Goldstino in supersymmetric Bose-Fermi mixtures in the presence of Bose Einstein condensate

Abstract

We analyze the spectral properties of the Goldstino excitation in a Bose-Fermi mixture of cold atoms, whose masses and interaction strengths are tuned so that the hamiltonian is supersymmetric. We consider systems at zero temperature and assume that, in the weak coupling regime, the fermions form a Fermi sea, while the bosons form a Bose-Einstein condensate. We study the excitation spectrum within a simple extension of the random phase approximation, taking into account the mixing between the supercharge and the fermion caused by the condensate. This mixing affects the fermion spectrum strongly. We argue that the corresponding modification of the fermion spectrum, and the associated fermion distribution in momentum space, could be accessible experimentally, and potentially allow for a determination of the Goldstino properties.

16 pages, 20 figures; v2: Ref. [12] added, discussion for strong coupling case extended at the end of Sec. V; v3: Ref. [16] updated, last sentence in footnote 1 moved to acknowledgement section

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Cited by in corpus (6)

• Supersymmetry Breaking and Nambu-Goldstone Fermions in Interacting Majorana Chains
• Realization of supersymmetry and its spontaneous breaking in quantum Hall edges
• 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