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We consider two models for a pair of interacting particles in a random potential: (i) two particles with a Hubbard interaction in arbitrary dimensions and (ii) a strongly bound pair in one dimension. Establishing suitable correpondences we…

Disordered Systems and Neural Networks · Physics 2009-10-30 Klaus Frahm , Axel Mueller-Groeling , Jean-Louis Pichard

Focusing on the efficient probe and manipulation of single-particle spin states, we investigate the coupled spin and orbital dynamics of a spin 1/2 particle in a harmonic potential subject to ultrastrong spin-orbit interaction and external…

Mesoscale and Nanoscale Physics · Physics 2014-01-21 C. Echeverria-Arrondo , E. Ya. Sherman

We consider a system realized with one spinless quantum particle and an array of $N$ spins 1/2 in dimension one and three. We characterize all the Hamiltonians obtained as point perturbations of an assigned free dynamics in terms of some…

Mathematical Physics · Physics 2007-05-23 Claudio Cacciapuoti , Raffaele Carlone , Rodolfo Figari

This paper investigates the scattering states of spin-1/2 particles in the spacetime of a spinning cosmic string with spacelike disclination and dislocation, with and without a Coulomb interaction. Working within the tetrad formalism, we…

High Energy Physics - Theory · Physics 2026-02-25 Abdelmalek Boumali

We study systems of active particles, whose perception is constrained by a vision cone, that are attracted to other particles and repelled from static obstacles. We report a novel self-trapping mechanism: active particles with…

Statistical Mechanics · Physics 2024-11-08 Rodrigo Saavedra , Fernando Peruani

We demonstrate that scattering of particles strongly interacting in three dimensions (3D) can be suppressed at low energies in a quasi-one-dimensional (1D) confinement. The underlying mechanism is the interference of the s- and p-wave…

Quantum Physics · Physics 2009-11-13 J. I. Kim , V. S. Melezhik , P. Schmelcher

We analyze the cosmology of the Randall-Sundrum model and that of compact brane models in general in the presence of a radius stabilization mechanism. We find that the expansion of our universe is generically in agreement with the expected…

High Energy Physics - Phenomenology · Physics 2009-09-15 Csaba Csaki , Michael Graesser , Lisa Randall , John Terning

Investigations of spin squeezing in ensembles of quantum particles have been limited primarily to a subspace of spin fluctuations and a single spatial mode in high-spin and spatially extended ensembles. Here, we show that a wider range of…

Quantum Gases · Physics 2015-05-18 Jay D. Sau , S. R. Leslie , Marvin L. Cohen , D. M. Stamper-Kurn

We investigate how the competing presence of a nonuniform motility landscape and an external confining field affects the properties of active particles. We employ the active Ornstein-Uhlenbeck particle (AOUP) model with a periodic swim…

Statistical Mechanics · Physics 2022-03-02 Lorenzo Caprini , Umberto Marini Bettolo Marconi , René Wittmann , Hartmut Löwen

We construct a nonrelativistic wave equation for spinning particles in the noncommutative space (in a sense, a $\theta$-modification of the Pauli equation). To this end, we consider the nonrelativistic limit of the $\theta$-modified Dirac…

High Energy Physics - Theory · Physics 2010-12-16 T. C. Adorno , M. C. Baldiotti , D. M. Gitman

We investigate a system of equally charged Coulomb-interacting particles confined to a toroidal helix in the presence of an external electric field. Due to the confinement, the particles experience an effective interaction that oscillates…

Classical Physics · Physics 2020-08-05 Ansgar Siemens , Peter Schmelcher

The two ways of constrained systems quantization are considered from the point of view of their self-consistency at the quantum level. With a transparent example of a particle in the external electromagnetic field we demonstrate that the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yu. S. Kalashnikova , A. V. Nefediev

In this paper we revisit the gravitational eikonal amplitudes of two scattering spinning particles and inspect their scrambling power in the spin spaces that is quantified through the tripartite information. We found that in the…

High Energy Physics - Theory · Physics 2023-03-07 Ling-Yan Hung , Kaixin Ji , Tianheng Wang

Confined active particles constitute simple, yet realistic, examples of systems that converge into a non-equilibrium steady state. We investigate a run-and-tumble particle in one spatial dimension, trapped by an external potential, with a…

Statistical Mechanics · Physics 2024-04-09 Oded Farago , Naftali R. Smith

The transport of active particles may occur in complex environments, in which it emerges from the interplay between the mobility of the active components and the quenched disorder of the environment. Here we explore structural and dynamical…

Soft Condensed Matter · Physics 2023-03-31 Fergus J. Moore , John Russo Tanniemola B. Liverpool , C. Patrick Royall

We study the classical geodesic motions of nonzero rest mass test particles and photons in (3+1+n)- dimensional warped product spaces. An important feature of these spaces is that they allow a natural decoupling between the motions in the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Fabio Dahia , Carlos Romero , Lucio F. P. Silva , Reza Tavakol

We calculate the spatial entanglement between two electrons trapped in a nanostructure for a broad class of confinement potentials, including single and double quantum dots, and core-shell quantum dot structures. By using a parametrized…

Quantum Physics · Physics 2015-05-13 S. Abdullah , J. P. Coe , I. D'Amico

We construct a nonrelativistic wave equation for spinning particles in the noncommutative space (in a sense, a $\theta$-modification of the Pauli equation). To this end, we consider the nonrelativistic limit of the $\theta$-modified Dirac…

High Energy Physics - Theory · Physics 2013-05-29 T. C. Adorno , M. C. Baldiotti , D. M. Gitman

We propose the action for a massive $N$-extended superparticle with a pure (half)integer superspin $Y,~Y = 0, 1/2, 1, 3/2, \ldots$. Regardless of the superspin value, the configuration space is ${\Bbb R}^{4|4N} \times S^2$, where $S^2$…

High Energy Physics - Theory · Physics 2008-11-26 S. M. Kuzenko , S. L. Lyakhovich , A. Yu. Segal

We analyze a simple macroscopic model describing the evolution of a cloud of particles confined in a magneto-optical trap. The behavior of the particles is mainly driven by self--consistent attractive forces. In contrast to the standard…

Analysis of PDEs · Mathematics 2016-10-06 Julien Barré , Dan Crisan , Thierry Goudon
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