Understanding the effect of correlations in interacting many-body systems is one of the main
challenges in quantum mechanics. While the general problem can only be addressed by …

The derivation of determinant representations for the space-, time-, and temperature-
dependent correlation functions of the impenetrable Gaudin-Yang model in the presence of …

After release from the trap the momentum distribution of an impenetrable gas asymptotically
approaches that of a spinless noninteracting Fermi gas in the initial trap. This phenomenon …

We show that a Tonks-Girardeau (TG) gas that is immersed in a Bose-Einstein condensate
can undergo a transition to a crystal-like Mott state with regular spacing between the atoms …

We report on the derivation of determinant representations for the Green's functions and
spectral function of the trapped Tonks-Girardeau gas on the lattice and in the continuum. Our …

We develop a general approach for calculating the characteristic function of the work
distribution of quantum many-body systems in a time-varying potential, whose many-body …

Following the removal of axial confinement the momentum distribution of a Tonks-Girardeau
gas approaches that of a system of noninteracting spinless fermions in the initial harmonic …

In this paper, we investigate the quench dynamics of strongly interacting anyons triggered by
the quench of harmonic trap frequency. The exact time-dependent many-body wavefunction …

One of quantum physics's fundamental, but largely unsolved, problems is the computation of
the correlation functions in many-body systems. In this paper we address this problem in the …

Ultracold gases provide an unparalleled platform to explore physics found in atomic or
molecular gases, offering a manifold of prospects to simulate and examine canonical …