After release from the trap momentum distribution of an impenetrable gas asymptotically approaches that a spinless noninteracting Fermi in initial trap. This phenomenon is called dynamical fermionization and, very recently, has been experimentally confirmed case Lieb-Liniger model Tonks-Girardeau regime. We prove analytically and confirm numerically following removal axial confinement strongly ...

Weyl semimetals harbor topological Fermi-arc surface states which determine the nontrivial charge current response to external fields. We here study quasiparticle decay rate of Fermi arc arising from their coupling acoustic phonons, as well phonon-limited conductivity tensor for a clean semimetal slab. Using phonon modes an isotropic elastic continuum with deformation potential electrons, we te...

We construct systematic expansions around four and two spatial dimensions for a Fermi gas near the unitarity limit. Near four spatial dimensions such a Fermi gas can be understood as a weaklyinteracting system of fermionic and bosonic degrees of freedom. To the leading and next-to-leading orders in the expansion over ǫ = 4 − d, with d being the dimensionality of space, we calculate the thermody...

the probability density functions fitting to the discrete probability functions has always been needed, and very important. this paper is fitting the continuous curves which are probability density functions to the binomial probability functions, negative binomial geometrics, poisson and hypergeometric. the main key in these fittings is the use of the derivative concept and common differential ...

A special class of four-point correlation functions in the maximally supersymmetric Yang-Mills theory is given by square Fredholm determinant a generalized Bessel kernel. In this note, we re-express its logarithmic derivatives terms two-dimensional Riemann-Hilbert problem. We solve latter null limit making use Deift-Zhou steepest descent. reproduce exact octagonal anomalous dimension 't Hooft c...

One-dimensional world is very unusual as there is an interplay between quantum statistics and geometry, and a strong short-range repulsion between atoms mimics Fermi exclusion principle, fermionizing the system. Instead, a system with a large number of components with a single atom in each, on the opposite acquires many bosonic properties. We study the ground-state properties of a multicomponen...