Momentum-resolved radio-frequency spectroscopy of ultracold atomic Fermi gases in a spin-orbit-coupled lattice

Liu, Xia-Ji

doi:10.1103/physreva.86.033613

Cited by 7 publications

(5 citation statements)

References 26 publications

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“…Due to the rapid increasing literatures and the limit of space, we will not cover other important topics, such as SO-coupled fermions [17,44,80,[97][98][99][100][101][102][103][104][105][106][107][108][109], SO-coupled dipolar bosons [50,84] and proposals for experimental implementations [29][30][31][32][33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Unconventional states of bosons with the synthetic spin–orbit coupling

Zhou

Cai

et al. 2013

J. Phys. B: At. Mol. Opt. Phys.

171

140

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Spin-orbit coupling with bosons gives rise to novel properties that are absent in usual bosonic systems. Under very general conditions, the conventional ground state wavefunctions of bosons are constrained by the "no-node" theorem to be positive-definite. In contrast, the linear-dependence of spin-orbit coupling leads to complex-valued condensate wavefunctions beyond this theorem. In this article, we review the study of this class of unconventional Bose-Einstein condensations focusing on their topological properties. Both the 2D Rashba and 3D σ · p-type Weyl spin-orbit couplings give rise to Landau-level-like quantization of single-particle levels in the harmonic trap. The interacting condensates develop the half-quantum vortex structure spontaneously breaking time-reversal symmetry and exhibit topological spin textures of the skyrmion type. In particular, the 3D Weyl coupling generates topological defects in the quaternionic phase space as an SU(2) generalization of the usual U(1) vortices. Rotating spin-orbit coupled condensates exhibit rich vortex structures due to the interplay between vorticity and spin texture. In the Mott-insulating states in optical lattices, quantum magnetism is characterized by the Dzyaloshinskii-Moriya type exchange interactions.

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Section: Introductionmentioning

confidence: 99%

Unconventional states of bosons with the synthetic spin–orbit coupling

Zhou

Cai

et al. 2013

J. Phys. B: At. Mol. Opt. Phys.

171

140

View full text Add to dashboard Cite

show abstract

“…For this purpose, we have employed a T -matrix formalism based 2 Theoretical predictions for RF spectroscopy of single spin-orbit coupled bound fermion pair and of noninteracting spin-orbit coupled Fermi gas have been reported in Ref. [52]. Recently, the RF spectroscopy of equal Rashba and Dresselhaus spin-orbit coupled Fermi gases has been studied experimentally and theoretically in Ref.…”

Section: Discussionmentioning

confidence: 99%

BCS-BEC crossover at finite temperature in spin-orbit-coupled Fermi gases

Huang²,

Hu³

et al. 2013

Phys. Rev. A

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By adopting a T -matrix-based method within the G 0 G approximation for the pair susceptibility, we study the effects of the pairing fluctuation on the three-dimensional spin-orbit-coupled Fermi gases at finite temperature. The critical temperatures of the superfluid to normal phase transition are determined for three different types of spin-orbit coupling (SOC): (1) the extreme oblate (EO) or Rashba SOC, (2) the extreme prolate or equal Rashba-Dresselhaus SOC, and (3) the spherical (S) SOC. For EO-and S-type SOC, the SOC dependence of the critical temperature signals a crossover from BCS to BEC state; at strong SOC limit, the critical temperature recovers those of ideal BEC of rashbons. The pairing fluctuation induces a pseudogap in the fermionic excitation spectrum in both superfluid and normal phases. We find that, for EO-and S-type SOC, even at weak coupling, sufficiently strong SOC can induce sizable pseudogap. Our research suggests that the spin-orbit-coupled Fermi gases may open new means to the study of the pseudogap formation in fermionic systems. PHYSICAL REVIEW A 87, 053616 (2013) 1 The interaction range r 0 is about 3.2 nm for 40 K [41] and 2.1 nm for 6 Li [42]. Thus for these atoms when k F ,mλ 0.1 nm −1 the dilute condition may be violated. In a Shanxi University experiment [19], mλ = 0.008 nm −1 and k F varies from 0.9mλ to 1.8mλ; in a MIT experiment [20], mλ = 0.003 nm −1 and k F varies about mλ. In both experiments, the dilute conditions are well satisfied. 053616-2

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“…The single-particle problem in a uniform system has been discussed in detail in our previous work [27,30]. Here, for selfcontainment we summarize briefly the results.…”

Section: A Single-particle Solutionmentioning

confidence: 92%

“…For convenience, the effective Zeeman field h ≡ R /2 and the SOcoupling strength λ ≡h 2 k R /m are introduced. This singleparticle Hamiltonian (15) can be easily diagonalized to yield two eigenvalues [27,30],…”

Section: A Single-particle Solutionmentioning

confidence: 99%

“…Figure 4 reports the momentum-resolved rf spectroscopy of the atomic component for different values of the Zeeman field and interaction strength. Here, we define K x = k x − k R to make sure the spectra is a symmetric function of K x in the absence of SO coulping [30]. As we anticipate, there are two branches in which one is relatively weaker than the other one.…”

Section: Fig 4 (Color Online)mentioning

confidence: 99%

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Momentum-resolved radio-frequency spectroscopy of a spin-orbit-coupled atomic Fermi gas near a Feshbach resonance in harmonic traps

Peng

Liu²,

Hu³

et al. 2012

Phys. Rev. A

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We theoretically investigate the momentum-resolved radio-frequency spectroscopy of a harmonically trapped atomic Fermi gas near a Feshbach resonance in the presence of equal Rashba and Dresselhaus spin-orbit coupling. The system is qualitatively modeled as an ideal gas mixture of atoms and molecules, in which the properties of molecules, such as the wave function, binding energy, and effective mass, are determined from the two-particle solution of two interacting atoms. We calculate separately the radio-frequency response from atoms and molecules at finite temperatures by using the standard Fermi golden rule and take into account the effect of harmonic traps within local density approximation. The total radio-frequency spectroscopy is discussed as functions of temperature and spin-orbit coupling strength. Our results give a qualitative picture of radio-frequency spectroscopy of a resonantly interacting spin-orbit-coupled Fermi gas and can be directly tested in atomic Fermi gases of 40 K atoms at Shanxi University and 6 Li atoms at the Massachusetts Institute of Technology.

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Momentum-resolved radio-frequency spectroscopy of ultracold atomic Fermi gases in a spin-orbit-coupled lattice

Cited by 7 publications

References 26 publications

Unconventional states of bosons with the synthetic spin–orbit coupling

Unconventional states of bosons with the synthetic spin–orbit coupling

BCS-BEC crossover at finite temperature in spin-orbit-coupled Fermi gases

Momentum-resolved radio-frequency spectroscopy of a spin-orbit-coupled atomic Fermi gas near a Feshbach resonance in harmonic traps

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