Embedded Gaussian unitary ensembles withU(Ω)⊗SU(r) embedding generated by random two-body interactions withSU(r) symmetry

Manan Vyas, V. K. B. Kota
2012 Journal of Mathematical Physics  
Following the earlier studies on embedded unitary ensembles generated by random two-body interactions [EGUE(2)] with spin SU(2) and spin-isospin SU(4) symmetries, developed is a general formulation, for deriving lower order moments of the one- and two-point correlation functions in eigenvalues, that is valid for any EGUE(2) and BEGUE(2) ('B' stands for bosons) with U(Ω) ⊗ SU(r) embedding and with two-body interactions preserving SU(r) symmetry. Using this formulation with r=1, we recover the
more » ... ults derived by Asaga et al [Ann. Phys. (N.Y.) 297, 344 (2002)] for spinless boson systems. Going further, new results are obtained for r=2 (this corresponds to two species boson systems) and r=3 (this corresponds to spin 1 boson systems).
doi:10.1063/1.4768711 fatcat:lbcfaglpwfhbhlhnayfj7jgode