study an analytic model of two counter-propagating atomic…

Other Condensed Matter · Physics 2009-11-10 P. Zin , J. Chwedenczuk , A. Perez , K. Rzazewski , M. Trippenbach

The possibility that disorder may stabilize a superfluid phase of para-hydrogen in two dimensions is investigated theoretically by means of Quantum Monte Carlo simulations. We model disorder using a random distribution of scatterers, and…

Other Condensed Matter · Physics 2008-10-15 Joseph Turnbull , Massimo Boninsegni

In this work, we study the scattering of a spinless charged particle constrained to move on a curved surface in the presence of the Aharonov-Bohm potential. We begin with the equations of motion for the surface and transverse dynamics…

Viewing gravitational energy-momentum as equal by observation, but different in essence from inertial energy-momentum naturally leads to the gauge theory of volume-preserving diffeormorphisms of a four-dimensional in- ner space. To analyse…

Mathematical Physics · Physics 2014-08-05 Christian Wiesendanger

At lower energies, the resonances in scattering experiments are often isolated. The crucial parameter is the ratio of average resonance width and average mean level spacing. Towards larger energies, this parameter grows, because the…

Statistical Mechanics · Physics 2025-03-31 Simon Köhnes , Jiongning Che , Barbara Dietz , Thomas Guhr

We describe a smooth transition from (fully ordered) photonic crystal to (fully disordered) photonic glass that enables us to make an accurate measurement of the scattering mean free path in nanostructured media and, in turn, establishes…

Optics · Physics 2008-12-01 P. D. García , R. Sapienza , Luis S. Froufe-Pérez , C. López

We consider scattering processes where a quantum system is comprised of an inner subsystem and of a boundary, and is subject to Haar-averaged random unitaries acting on the boundary-environment Hilbert space only. We show that, regardless…

Quantum Physics · Physics 2023-08-30 Michele Avalle , Alessio Serafini

In this work, the effect of fluctuations in a disordered square lattice on diffusion of a test particle is studied using kinetic Monte Carlo simulations. Diffusion is relevant to a wide variety of problems, both within physics and outside…

Statistical Mechanics · Physics 2016-04-15 Robbert-Jan Dikken , Casper D. Versteylen

Neutrino-nucleus scattering $\nu A\to \nu A$, in which the nucleus conserves its integrity, is considered. We show that elastic interactions keeping the nucleus in the same quantum state lead to a quadratic enhancement of the corresponding…

High Energy Physics - Phenomenology · Physics 2018-09-26 Vadim A. Bednyakov , Dmitry V. Naumov

The spatial formation of coherent random laser modes in strongly scattering disordered random media is a central feature in the understanding of the physics of random lasers. We derive a quantum field theoretical method for random lasing in…

Disordered Systems and Neural Networks · Physics 2020-01-22 Andreas Lubatsch , Regine Frank

Typically one expects that when a heavy particle collides with a surface, the scattered angular distribution will follow classical mechanics. The heavy mass assures that the de Broglie wavelength of the incident particle in the direction of…

Chemical Physics · Physics 2015-05-19 Jeremy M. Moix , Eli Pollak

A non-unitary version of quantum scattering is studied via an exactly solvable toy model. The model is merely asymptotically local since the smooth path of the coordinate is admitted complex in the non-asymptotic domain. At any real…

Mathematical Physics · Physics 2012-05-21 Miloslav Znojil

We study scattering theory for a quantum-mechanical system consisting of a particle scattered off a dynamical target that occupies a compact region in position space. After taking a trace over the degrees of freedom of the target, the…

Mathematical Physics · Physics 2016-09-21 Marco Falconi , Jérémy Faupin , Jürg Fröhlich , Baptiste Schubnel

We present a theoretical formalism for scattering of the twisted neutrons by nuclei in a kinematic regime where interference between Coulomb interaction and the strong interaction is essential. Twisted neutrons have definite quantized…

Nuclear Theory · Physics 2021-05-26 A. V. Afanasev , D. V. Karlovets , V. G. Serbo

We consider the quantum first detection problem for a particle evolving on a graph under repeated projective measurements with fixed rate $1/\tau$. A general formula for the mean first detected transition time is obtained for a quantum walk…

Statistical Mechanics · Physics 2020-07-29 Q. Liu , R. Yin , K. Ziegler , E. Barkai

The effects of quenched disorder on a single and many active run-and-tumble particles is studied in one dimension. For a single particle, we consider both the steady-state distribution and the particle's dynamics subject to disorder in…

Statistical Mechanics · Physics 2019-11-27 Ydan Ben Dor , Eric Woillez , Yariv Kafri , Mehran Kardar , Alexandre P Solon

When a quantum particle is launched with a finite velocity in a disordered potential, it may surprisingly come back to its initial position at long times and remain there forever. This phenomenon, dubbed ``quantum boomerang effect'', was…

Disordered Systems and Neural Networks · Physics 2020-07-15 Jakub Janarek , Dominique Delande , Nicolas Cherroret , Jakub Zakrzewski