Quantum Carpets of Higgs particles in a Supersolid

TL;DR

This paper explores the dynamics of Higgs excitations in supersolid Bose-Einstein condensates, revealing quantum revival phenomena that enable non-spectroscopic measurement of Higgs effective mass.

Contribution

It introduces a numerical study of localized Higgs quasiparticles in a toroidal supersolid, demonstrating revival phenomena linked to quadratic dispersion.

Findings

Observation of fractional revivals akin to quantum carpets.

Proposed method to measure Higgs mass via revival times.

Minimal damping of Higgs modes in toroidal geometry.

Abstract

Supersolids formed from dipolar Bose-Einstein condensates (BECs) exhibit spontaneous density modulation while maintaining global phase coherence. This state of matter supports gapped amplitude (Higgs) excitations featuring a quadratic dispersion relation. While Higgs modes are typically strongly damped due to coupling with other amplitude and phase modes, imposing an experimentally realistic toroidal geometry allows us to numerically study the time evolution and dispersion of a localized Higgs quasiparticle excitation, with minimal residual coupling to sound modes. Strikingly, the quadratic dispersion leads to the occurrence of (fractional) revivals, similar to those seen in the optical Talbot effect or the so-called quantum carpets. The revival times provide a novel method for determining the effective mass of the Higgs particle through a non-spectroscopic approach. These results pave the way for further studies of coherent Higgs dynamics and mutual interactions between Higgs particles.