Spin-nematic order in antiferromagnetic spinor condensates

Zibold, Tilman; Corre, Vincent; Frapolli, Camille; Invernizzi, Andrea; Dalibard, Jean; Gerbier, Fabrice

doi:10.1103/physreva.93.023614

Cited by 44 publications

(56 citation statements)

References 46 publications

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“…In deriving the expressions for the linear mode velocities we made use of the relation lim k→0 g α (k) = 3/2. Furthermore, given that c 0 > c 2 > 0 for 23 Na, the corresponding velocities for mode 1 are larger than those for mode 2, that is, c 1x > c 2x and c 1y > c 2y , as can be seen also in Figs. 3a and 3b of the main text.…”

Section: Bogoliubov Spectrum Of Easy-plane Nematic Phase In the Singlsupporting

confidence: 52%

“…Yet a comprehensive experimental framework linking these two disparate regimes of spin physics in ultracold gases has been lacking. In part, this is due to the fact that some of the richest behavior in spinor gases involves the dynamics of spin-nematic phases [14][15][16][17][18][19][20][21][22][23][24][25][26]. These phases are special because they have a vanishing total magnetization vector F = 0 and their order parameter is tensorial.…”

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confidence: 99%

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Nematic-Orbit Coupling and Nematic Density Waves in Spin-1 Condensates

2020

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We propose the creation of artificial nematic-orbit coupling in spin-1 Bose-Einstein condensates, in analogy to spin-orbit coupling. Using a suitably designed microwave chip the quadratic Zeeman shift, normally uniform in space, can be made to be spatially varying, leading to a coupling between spatial and nematic degrees of freedom. A phase diagram is explored where three quantum phases of the nematic order emerge: easy-axis, easy-plane with single-well and easy-plane with double well structure in momentum space. By including spin-dependent and spin-independent interactions, we also obtain completely the low energy excitation spectra in these three phases. Lastly, we show that the nematic-orbit coupling leads to commensurate and incommensurate nematic density waves in relation to the period λT of the cosinusoidal quadratic Zeeman term. Our results point to the rich possibilities for manipulation of tensorial degrees of freedom in ultracold gases without requiring Raman lasers, and therefore, obviating light-scattering induced heating.

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Section: Bogoliubov Spectrum Of Easy-plane Nematic Phase In the Singlsupporting

confidence: 52%

mentioning

confidence: 99%

Nematic-Orbit Coupling and Nematic Density Waves in Spin-1 Condensates

2020

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“…The ability to tune the quadratic Zeeman field across the nematic transition in the weak coupling limit implies such a transition can also be studied here. A clear cut signature of the spin liquid regime would be given by the difference in nematic expectation values [66] vanishing linearly with decreasing quadratic Zeeman field (as in Fig. 4).…”

Section: Discussionmentioning

confidence: 95%

Strongly interacting spin-orbit coupled Bose-Einstein condensates in one dimension

Saha

König

Lee

et al. 2020

Phys. Rev. Research

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We theoretically study dilute superfluidity of spin-1 bosons with antiferromagnetic interactions and synthetic spin-orbit coupling (SOC) in a one-dimensional lattice. Employing a combination of density matrix renormalization group and quantum field theoretical techniques we demonstrate the appearance of a robust superfluid spin-liquid phase in which the spin-sector of this spinor Bose-Einstein condensate remains quantum disordered even after introducing quadratic Zeeman and helical magnetic fields. Despite remaining disordered, the presence of these symmetry breaking fields lifts the perfect spin-charge separation and thus the nematic correlators obey power-law behavior. We demonstrate that, at strong coupling, the SOC induces a charge density wave state that is not accessible in the presence of linear and quadratic Zeeman fields alone. In addition, the SOC induces oscillations in the spin and nematic expectation values as well as the bosonic Green's function. These non-trivial effects of a SOC are suppressed under the application of a large quadratic Zeeman field. We discuss how our results could be observed in experiments on ultracold gases of 23 Na in an optical lattice. arXiv:1912.06142v1 [cond-mat.quant-gas]

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“…The S = 1 case is of particular relevance to BECs with a ground-state hyperfine structure with three hyperfine states, such as 87 Rb. The spin texture we consider is |ψ(x) = e i(f (x)+g(x)u·S) |ψ 0 , where S = (S x , S y , S z ) are S = 1 spin matrices 51 . We note that any spin texture of this form satisfies [∇G(x), G(x)] = 0.…”

Section: Generalization With Spin-1 Examplementioning

confidence: 99%

Skyrmion quantum spin Hall effect

Chen

Byrnes

2019

Phys. Rev. B

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The quantum spin Hall effect is conventionally thought to require a strong spin-orbit coupling, producing an effective spin-dependent magnetic field. However, spin currents can also be present without transport of spins, for example, in spin-waves or skyrmions. In this paper, we show that topological skyrmionic spin textures can be used to realize a quantum spin Hall effect. From basic arguments relating to the single-valuedness of the wave function, we deduce that loop integrals of the derivative of the Hamiltonian must have a spectrum that is integer multiples of 2π. By relating this to the spin current, we form a new quantity called the quantized spin current which obeys a precise quantization rule. This allows us to derive a quantum spin Hall effect, which we illustrate with an example of a spin-1 Bose-Einstein condensate.

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Spin-nematic order in antiferromagnetic spinor condensates

Cited by 44 publications

References 46 publications

Nematic-Orbit Coupling and Nematic Density Waves in Spin-1 Condensates

Nematic-Orbit Coupling and Nematic Density Waves in Spin-1 Condensates

Strongly interacting spin-orbit coupled Bose-Einstein condensates in one dimension

Skyrmion quantum spin Hall effect

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