Nm. Bogoliubov et al., CRITICAL-BEHAVIOR FOR CORRELATED STRONGLY COUPLED BOSON SYSTEMS IN 1+1 DIMENSIONS, Physical review letters, 72(25), 1994, pp. 3933-3936
The natural integrable correlated strongly coupled boson system in 1 1 dimensions is the q-boson hopping model; we calculate its critical
exponent theta and determine its correlation functions. For small coup
lings the q-boson model has natural connections with the Bose gas and
the XY models of very large spin for which theta's and correlators are
reported. For large couplings the hopping model is a new phase of int
eracting bosons substantially different from the impenetrable Bose gas
.