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Thermalization in one- plus two-body ensembles for dense interacting boson systems

Employing one plus two-body random matrix ensembles for bosons, temperature and entropy are calculated, using different definitions, as a function of the two-body interaction strength λfor a system with 10 bosons (m=10) in five single particle levels (N=5). It is found that in a region λ\sim λ_t, different definitions give essentially same values for temperature and entropy, thus defining a thermalization region. Also, (m,N) dependence of λ_t has been derived. It is seen that λ_t is much larger than the λvalues where level fluctuations change from Poisson to GOE and strength functions change from Breit-Wigner to Gaussian.