Non-Hermitian $p$-wave superfluid and effects of the inelastic three-body loss in a one-dimensional spin-polarized Fermi gas

Abstract

We theoretically investigate non-Hermitian $p$-wave Fermi superfluidity in one-dimensional spin-polarized Fermi gases which is relevant to recent ultracold atomic experiments. Considering an imaginary atom-dimer coupling responsible for the three-body recombination process in the Lindblad formalism, we discuss the stability of the superfluid state against the atomic loss effect. Within the two-channel non-Hermitian BCS-Leggett theory, the atomic loss is characterized by the product of the imaginary atom-dimer coupling and the $p$-wave effective range. Our results indicate that for a given imaginary atom-dimer coupling, a smaller magnitude of the effective ranges of $p$-wave interaction is crucial for reaching the non-Hermitian $p$-wave Fermi superfluid state.

arXiv comment9 pages, 3 figures

References in corpus (56)

• Unpaired Majorana fermions in quantum wires
• Feshbach Resonances in Ultracold Gases
• Quantum trajectories and open many-body quantum systems
• Pairing in nuclear systems: from neutron stars to finite nuclei
• Resonantly-paired fermionic superfluids
• Tuning p-wave interactions in an ultracold Fermi gas of atoms
• Quantum phase transitions across p-wave Feshbach resonance
• Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction
• P-wave Feshbach resonances of ultra-cold ${}^6$Li
• Fermion-Boson Duality of One-dimensional Quantum Particles with Generalized Contact Interaction
• A road to reality with topological superconductors
• Collisional Properties of p-Wave Feshbach Molecules
• Binding Energies of 6Li p-wave Feshbach Molecules
• BCS-BEC crossover in a gas of Fermi atoms with a p-wave Feshbach resonance
• Causality and the effective range expansion
• Evolution from BCS to BEC superfluidity in p-wave Fermi gases
• Strongly-resonant p-wave superfluids
• Resonant Scattering of Ultracold Atoms in Low Dimensions
• Causality and universality in low-energy quantum scattering
• Manipulation of p-wave scattering of cold atoms in low dimensions using the magnetic field vector
• Alternative Route to Strong Interaction: Narrow Feshbach Resonance
• Lindblad Equation for the Inelastic Loss of Ultracold Atoms
• Designer Spatial Control of Interactions in Ultracold Gases
• Bose-Fermi dualities for arbitrary one-dimensional quantum systems in the universal low energy regime
• Scaling Law for Three-body Collisions in Identical Fermions with $p$-wave Interactions
• Collisional loss of one-dimensional fermions near a $p$-wave Feshbach resonance
• Open Effective Field Theories from Deeply Inelastic Reactions
• High-momentum distribution with subleading $k^{-3}$ tail in the odd-wave interacting one-dimensional Fermi gases
• Observation of unitary p-wave interactions between fermions in an optical lattice
• Optical Control of the Scattering Length and Effective Range for Magnetically Tunable Feshbach Resonances in Ultracold Gases
• Field-theoretical aspects of one-dimensional Bose and Fermi gases with contact interactions
• Unitarity-limited behavior of three-body collisions in a p-wave interacting Fermi gas
• Comparative study of one-dimensional Bose and Fermi gases with contact interactions from the viewpoint of universal relations for correlation functions
• Universal duality transformations in interacting one-dimensional quantum systems
• Stretching p-wave molecules by transverse confinements
• Two-body relaxation of spin-polarized fermions in reduced dimensionalities near a p-wave Feshbach resonance
• Three-body recombination near a narrow Feshbach resonance in ${}^6$Li
• Quantitative analysis of $p$-wave three-body losses via cascade process
• Three-body losses of a polarized Fermi gas near a p-wave Feshbach resonance in effective field theory
• Non-Hermitian BCS-BEC evolution with a complex scattering length
• Spin-polarized fermions with $p$-wave interactions
• Many-body stabilization of a resonant p-wave Fermi gas in one dimension
• Unitary $p$-wave Fermi gas in one dimension
• Precursor of Superfluidity in a Strongly Interacting Fermi Gas with Negative Effective Range
• Effective scattering and Efimov physics in the presence of two-body dissipation
• Theory of non-Hermitian fermionic superfluidity on a honeycomb lattice: Interplay between exceptional manifolds and van Hove Singularity
• Pairing fluctuations and anisotropic pseudogap phenomenon in an ultracold superfluid Fermi gas with plural $p$-wave superfluid phases
• Non-Hermitian topological Fermi superfluid near the $p$-wave unitary limit
• Theory of strongly paired fermions with arbitrary short-range interactions
• Stability against three-body clustering in one-dimensional spinless p-wave fermions
• Generalized Crossover in Interacting Fermions within the Low-Energy Expansion
• Optical spin transport theory of spin-1/2 topological Fermi superfluids
• Ground-state properties of dilute spinless fermions in fractional dimensions
• Efimov physics in the complex plane
• Anomalous loss behavior in a single-component Fermi gas close to a $p$-Wave Feshbach resonance
• Cooper pairing and tripling in one-dimensional spinless fermions with attractive two- and three-body forces

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