Validity of a single-channel model for a spin-orbit-coupled atomic Fermi gas near Feshbach resonances

Cui, Jingxin; Liu, Xia-Ji; Long, Gui Lu; Hu, Hui

doi:10.1103/physreva.86.053628

Cited by 11 publications

(8 citation statements)

References 43 publications

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“…Implementation of the 2D or 3D Rashba SOC would allow for the study of rich ground state physics proposed in systems of manybody fermions [56,218,[221][222][223][224][225][226][227][228][229][230][231] and bosons [130,165,219,[232][233][234][235][236][237][238][239][240][241], of which many properties have no solid-state physics analogue. This will be considered in the next Section.…”

Section: Experimental Realisation Of Spin-orbit Couplingmentioning

confidence: 99%

Light-induced gauge fields for ultracold atoms

et al. 2014

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Abstract. Gauge fields are central in our modern understanding of physics at all scales. At the highest energy scales known, the microscopic universe is governed by particles interacting with each other through the exchange of gauge bosons. At the largest length scales, our universe is ruled by gravity, whose gauge structure suggests the existence of a particle -the graviton-that mediates the gravitational force. At the mesoscopic scale, solid-state systems are subjected to gauge fields of different nature: materials can be immersed in external electromagnetic fields, but they can also feature emerging gauge fields in their low-energy description. In this review, we focus on another kind of gauge field: those engineered in systems of ultracold neutral atoms. In these setups, atoms are suitably coupled to laser fields that generate effective gauge potentials in their description. Neutral atoms "feeling" laser-induced gauge potentials can potentially mimic the behavior of an electron gas subjected to a magnetic field, but also, the interaction of elementary particles with non-Abelian gauge fields. Here, we review different realized and proposed techniques for creating gauge potentials -both Abelian and non-Abelian -in atomic systems and discuss their implication in the context of quantum simulation. While most of these setups concern the realization of background and classical gauge potentials, we conclude with more exotic proposals where these synthetic fields might be made dynamical, in view of simulating interacting gauge theories with cold atoms.arXiv:1308.6533v3 [cond-mat.quant-gas]

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Section: Experimental Realisation Of Spin-orbit Couplingmentioning

confidence: 99%

Light-induced gauge fields for ultracold atoms

et al. 2014

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“…Similarly, trapped onedimensional spin-orbit-coupled systems are predicted to support Majorana fermions at their boundary [13][14][15]. A large body of theoretical work focuses on the essential two-body physics of a Feshbach resonance in the presence of spin-orbit coupling and the resulting modification of the BEC-BCS crossover [16][17][18][19][20][21][22][23]. To date, spin-orbit coupling has been experimentally realized in both Bose gases [24][25][26] and Fermi gases [27,28].…”

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confidence: 99%

Raman-Induced Interactions in a Single-Component Fermi Gas Near ans-Wave Feshbach Resonance

et al. 2013

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Ultracold gases of interacting spin-orbit-coupled fermions are predicted to display exotic phenomena such as topological superfluidity and its associated Majorana fermions. Here, we experimentally demonstrate a route to strongly interacting single-component atomic Fermi gases by combining an s-wave Feshbach resonance (giving strong interactions) and spin-orbit coupling (creating an effective p-wave channel). We identify the Feshbach resonance by its associated atomic loss feature and show that, in agreement with our single-channel scattering model, this feature is preserved and shifted as a function of the spin-orbit-coupling parameters.

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“…From the extrema conditions ∂Ω/∂f = 0, ∂Ω/∂p = 0, ∂Ω/∂ψ m = 0, and the number equation N = −∂Ω/∂µ, we have a set of self-consistent equations [41]:…”

Section: Manby-body Pairing Statesmentioning

confidence: 99%

“…Recently, there have been several studies using twochannel models for the characterization of spin-orbit coupled Fermi gases near a Feshbach resonance [40][41][42][43]. A particularly interesting finding is that the SOC can induce a new branch of two-body bound state.…”

Section: Introductionmentioning

confidence: 99%

“…While on a phenomenological level, a twochannel model is more appropriate, where the Feshbach resonance is described as a multi-channel resonant scattering process when the bound state in a closed channel is tuned close to the continuum threshold of an open channel [44]. The two-channel model reduces to a single- * Electronic address: wzhangl@ruc.edu.cn † Electronic address: wyiz@ustc.edu.cn channel model only when the population of the closed channel molecule becomes negligible, which is not always the case, particularly under SOC [40,41].…”

Section: Introductionmentioning

confidence: 99%

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BCS-BEC crossover and quantum phase transition in an ultracold Fermi gas under spin-orbit coupling

Zhang

Deng

et al. 2014

Phys. Rev. A

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In this work, we study the BCS-BEC crossover and quantum phase transition in a Fermi gas under Rashba spin-orbit coupling close to a Feshbach resonance. By adopting a two-channel model, we take into account of the closed channel molecules, and show that combined with spin-orbit coupling, a finite background scattering in the open channel can lead to two branches of solution for both the two-body and the many-body ground states. The branching of the two-body bound state solution originates from the avoided crossing between bound states in the open and the closed channels, respectively. For the many-body states, we identify a quantum phase transition in the upper branch regardless of the sign of the background scattering length, which is in clear contrast to the case without spin-orbit coupling. For systems with negative background scattering length in particular, we show that the bound state in the open channel, and hence the quantum phase transition in the upper branch, are induced by spin-orbit coupling. We then characterize the critical detuning of the quantum phase transition for both positive and negative background scattering lengths, and demonstrate the optimal parameters for the critical point to be probed experimentally.

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Validity of a single-channel model for a spin-orbit-coupled atomic Fermi gas near Feshbach resonances

Cited by 11 publications

References 43 publications

Light-induced gauge fields for ultracold atoms

Light-induced gauge fields for ultracold atoms

Raman-Induced Interactions in a Single-Component Fermi Gas Near ans-Wave Feshbach Resonance

BCS-BEC crossover and quantum phase transition in an ultracold Fermi gas under spin-orbit coupling

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