6533b863fe1ef96bd12c7862
RESEARCH PRODUCT
Finite-temperature correlations in the one-dimensional trapped and untrapped Bose gases
Jussi TimonenN M BogoliubovC. MalyshevR. K. Bulloughsubject
PhysicsCondensed Matter::Quantum GasesHigh Energy Physics - TheoryBose gasStatistical Mechanics (cond-mat.stat-mech)Nonlinear Sciences - Exactly Solvable and Integrable SystemsCondensed Matter::OtherFOS: Physical sciencesTrappingWave equationAtomic and Molecular Physics and OpticsCorrelation function (statistical mechanics)Radiation pressureHigh Energy Physics - Theory (hep-th)Quantum mechanicsQuantum electrodynamicsExponentExactly Solvable and Integrable Systems (nlin.SI)ScalingCondensed Matter - Statistical MechanicsBosondescription
We calculate the dynamic single-particle and many-particle correlation functions at non-zero temperature in one-dimensional trapped repulsive Bose gases. The decay for increasing distance between the points of these correlation functions is governed by a scaling exponent that has a universal expression in terms of observed quantities. This expression is valid in the weak-interaction Gross-Pitaevskii as well as in the strong-interaction Girardeau-Tonks limit, but the observed quantities involved depend on the interaction strength. The confining trap introduces a weak center-of-mass dependence in the scaling exponent. We also conjecture results for the density-density correlation function.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-06-30 |