Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/0701326 · Physical Review B

Predicted signatures of p -wave superfluid phases and Majorana zero modes of fermionic atoms in rf absorption

Eytan Grosfeld, Nigel R. Cooper, Ady Stern, Roni Ilan

Published Sep 21, 2007• 26 citations
arXivHTMLPDF

Abstract

We study the superfluid phases of quasi-two-dimensional atomic Fermi gases interacting via a $p$-wave Feshbach resonance. We calculate the absorption spectra of these phases under a hyperfine transition for both nonrotating and rotating superfluids. We show that one can identify the different phases of the $p$-wave superfluid from the absorption spectrum. The absorption spectrum shows clear signatures of the existence of Majorana zero modes at the cores of vortices of the weakly pairing ${p}_{x}+i{p}_{y}$ phase.

DOI
10.1103/physrevb.76.104516

Related papers

Stability of the Singular Vortex and Associated Majorana Zero Modes in Trapped p-Wave Resonant Superfluids of Neutral Cold Atoms

Yasumasa Tsutsumi, Kazushige Machida

The stability conditions for the singular vortex which accompanies Majorana zero modes at the core are investigated for p-wave resonant superfluids of atomic Fermi gases. Within the Ginzburg-Landau framework we determine the stable conditions in the parameter space for the external rotation frequency and the harmonic trap frequency. There exists the narrow stable region in this parameter space for quasi-two-dimensional condensates. We also describe the detailed characterizations of the spatial structure of the order parameter in the chiral p-wave superfluids under rotation.

arXiv:0911.2964•Journal of the Physical Society of Japan•Mar 10, 2010•5 citations

Non-Abelian Majorana fermions in topological s-wave Fermi superfluids

L A Toikka

Abstract By solving the Bogoliubov–de Gennes equations analytically, we derive the fermionic zero-modes satisfying the Majorana property that exist in vortices of a two-dimensional s-wave Fermi superfluid with spin–orbit coupling and Zeeman spin-splitting. The Majorana zero-mode becomes normalisable and exponentially localised to the vicinity of the vortex core when the superfluid is topologically non-trivial. We calculate the energy splitting due to Majorana hybridisation and identify that the s-wave Majorana vortices obey non-Abelian statistics.

arXiv:1903.09131•New Journal of Physics•Oct 31, 2019•4 citations

Role of the Majorana Fermion and the Edge Mode in Chiral Superfluidity near a p -Wave Feshbach Resonance

Takeshi Mizushima, Masanori Ichioka, K. Machida

The visualization of chiral p-wave superfluidity in Fermi gases near p-wave Feshbach resonances is theoretically examined. It is proposed that the superfluidity becomes detectable in the entire BCS-BEC regimes through (i) vortex visualization by the density depletion inside the vortex core and (ii) intrinsic angular momentum in vortex-free states. It is revealed that both (i) and (ii) are closely connected with the Majorana zero energy mode of the vortex core and the edge mode, which survive until the strong coupling BCS regime is approached from the weak coupling limit and vanish in the Bose-Einstein condensation regime.

arXiv:0805.2204•Physical Review Letters•Oct 10, 2008•79 citations

Majorana modes and s -wave topological superfluids in ultracold fermionic atoms

Ya-Jie Wu, Ning Li, Jiang Zhou +2 more

Abstract We present another topological superfluid with s -wave pairing for ultracold fermionic atoms in addition to the chiral topological superfluid proposed by Sato et al (2009 Phys. Rev. Lett. 103 020401 ), of which edge dislocations host Majorana zero modes that may be utilized as decoherence-free qubits, and quantized vortices trap zero energy modes. The quantum phase fluctuations for topological superfluids and Berezinsky–Kosterlitz–Thouless transition are also discussed.

Journal of Physics B Atomic Molecular and Optical Physics•Aug 23, 2016•1 citation

Many-body \textit{T}-matrix theory of a strongly interacting spin-orbit coupled Fermi gas: Momentum-resolved radio-frequency spectroscopy and fermionic pairing

Hui Hu, Han Pu, Jing Zhang +1 more

Interacting Fermi gases with spin-orbit coupling are responsible for many intriguing phenomena such as topological superfluids and Majorana fermions. Here we characterize theoretically fermionic pairing in a strongly interacting spin-orbit coupled Fermi gas, by using momentum-resolved radio-frequency spectroscopy. We develop a strong-coupling $T$-matrix theory and present a phase diagram near the unitary resonance limit. A smooth transition from atomic to molecular responses in the momentum-resolved spectroscopy is predicted, with a clear signature of anisotropic pairing at and below resonance. Our prediction with many-body pairing can be directly tested in a spin-orbit coupled Fermi gas of $^{40}$K or $^{6}$Li atoms near broad Feshbach resonances.

arXiv:1302.0559•Feb 4, 2013•0 citations

Detecting π -phase superfluids with p -wave symmetry in a quasi-one-dimensional optical lattice

