223 citations · 1.6k across the 36 of their papers we have counts for
36 papers
Momentum distribution for a one-dimensional trapped gas of hard-core bosons
G. J. Lapeyre, M. D. Girardeau, E. M. Wright
Using the exact -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-parti…
Super Tonks-Girardeau state in an attractive one-dimensional dipolar gas
M. D. Girardeau, G. E. Astrakharchik
The ground state of a one-dimensional (1D) quantum gas of dipoles oriented perpendicular to the longitudinal axis, with a strong 1/x^3 repulsive potential, is studied at low 1D den…
Exact ground state properties of the one-dimensional Coulomb gas
G. E. Astrakharchik, M. D. Girardeau
The ground state properties of a single-component one-dimensional Coulomb gas are investigated. We use Bose-Fermi mapping for the ground state wave function which permits to solve…
Three-body exclusion principle, duality mapping, and exact ground state of a harmonically trapped, ultracold Bose gas with three-body hard-core interactions in one dimension
M. D. Girardeau
Motivated by previous suggestions that three-body hard-core interactions in lower-dimensional ultracold Bose gases might provide a way for creation of non-Abelian anyons, the exact…
Tonks-Girardeau and Super Tonks-Girardeau States of a Trapped 1D Spinor Bose Gas
M. D. Girardeau
A harmonically trapped ultracold 1D spin-1 Bose gas with strongly repulsive or attractive 1D even-wave interactions induced by a 3D Feshbach resonance is studied. The exact ground…
Two super Tonks-Girardeau states of a trapped 1D spinor Fermi gas
M. D. Girardeau
A harmonically trapped ultracold 1D spinor Fermi gas with a strongly attractive 1D even-wave interaction induced by a 3D Feshbach resonance is studied. It is shown that it has two…