Ground and Low-Lying Collective States of Rotating Three-Boson System. (1st April 2016)

• Record Type: Journal Article
• Authors: Imran, Mohd.; Ahsan, M.A.H.
• Is Part Of: Communications in theoretical physics. Volume 65:Number 4(2016:Apr.)
• Page Start: 473
• Page End: 482
• Publication Date: 2016-04-01
• Subjects: 05.30.Jp -- 67.85.De -- 73.43.−f; Bose–Einstein condensation -- exact diagonalization -- breathing mode -- Bose–Laughlin state -- von Neumann entropy -- conditional probability distribution; Physics -- Periodicals; 530.105
• DOI: 10.1088/0253-6102/65/4/473
• Languages: English
• ISSNs: 0253-6102

Abstract

Abstract: The ground and low-lying collective states of a rotating system of N = 3 bosons harmonically confined in quasi-two-dimension and interacting via repulsive finite-range Gaussian potential is studied in weakly to moderately interacting regime. The N-body Hamiltonian matrix is diagonalized in subspaces of quantized total angular momenta 0 ≥ L ≥ 4N to obtain the ground and low-lying eigenstates. Our numerical results show that breathing modes with N-body eigenenergy spacing of 2ħω⊥, known to exist in strictly 2D system with zero-range (δ-function) interaction potential, may as well exist in quasi-2D system with finite-range Gaussian interaction potential. To gain an insight into the many-body states, the von Neumann entropy is calculated as a measure of quantum correlation and the conditional probability distribution is analyzed for the internal structure of the eigenstates. In the rapidly rotating regime the ground state in angular momentum subspaces L = (q/2)N (N − 1) with q = 2, 4 is found to exhibit the anticorrelation structure suggesting that it may variationally be described by a Bose-Laughlin like state. We further observe that the first breathing mode exhibits features similar to the Bose-Laughlin state in having eigenenergy, von Neumann entropy and internal structure independent of interaction for the three-boson system considered here. On the contrary, for eigenstates lying between the Bose-Laughlin like ground state and the first breathing mode, values of eigenenergy, von Neumann entropy and internal structure are found to vary with interaction.