Relaxation of a Goldstino-like mode due to supersymmetry breaking in Bose-Fermi mixtures

Abstract

In the presence of nonrelativistic supersymmetry, a sharp fermionic collective mode similar to the Goldstino mode in high-energy physics was proposed to be realized in Bose-Fermi mixtures. The Goldstino mode is relaxed (a.k.a. decays) if supersymmetry is explicitly broken, which can be revealed as the broadening of the corresponding spectral function. We find that the situation shares many similarities with the electron spin resonance in magnetic systems and adopt the well-known Kubo-Tomita theory to perform a general analysis of the spectral function lineshape broadening of the Goldstino mode.

arXiv comment11 pages

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• Goldstino in supersymmetric Bose-Fermi mixtures in the presence of Bose Einstein condensate
• Spectral properties of the Goldstino in supersymmetric Bose-Fermi mixtures
• 1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
• Dispersive 1D Majorana modes with emergent supersymmetry in 1D proximitized superconductors via spatially-modulated potentials and magnetic fields
• Goldstino spectrum in an ultracold Bose-Fermi mixture with explicitly broken supersymmetry
• Probing Goldstino excitation through the tunneling transport in a Bose-Fermi mixture with explicitly broken supersymmetry