Supersymmetric waves in Bose-Fermi mixtures

Abstract

Interacting Bose-Fermi mixtures possess a fermionic (super)symmetry when bosons and fermions in the mixture have equal masses, and when the interaction strengths are appropriately tuned. This symmetry is spontaneously broken in the ground state of the mixture, leading to a novel Goldstone mode with fermionic statistics and quadratic dispersion. Here we examine the effect of explicit symmetry-breaking perturbations on the Goldstone mode. When the symmetry is not exact and the system is allowed to deviate from the symmetric point, we find that the Goldstone mode acquires an energy gap. We show that the excitations manifest themselves as a non-analyticity of the thermodynamic pressure.

5+epsilon pages, 2 page supplement. v2: Improved discussion of experimental realization; v3: Typos fixed, clarity improved

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• 1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
• Boundary supersymmetry of 1+1 d fermionic SPT phases
• Supergravity model of the Haldane-Rezayi fractional quantum Hall state
• 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
• Correlation Effects in a Trapped Bose-Fermi Mixture: Exact Results
• Unconventional supersymmetric quantum mechanics in spin systems