Exact Yrast Spectra of Cold Atoms on a Ring

Details Exact Yrast Spectra of Cold Atoms on a Ring Exact Yrast Spectra of Cold Atoms on a Ring

2010-09-28

arxiv.org/abs/1009.5438v1

Phys. Rev. A 83, 031601(R) (2011)

Physics

Condensed Matter

Quantum Gases

5 pages, 3 figures

Scientific paper

10.1103/PhysRevA.83.031601

We propose a methodology to construct excited states with a fixed angular momentum, namely, "yrast excited states" of finite-size one-dimensional bosonic systems with periodic boundary conditions. The excitation energies such as the first yrast excited energy are calculated through the system-size asymptotic expansion and expressed analytically by dressed energy. Interestingly, they are grouped into sets of almost degenerate energy levels. The low-lying excitation spectrum near the yrast state is consistent with the $ U(1)$ conformal field theories if the total angular momentum is given by an integral multiple of particle number; i.e., if the system is supercurrent.

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