Traveling Majorana Solitons in a Low-Dimensional Spin-Orbit-Coupled Fermi Superfluid

Zou, Peng; Brand, Joachim; Liu, Xia-Ji; Hu, Hui

doi:10.1103/physrevlett.117.225302

Cited by 18 publications

(12 citation statements)

References 49 publications

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“…Dark solitons have been predicted [14][15][16][17][18][19] and observed [20] in the crossover regime. In one-dimensional (1D) Fermi superfluids with strong spin-orbit coupling, dark solitons have been predicted to carry Majorana fermions as quasiparticles [21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Dark-soliton-like excitations in the Yang–Gaudin gas of attractively interacting fermions

Shamailov¹,

Brand²

2016

New J. Phys.

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Yrast states are the lowest energy states at given non-zero momentum and provide a natural extension of the concept of dark solitons to strongly interacting one-dimensional quantum gases. Here we study the yrast states of the balanced spin-1 2 Fermi gas with attractive delta-function interactions in onedimension with the exactly solvable Yang-Gaudin model. The corresponding Bethe-ansatz equations are solved for finite particle number and in the thermodynamic limit. Properties corresponding to the soliton-like nature of the yrast excitations are calculated including the missing particle number, phase step, and inertial and physical masses. The inertial to physical mass ratio, which is related to the frequency of oscillations in a trapped gas, is found to be unity in the limits of strong and weak attraction and falls to »0.78 in the crossover regime. This result is contrasted by one-dimensional mean field theory, which predicts a divergent mass ratio in the weakly attractive limit. By means of an exact mapping our results also predict the existence and properties of dark-soliton-like excitations in the super Tonks-Girardeau gas. The prospects for experimental observations are briefly discussed. I P trap 2where w trap is the frequency of the harmonic trapping potential. The mass ratio m I /m P is a non-trivial characteristic of the underlying many-body physics of the medium. For (tightly confined) atomic BECs the ratio

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Section: Introductionmentioning

confidence: 99%

Dark-soliton-like excitations in the Yang–Gaudin gas of attractively interacting fermions

Shamailov¹,

Brand²

2016

New J. Phys.

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“…The ability to utilize an effective two-band (2 × 2) theory for describing superfluidity in the 2D spin-split Fermi gas opens up the opportunity to explore in greater detail suggested analogies with chiral-p-wave pairing [9]. In particular, based on the demonstrated accuracy of the projected 2 × 2 approach for the case of uniform systems, we expect this formalism to also be effective for describing situations with non-uniform order-parameter configurations [39][40][41] or in the presence of disorder [42,43]. These scenarios are interesting because they offer possibilities to create and manipulate exotic Majorana excitations spatially [12,30] or temporally [40].…”

Section: Discussionmentioning

confidence: 99%

Accurate projective two-band description of topological superfluidity in spin-orbit-coupled Fermi gases

2018

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The interplay of spin-orbit coupling and Zeeman splitting in ultracold Fermi gases gives rise to a topological superfluid phase in two spatial dimensions that can host exotic Majorana excitations. Theoretical models have so far been based on a four-band Bogoliubov-de Gennes formalism for the combined spin-1/2 and particle-hole degrees of freedom. Here we present a simpler, yet accurate, two-band description based on a well-controlled projection technique that provides a new platform for exploring analogies with chiral p-wave superfluidity and detailed future studies of spatially non-uniform situations.

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“…We also find that these Weyl solitons may travel along the surface without notable deformations, featuring extremely low radiation loss. The Weyl solitons, after the very recently reported Dirac solitons [36] and Majorana solitons [37], are the third and also the last member in the family of topological solitons, finally hosting a reunion in nonlinear physics.…”

Section: Introductionmentioning

confidence: 99%

Weyl solitons in three-dimensional optical lattices

2018

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Weyl fermions are massless chiral quasiparticles existing in materials known as Weyl semimetals. Topological surface states, associated with the unusual electronic structure in the Weyl semimetals, have been recently demonstrated in linear systems. Ultracold atomic gases, featuring laser-assisted tunneling in three-dimensional optical lattices, can be used for the emulation of Weyl semimetals, including nonlinear effects induced by the collisional nonlinearity of atomic Bose-Einstein condensates. We demonstrate that this setting gives rise to topological states in the form of Weyl solitons at the surface of the underlying optical lattice. These nonlinear modes, being exceptionally robust, bifurcate from linear states for a given quasi-momentum. The Weyl solitons may be used to design an efficient control scheme for topologically-protected unidirectional propagation of excitations in light-matter-interaction physics. After the recently introduced Majorana and Dirac solitons, the Weyl solitons proposed in this work constitute the third (and the last) member in this family of topological solitons.

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Traveling Majorana Solitons in a Low-Dimensional Spin-Orbit-Coupled Fermi Superfluid

Cited by 18 publications

References 49 publications

Dark-soliton-like excitations in the Yang–Gaudin gas of attractively interacting fermions

Dark-soliton-like excitations in the Yang–Gaudin gas of attractively interacting fermions

Accurate projective two-band description of topological superfluidity in spin-orbit-coupled Fermi gases

Weyl solitons in three-dimensional optical lattices

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