1202.3414 (Yusuke Nishida et al.)

Universal molecules trapped with discrete scaling symmetries    [PDF]

Yusuke Nishida, Dean Lee

When the scattering length is proportional to distance from the center of the
system, two particles are shown to be trapped about the center. Furthermore,
their spectrum exhibits discrete scale invariance whose scale factor is
controlled by the slope of the scattering length. We also discuss how the
emergent discrete scaling symmetry is violated for more than two bosons, which
may shed new light on Efimov physics. Our system thus serves as a tunable model
system to investigate universal physics involving scale invariance, quantum
anomaly, and renormalization group limit cycle, which are important in a broad
range of quantum physics.

View original: http://arxiv.org/abs/1202.3414