Bo Liu, Xiaopeng Li, Randall G. Hulet +1 more

We propose an experimental protocol to study $p$-wave superfluidity in a spin-polarized cold Fermi gas tuned by an $s$-wave Feshbach resonance. A crucial ingredient is to add a quasi-one-dimensional optical lattice and tune the fillings of two spins to the $s$ and $p$ band, respectively. The pairing order parameter is confirmed to inherit $p$-wave symmetry in its center-of-mass motion. We find that it can further develop into a state of unexpected $\ensuremath{\pi}$-phase modulation in a broad parameter regime. Experimental signatures are predicted in the momentum distributions, density of states, and spatial densities for a realistic experimental setup with a shallow trap. The $\ensuremath{\pi}$-phase $p$-wave superfluid is reminiscent of the $\ensuremath{\pi}$ state in superconductor-ferromagnet heterostructures but differs in symmetry and physical origin. The spatially varying phases of the superfluid gap provide an approach to synthetic magnetic fields for neutral atoms. It would represent another example of $p$-wave pairing, first discovered in $^{3}\mathrm{He}$ liquids.

arXiv:1505.08164•Physical Review A•Sep 2, 2016•13 citations
We study the superfluid phases of quasi-two-dimensional atomic Fermi gases interacting via a ppp-wave Feshbach resonance. We calculate the absorption spectra of these phases under a hyperfine transition for both nonrotating and rotating superfluids. We show that one can identify the different phases of the ppp-wave superfluid from the absorption spectrum. The absorption spectrum shows clear signatures of the existence of Majorana zero modes at the cores of vortices of the weakly pairing px+ipy{p}_{x}+i{p}_{y}px​+ipy​ phase.
The stability conditions for the singular vortex which accompanies Majorana zero modes at the core are investigated for p-wave resonant superfluids of atomic Fermi gases. Within the Ginzburg-Landau framework we determine the stable conditions in the parameter space for the external rotation frequency and the harmonic trap frequency. There exists the narrow stable region in this parameter space for quasi-two-dimensional condensates. We also describe the detailed characterizations of the spatial structure of the order parameter in the chiral p-wave superfluids under rotation.
Abstract By solving the Bogoliubov–de Gennes equations analytically, we derive the fermionic zero-modes satisfying the Majorana property that exist in vortices of a two-dimensional s-wave Fermi superfluid with spin–orbit coupling and Zeeman spin-splitting. The Majorana zero-mode becomes normalisable and exponentially localised to the vicinity of the vortex core when the superfluid is topologically non-trivial. We calculate the energy splitting due to Majorana hybridisation and identify that the s-wave Majorana vortices obey non-Abelian statistics.
The visualization of chiral p-wave superfluidity in Fermi gases near p-wave Feshbach resonances is theoretically examined. It is proposed that the superfluidity becomes detectable in the entire BCS-BEC regimes through (i) vortex visualization by the density depletion inside the vortex core and (ii) intrinsic angular momentum in vortex-free states. It is revealed that both (i) and (ii) are closely connected with the Majorana zero energy mode of the vortex core and the edge mode, which survive until the strong coupling BCS regime is approached from the weak coupling limit and vanish in the Bose-Einstein condensation regime.
Interacting Fermi gases with spin-orbit coupling are responsible for many intriguing phenomena such as topological superfluids and Majorana fermions. Here we characterize theoretically fermionic pairing in a strongly interacting spin-orbit coupled Fermi gas, by using momentum-resolved radio-frequency spectroscopy. We develop a strong-coupling TTT-matrix theory and present a phase diagram near the unitary resonance limit. A smooth transition from atomic to molecular responses in the momentum-resolved spectroscopy is predicted, with a clear signature of anisotropic pairing at and below resonance. Our prediction with many-body pairing can be directly tested in a spin-orbit coupled Fermi gas of 40^{40}40K or 6^{6}6Li atoms near broad Feshbach resonances.
We propose an experimental protocol to study ppp-wave superfluidity in a spin-polarized cold Fermi gas tuned by an sss-wave Feshbach resonance. A crucial ingredient is to add a quasi-one-dimensional optical lattice and tune the fillings of two spins to the sss and ppp band, respectively. The pairing order parameter is confirmed to inherit ppp-wave symmetry in its center-of-mass motion. We find that it can further develop into a state of unexpected $\ensuremath{\pi}$-phase modulation in a broad parameter regime. Experimental signatures are predicted in the momentum distributions, density of states, and spatial densities for a realistic experimental setup with a shallow trap. The $\ensuremath{\pi}$-phase ppp-wave superfluid is reminiscent of the $\ensuremath{\pi}$ state in superconductor-ferromagnet heterostructures but differs in symmetry and physical origin. The spatially varying phases of the superfluid gap provide an approach to synthetic magnetic fields for neutral atoms. It would represent another example of ppp-wave pairing, first discovered in 3He^{3}\mathrm{He}3He liquids.