Measurement of one-particle correlations and momentum distributions for trapped 1D gases

Abstract

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 momentum distributions of 1D trapped gases. This method is well suited to probing the longitudinal momentum distributions of 1D gases in situ, and examples are given for bosonic and fermionic atoms.

4 pages, 2 .eps figures

Cited by in corpus (15)

• Bosonizing one-dimensional cold atomic gases
• Stability and phase coherence of trapped 1D Bose gases
• Momentum spectroscopy of 1D phase fluctuations in Bose-Einstein condensates
• High-momentum tail in the Tonks gas under harmonic confinement
• Dynamical transition from a quasi-one dimensional Bose-Einstein condensate to a Tonks-Girardeau gas
• Momentum distribution dynamics of a Tonks-Girardeau gas: Bragg reflections of a quantum many-body wavepacket
• Effective interactions, Fermi-Bose duality, and ground states of ultracold atomic vapors in tight de Broglie waveguides
• Low-Energy Properties of a One-dimensional System of Interacting bosons with Boundaries
• Violation of self-similarity in the expansion of a 1D Bose gas
• Effects of coherence on quantum speed limits and shortcuts to adiabaticity in many-particle systems
• Dynamical Fermionization in One Dimensional Spinor Gases
• Temperature dependence of density profiles for a cloud of non-interacting fermions moving inside a harmonic trap in one dimension
• Raman Spectroscopy of Mott insulator states in optical lattices
• Non-adiabatic generation of NOON states in a Tonks--Girardeau gas
• Momentum-space interferometry with trapped ultracold atoms