We consider the integrable one-dimensional Î´-function interacting Bose gas in a hard wall box which is exactly solved via the coordinate Bethe ansatz. The ground-state energy, including the surfaceâ€¦ (More)

X. W. Guan,1 M. T. Batchelor,1,2 C. Lee,3 and M. Bortz1 1Department of Theoretical Physics, Research School of Physical Sciences and Engineering, Australian National University, Canberra, Australianâ€¦ (More)

We have found that the Bethe roots describing the ground state of the integrable one-dimensional model of interacting bosons with weakly repulsive two-body delta interactions satisfy the set ofâ€¦ (More)

We construct an extended Hubbard model with open boundaries from a R-matrix based on the U q [Osp(2|2)] superalgebra. We study the reflection equation and find two classes of diagonal solutions. Theâ€¦ (More)

We consider the asymptotic solutions to the Bethe ansatz equations of the integrable model of interacting bosons in the weakly interacting limit. In this limit we establish that the ground state mapsâ€¦ (More)

We investigate the quantum phase diagram of the exactly solved mixed spin-(1 2 , 1) ladder via the thermodynamic Bethe ansatz (TBA). In the absence of a magnetic field the model exhibits threeâ€¦ (More)

A supersymmetric U q [osp(2|2)]-extended Hubbard model with boundary fields Abstract A strongly correlated electron system associated with the quantum superalgebra U q [osp(2|2)] is studied in theâ€¦ (More)

We investigate the nature of trions, pairing, and quantum phase transitions in one-dimensional strongly attractive three-component ultracold fermions in external fields. Exact results for theâ€¦ (More)

An extensive investigation is given for magnetic properties and phase transitions in one-dimensional (1D) Bethe ansatz integrable spin-1/2 attractive fermions with polarization by means of theâ€¦ (More)