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Using the exact $N$-particle ground state wave function for a one-dimensional gas of hard-core bosons in a harmonic trap we develop an algorithm to compute the reduced single-particle density matrix and corresponding momentum distribution.…

Quantum Gases · Physics 2013-03-25 G. J. Lapeyre, , M. D. Girardeau , E. M. Wright

For a harmonically trapped system consisting of two bosons in one spatial dimension with infinite contact repulsion (hard core bosons), we derive an expression for the one-body density matrix $\rho_B$ in terms of centre of mass and relative…

Atomic Physics · Physics 2021-04-15 K. Bencheikh , L. M. Nieto , L. U. Ancarani

We calculate the spatial correlation function and momentum distribution of a phase-fluctuating, elongated three-dimensional condensate, in a trap and in free expansion. We take the inhomogeneous density profile into account {\it{via}} a…

Condensed Matter · Physics 2009-11-07 F. Gerbier , J. H. Thywissen , S. Richard , M. Hugbart , P. Bouyer , A. Aspect

When it comes to active particles, even an ideal-gas model in a harmonic potential poses a mathematical challenge. An exception is a run-and-tumble model (RTP) in one-dimension for which a stationary distribution is known exactly. The case…

Statistical Mechanics · Physics 2023-09-25 Derek Frydel

We develop two methods to calculate the momentum distribution of the insulating (Mott and charge-density-wave) phases of the extended Bose-Hubbard model with on-site and nearest-neighbor boson-boson repulsions on $d$-dimensional hypercubic…

Strongly Correlated Electrons · Physics 2015-05-13 M. Iskin , J. K. Freericks

We study the quenched dynamics of the momentum distribution of a unitary Bose gas under isotropic harmonic confinement within a time-dependent density functional approach based on our recently calculated Monte Carlo (MC) bulk equation of…

Quantum Gases · Physics 2015-11-10 Francesco Ancilotto , Maurizio Rossi , Luca Salasnich , Flavio Toigo

In the effective action approach the imaginary part of the triple pomeron amplitude is calculated. The found dependence on the longitudinal momentum transfer $\e$ is found to separate as a simple factor $1/|\e|$. This result is used to…

High Energy Physics - Phenomenology · Physics 2020-06-16 M. A. Braun

We use a density functional theoretical approach to calculate the pair distribution function and the effective interactions in homogeneous fluids of spinless charged bosons. The scheme involves the self-consistent solution of a two-particle…

Soft Condensed Matter · Physics 2009-11-07 B. Davoudi , R. Asgari , M. Polini , M. P. Tosi

We present an exact numerical study of the scaling of density and momentum distribution functions of harmonically trapped one-dimensional bosons with repulsive contact interactions at zero and finite temperatures. We use path integral…

Quantum Gases · Physics 2016-09-05 Wei Xu , Marcos Rigol

van Hove's theory of scattering of probe particles by a macroscopic target is generalized so as to relate the differential cross section for atomic ejection via stimulated Raman transitions to one-particle momentum-time correlations and…

Soft Condensed Matter · Physics 2009-10-31 M. D. Girardeau , E. M. Wright

In this paper, we revise our main results involving the single particle momentum distribution of bosonic trimer states in two and three dimensions. A summary table makes easier the comparison between the matrix elements and the different…

Quantum Gases · Physics 2016-03-04 F. F. Bellotti , M. T. Yamashita

Vector-boson scattering processes are of great importance for the current run-II and future runs of the Large Hadron Collider. The presence of triple and quartic gauge couplings in the process gives access to the gauge sector of the…

The shape of the transverse momentum distribution of W bosons (p_T(W)) produced in pbarp collisions at sqrt(s)= 1.8 TeV is measured with the DO detector at Fermilab. The result is compared to QCD perturbative and resummation calculations…

High Energy Physics - Experiment · Physics 2008-11-26 D0 Collaboration , B. Abbott et al

We study an interacting Bose gas at T=0 under isotropic harmonic confinement within Density Functional Theory in the Local Density approximation. The energy density functional, which spans the whole range of positive scattering lengths up…

Quantum Gases · Physics 2015-06-22 Maurizio Rossi , Francesco Ancilotto , Luca Salasnich , Flavio Toigo

A model of a three Pomeron contribution to high energy elastic $pp$ and $\bar p p$ scattering is proposed. The data are well described for all momenta ($0.01\le |t|\le 14. GeV^2$) and energies ($8.\le\sqrt{s}\le 1800. GeV$) ($\chi^2/{\rm…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. A. Petrov , A. V. Prokudin

We present a systematic analytical approach to the trapping of a random walk by a finite density rho of diffusing traps in arbitrary dimension d. We confirm the phenomenologically predicted e^{-c_d rho t^{d/2}} time decay of the survival…

Statistical Mechanics · Physics 2009-11-07 F. van Wijland

Double parton scattering (DPS) corresponds to events where two parton-parton scatterings occur in a single hadron-hadron collision. The DPS effects may arise from the spectator scatterings that are somewhat related to soft QCD activities.…

High Energy Physics - Phenomenology · Physics 2024-11-25 Rui Zhang , Zhen Zhang

We consider a diffusing particle, with diffusion constant D', moving in one dimension in an infinite sea of noninteracting mobile traps with diffusion constant D and density rho. We show that the asymptotic behavior of the survival…

Statistical Mechanics · Physics 2009-11-07 Alan J. Bray , Richard A. Blythe

Recent experimental and theoretical work has indicated conditions in which a trapped, low-density Bose gas ought to behave like the 1D delta-function Bose gas solved by Lieb and Liniger. Up to now the theoretical arguments have been based…

Statistical Mechanics · Physics 2016-08-31 Elliott H. Lieb , Robert Seiringer , Jakob Yngvason

Recently, Benedikter and the author proved an approximate formula for the momentum distribution of a 3d fermionic gas interacting by a short-range pair potential in the mean-field regime, within a trial state close to the ground state.…

Mathematical Physics · Physics 2025-08-05 Sascha Lill
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