Spectral properties of the Goldstino in supersymmetric Bose-Fermi mixtures

Abstract

We evaluate the spectral properties of the Goldstino in a Bose-Fermi mixture of cold atoms and molecules whose dynamics is governed by a supersymmetric hamiltonian. Model independent results are obtained from sum rules obeyed by the spectral function. We carry out specific calculations, at zero and finite temperature, using the Random Phase Approximation, and obtain in particular analytic expressions for the dispersion relation at small momentum. These explicit calculations allow us to pin down more precisely the features of the Goldstino that can be attributed to the supersymmetry alone, together with its spontaneous breaking. The anomalous large effect of the Fermi sea at moderate and large momenta is emphasized.

31 pages, 12 figures; v2: figures 5, 7~12 are replaced to improve visibility, remarks on range of validity of the sum rules are added, the argument after Eq. (2.15) is corrected

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Cited by in corpus (9)

• Counting Rules of Nambu-Goldstone Modes
• Supersymmetry Breaking and Nambu-Goldstone Fermions in Interacting Majorana Chains
• Realization of supersymmetry and its spontaneous breaking in quantum Hall edges
• Supersymmetry breaking and Nambu-Goldstone fermions in an extended Nicolai model
• Goldstino in supersymmetric Bose-Fermi mixtures in the presence of Bose Einstein condensate
• 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