Bound states of two spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:math>fermions in a synthetic non-Abelian gauge field

Vyasanakere, Jayantha P.; Shenoy, Vijay B.

doi:10.1103/physrevb.83.094515

Cited by 135 publications

(184 citation statements)

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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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“…Because few-body processes constitute the basic building blocks of an interacting many-body system, important physical insights can be gleaned by careful examinations of few-body problems. While previous studies entailed investigation of the effects of SOC on two-body scattering processes with short-range potentials in various spatial dimensions [18][19][20][21], interesting SOC-induced twoand three-body bound states have also been reported recently [22][23][24]. Furthermore, because SOC is expected to induce topologically nontrivial phases in spatial dimensions lower than three [25], the study of few-body problems in quasi-low spatial dimensions may shed light on the possibility of generating topological matter.…”

Section: Introductionmentioning

confidence: 99%

Two-body physics in quasi-low-dimensional atomic gases under spin–orbit coupling

Wang

Zhang

2016

Front. Phys.

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One of the most dynamic directions in ultracold atomic gas research is the study of low-dimensional physics in quasi-low-dimensional geometries, where atoms are confined in strongly anisotropic traps. Recently, interest has significantly intensified with the realization of synthetic spin-orbit coupling (SOC). As a first step toward understanding the SOC effect in quasi-low-dimensional systems, the solution of two-body problems in different trapping geometries and different types of SOC has attracted great attention in the past few years. In this review, we discuss both the scattering-state and the bound-state solutions of two-body problems in quasi-one and quasi-two dimensions. We show that the degrees of freedom in tightly confined dimensions, in particular with the presence of SOC, may significantly affect system properties. Specifically, in a quasi-one-dimensional atomic gas, a one-dimensional SOC can shift the positions of confinement-induced resonances whereas, in quasitwo-dimensional gases, a Rashba-type SOC tends to increase the two-body binding energy, such that more excited states in the tightly confined direction are occupied and the system is driven further away from a purely two-dimensional gas. The effects of the excited states can be incorporated by adopting an effective low-dimensional Hamiltonian having the form of a two-channel model. With the bare parameters fixed by two-body solutions, this effective Hamiltonian leads to qualitatively different many-body properties compared to a purely low-dimensional model.

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“…Our work builds on the observation [8][9][10][11][12][13] that in the presence of Rashba SOC, pairing (in the form of pseudogap effects [14,15]) is significantly enhanced. For this reason (and because the correlation functions are free of the complications of collective mode effects) we focus here on the anomalous normal phase.…”

mentioning

confidence: 99%

Signatures of pairing and spin-orbit coupling in correlation functions of Fermi gases

Anderson

Boyack

et al. 2015

Phys. Rev. B

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We derive expressions for density-density and spin-spin correlation functions in the (greatly enhanced) pseudogap phase of spin-orbit coupled Fermi gases. Density-density correlation functions are found to be relatively insensitive to the presence of these Rashba spin-orbit effects. To arrive at spin-spin correlation functions we derive new f -sum rules, valid even in the absence of a spin conservation law. Our spin-spin correlation functions are shown to be fully consistent with these f -sum rules. Importantly, they provide a clear signature of the Rashba band-structure and separately help to establish the presence of a pseudogap.

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Bound states of two spin-12fermions in a synthetic non-Abelian gauge field

Cited by 135 publications

References 19 publications

Light-induced gauge fields for ultracold atoms

Light-induced gauge fields for ultracold atoms

Two-body physics in quasi-low-dimensional atomic gases under spin–orbit coupling

Signatures of pairing and spin-orbit coupling in correlation functions of Fermi gases

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