Effective field theory of the Higgs mode in a two-dimensional dilute Bose gas

Abstract

We investigate the spectral function of the Higgs mode in a two dimensional Bose gas, by using the effective field theory in the zero temperature limit. Our approach explains the experimental feature that the peak of the spectral function is a soft continuum rather than a sharp peak, broadened and vanishing in the superfluid phase, which cannot be explained in terms of the $O(2)$ model. We also find that the scalar susceptibility is the same as the longitudinal susceptibility.

26 pages, 13 figures

References in corpus (3)

• The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
• Detecting the Amplitude Mode of Strongly Interacting Lattice Bosons by Bragg Scattering
• Damping of the Higgs and Nambu-Goldstone modes of superfluid Bose gases at finite temperatures