Evolution of Higgs mode in a Fermion Superfluid with Tunable Interactions

Abstract

In this letter we present a coherent picture for the evolution of Higgs mode in both neutral and charged $s$-wave fermion superfluids, as the strength of attractive interaction between fermions increases from the BCS to the BEC regime. In the case of neutral fermionic superfluid, such as ultracold fermions, the Higgs mode is pushed to higher energy while at the same time, gradually loses its spectral weight as interaction strength increases toward the BEC regime, because the system is further tuned away from Lorentz invariance. On the other hand, when damping is taken into account, Higgs mode is significantly broadened due to coupling to phase mode in the whole BEC-BCS crossover. In the charged case of electron superconductor, the Anderson-Higgs mechanism gaps out the phase mode and suppresses the coupling between the Higgs and the phase modes, and consequently, stabilizes the Higgs mode.

5 figures, 9 pages, including supplementary material

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• Engineering Higgs dynamics by spectral singularities
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• Probing two Higgs oscillations in a one-dimensional Fermi superfluid with Raman-type spin-orbit coupling
• Gaussian quantum fluctuations in the superfluid-Mott phase transition
• Exciting the long-lived Higgs mode in superfluid Fermi gases with particle removal
• Damping of the Anderson-Bogolyubov mode by spin and mass imbalance in Fermi mixtures
• Attenuating Dynamics of Strongly Interacting Fermionic Superfluids in SYK Solvable Models
• Higgs mode in $2+1$ dimensional $O(2)$ model
• Effective field theory of the Higgs mode in a two-dimensional dilute Bose gas
• Higgs oscillations in a unitary Fermi superfluid