Properties of Trapped Bose gas in the large-gas-parameter regime

Satya Ram Mishra, Surjya Prakash Ram, Arup Banerjee

Hualin Shi, Wei‐Mou Zheng

Arup Banerjee, Manoranjan P. Singh

We study the properties of vortex states of a trapped Bose gas in the large-gas-parameter regime. To test the validity of the Gross-Pitaevskii theory in this regime for vortex states, we compare the results of the Gross-Pitaevskii and the modified Gross-Pitaevskii calculations for the total energy, chemical potential, density profile, and frequency shift of the quadrupole modes of the collective oscillations of a harmonically trapped condensate carrying a single quantized vortex. We find that in the large-gas-parameter regime, two calculations give substantially different results for all the properties mentioned above.

F. Dalfovo, S. Giorgini, Лев П. Питаевский +1 more

Arup Banerjee, Manoranjan P. Singh

We study the effect of going beyond the Gross-Pitaevskii theory on the frequencies of collective oscillations of a trapped Bose gas in the large gas parameter regime. We go beyond the Gross-Pitaevskii regime by including a higher-order term in the interatomic correlation energy. To calculate the frequencies we employ the sum-rule approach of many-body response theory coupled with a variational method for the determination of ground-state properties. We show that going beyond the Gross-Pitaevskii approximation introduces significant corrections to the collective frequencies of the compressional mode.

Renu Bala, K. N. Pathak