Implications of SU(2) symmetry on the dynamics of population difference in the two-component atomic vapor

A. B. Kuklov; Joseph L. Birman

doi:10.1103/PhysRevLett.85.5488

paper

Implications of SU(2) symmetry on the dynamics of population difference in the two-component atomic vapor

arXiv:cond-mat/0008258 · doi:10.1103/PhysRevLett.85.5488

Abstract

We present an exact many body solution for the dynamics of the population difference $N_{2} - N_{1}$ induced by an rf-field in the two-component atomic cloud characterized by equal scattering lengths. This situation is very close to the actual JILA experiments with the two-component $^{87}$ Rb vapor. We show that no intrinsic decoherence exists for $N_{2} - N_{1}$ , provided the exact SU(2) symmetry holds. This contrasts with finite dissipation of the normal modes even in the presence of the SU(2) symmetry. The intrinsic decoherence for $N_2-N_1 $ma y occ u r a s l o n g a s d e v ia t i o n s f r o m t h ee x a c tS U (2) sy mm e t r y a r e t ak e nin t o a cco u n t . S u c h d eco h er e n ce, h o w e v er, s h o u l d b ec ha r a c t er i z e d b y v er y l o n g t im es g o v er n e d b y t h es ma l l n esso f t h e d e v ia t i o n s f r o m t h esy mm e t r y . W es ug g es tt es t in g t h ee v o l u t i o n o f$ N_2-N_1$ by conducting echo-type experiments.

5 RevTex pages, no figures, typos corrected

Implications of SU(2) symmetry on the dynamics of population difference in the two-component atomic vapor

Abstract

References in corpus (8)

Cited by in corpus (10)