Collective modes of a soliton train in a Fermi superfluid

Abstract

We characterize the collective modes of a soliton train in a quasi-one-dimensional Fermi superfluid, using a mean-field formalism. In addition to the expected Goldstone and Higgs modes, we find novel long-lived gapped modes associated with oscillations of the soliton cores. The soliton train has an instability that depends strongly on the interaction strength and the spacing of solitons. It can be stabilized by filling each soliton with an unpaired fermion, thus forming a commensurate Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase. We find that such a state is always dynamically stable, which paves the way for realizing long-lived FFLO states in experiments via phase imprinting.

Published version: 4-page article + references + supplement. Supplement contains two new sections on (i) protocol to engineer soliton train states and (ii) convention for Bogoliubov operators. Results and conclusions unchanged

References in corpus (27)

• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Amplitude / Higgs Modes in Condensed Matter Physics
• The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
• Experimental observation of oscillating and interacting matter wave dark solitons
• Synchronization in the BCS Pairing Dynamics as a Critical Phenomenon
• Formation of matter-wave soliton trains by modulational instability
• The Higgs Mode in Disordered Superconductors Close to a Quantum Phase Transition
• Observation of Solitonic Vortices in Bose-Einstein Condensates
• Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems
• Quasi-one-dimensional polarized Fermi superfluids
• Stabilization of Solitons Generated by a Supersonic Flow of Bose-Einstein Condensate Past an Obstacle
• Breakdown of Fermi liquid description for strongly interacting fermions
• Sagnac Interferometry Using Bright Matter-Wave Solitons
• Nature and Raman signatures of the Higgs amplitude mode in the coexisting superconducting and charge-density-wave state
• End of inflation, oscillons and matter-antimatter asymmetry
• Solitons, solitonic vortices, and vortex rings in a confined Bose-Einstein condensate
• Finite temperature phase diagram of a spin-polarized ultracold Fermi gas in a highly elongated harmonic trap
• Traveling Dark Solitons in Superfluid Fermi Gases
• Chladni solitons and the onset of the snaking instability for dark solitons in confined superfluids
• Probing the FFLO phase by double occupancy modulation spectroscopy
• Signature of the FFLO phase in the collective modes of a trapped ultracold Fermi gas
• Spectral properties of a partially spin-polarized one-dimensional Hubbard/Luttinger superfluid
• Proper phase imprinting method for a dark soliton excitation in a superfluid Fermi mixture
• Bogoliubov-de Gennes study of trapped spin-imbalanced unitary Fermi gases
• Collective modes and the speed of sound in the Fulde-Ferrell-Larkin-Ovchinnikov state
• Core filling and snaking instability of dark solitons in spin-imbalanced superfluid Fermi gases

Cited by in corpus (7)

• Suppressed solitonic cascade in spin-imbalanced superfluid Fermi gas
• Ring solitons and soliton sacks in imbalanced fermionic systems
• Snake instability of dark solitons across the BEC-BCS crossover: an effective field theory perspective
• Density-Matrix Renormalization Group for Continuous Quantum Systems
• Protocol to engineer Fulde-Ferrell-Larkin-Ovchinnikov states in a cold Fermi gas
• Collective modes in Fulde-Ferrell-Larkin-Ovchinnikov superconductors: The role of long-range Coulomb interaction and signatures in density response
• Detecting Topological Phase Transition in Superconductor-Semiconductor Hybrids by Electronic Raman Spectroscopy