Exact yrast spectra of cold atoms on a ring

Journal Article · Tue Mar 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.031601· OSTI ID:21537360

Kaminishi, Eriko; Kanamoto, Rina; Sato, Jun; Deguchi, Tetsuo ^[1]

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1. Department of Physics, Graduate School of Humanities and Sciences, Ochanomizu University, 2-1-1 Ohtsuka, Bunkyo-ku, Tokyo 112-8610 (Japan)

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.

• OSTI ID: 21537360
• Journal Information: Physical Review. A, Vol. 83, Issue 3; Other Information: DOI: 10.1103/PhysRevA.83.031601; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANGULAR MOMENTUM
ASYMPTOTIC SOLUTIONS
ATOMS
BOUNDARY CONDITIONS
CONFORMAL INVARIANCE
EXCITATION
EXCITED STATES
ONE-DIMENSIONAL CALCULATIONS
PARTICLES
QUANTUM FIELD THEORY
SPECTRA
U-1 GROUPS
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL SOLUTIONS
SYMMETRY GROUPS
U GROUPS