Operator-Algebraic Approach to the Yrast Spectrum of Weakly Interacting Trapped Bosons

Abstract

We present an operator-algebraic approach to deriving the low-lying quasi-degenerate spectrum of weakly interacting trapped N bosons with total angular momentum \hbar L for the case of small L/N, demonstrating that the lowest-lying excitation spectrum is given by 27 g n_3(n_3-1)/34, where g is the strength of the repulsive contact interaction and n_3 the number of excited octupole quanta. Our method provides constraints for these quasi-degenerate many-body states and gives higher excitation energies that depend linearly on N.

7 pages, one figure

References in corpus (6)

• Weakly-interacting Bose-Einstein condensates under rotation
• Exact Eigenstates for Repulsive Bosons in Two Dimensions
• Rotational spectra of weakly interacting Bose-Einstein condensates
• Weakly Interacting Bose-Einstein Condensates Under Rotation: Mean-field versus Exact Solutions
• Analytical results for a trapped, weakly-interacting Bose-Einstein condensate under rotation
• Low-Lying Excitations from the Yrast Line of Weakly Interacting Trapped Bosons

Cited by in corpus (5)

• Energy gaps and roton structure above the nu=1/2 Laughlin state of a rotating dilute Bose-Einstein condensate
• Vortices in Bose-Einstein condensates - finite-size effects and the thermodynamic limit
• Quantal molecular description and universal aspects of the spectra of bosons and fermions in the lowest Landau level
• A fully quantal molecular description for the spectra of bosons and fermions in the lowest Landau level
• Universal solutions for interacting bosons in one-dimensional harmonic traps