Cold atomic gases have become a paradigmatic system for exploring fundamental physics, which at the same time allows for applications in quantum technologies. The accelerating …
Systems of interacting bosons in triple-well potentials are of significant theoretical and experimental interest. They are explored in contexts that range from quantum phase …
MT Batchelor, A Foerster - Journal of Physics A: Mathematical …, 2016 - iopscience.iop.org
Abstract The Yang–Baxter equation has long been recognised as the masterkey to integrability, providing the basis for exactly solved models which capture the fundamental …
S Khachatryan, A Sedrakyan - Journal of Statistical Physics, 2013 - Springer
We present most general one-parametric solutions of the Yang-Baxter equations (YBE) for one spectral parameter dependent R ij (u)-matrices of the six-and eight-vertex models …
In this work, we investigate the semiclassical limit of a simple bosonic quantum many-body system exhibiting both integrable and chaotic behavior. A classical Hamiltonian is derived …
We investigate two solvable models for Bose–Einstein condensates and extract physical information by studying the structure of the solutions of their Bethe ansatz equations. A …
XW Guan, MT Batchelor, JY Lee - Physical Review A—Atomic, Molecular, and …, 2008 - APS
We investigate magnetic properties and statistical effects in one-dimensional (1D) strongly repulsive two-component fermions and in a 1D mixture of strongly repulsive polarized …
AP Tonel, LH Ymai, A Foerster… - Journal of Physics A …, 2015 - iopscience.iop.org
We introduce an integrable, four-well ring model for bosons where the tunneling couplings between nearest-neighbour wells are not restricted to be equal. We show how the model …
Inspired by the increasing possibility of experimental control in ultracold atomic physics, we introduce a new Lax operator and use it to construct and solve models with two wells and …