6533b837fe1ef96bd12a1dd1
RESEARCH PRODUCT
Critical Behavior for Correlated Strongly Coupled Boson Systems in 1 + 1 Dimensions
N. M. BogoliubovN. M. BogoliubovR. K. BulloughJussi Timonensubject
Condensed Matter::Quantum GasesStrongly coupledPhysicsMathematical modelIntegrable systemBose gasQuantum mechanicsPhase (waves)General Physics and AstronomyCritical exponentBosonSpin-½description
The natural integrable correlated strongly coupled boson system in 1 + 1 dimensions is the $q$-boson hopping model; we calculate its critical exponent $\ensuremath{\theta}$ and determine its correlation functions. For small couplings the $q$-boson model has natural connections with the Bose gas and the $\mathrm{XY}$ models of very large spin for which $\ensuremath{\theta}'\mathrm{s}$ and correlators are reported. For large couplings the hopping model is a new phase of interacting bosons substantially different from the impenetrable Bose gas.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1994-06-20 | Physical Review Letters |