Spin Dynamics of a Trapped Spin-1 Bose Gas above the Bose-Einstein Transition Temperature

Endo, Yuichi; Nikuni, Tetsuro

doi:10.1007/s10909-008-9802-x

Cited by 16 publications

(39 citation statements)

References 38 publications

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“…To understand the observed spin dynamics quantitatively, we model the Na condensate with the timedependent Gross-Pitaevskii equation [20,36] and the thermal Rb cloud with the kinetic equation for the Wigner distribution function [39,40]. The dynamics of the two species are coupled through the interaction in Eq.…”

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confidence: 99%

Coherent Heteronuclear Spin Dynamics in an Ultracold Spinor Mixture

Zhu

et al. 2015

Phys. Rev. Lett.

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We report the observation of coherent heteronuclear spin dynamics driven by inter-species spinspin interaction in an ultracold spinor mixture, which manifests as periodical and well correlated spin oscillations between two atomic species. In particular, we investigate the magnetic field dependence of the oscillations and find a resonance behavior which depends on both the linear and quadratic Zeeman effects and the spin-dependent interaction. We also demonstrate a unique knob for controlling the spin dynamics in the spinor mixture with species-dependent vector light shifts. Our finds are in agreement with theoretical simulations without any fitting parameters.

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confidence: 99%

Coherent Heteronuclear Spin Dynamics in an Ultracold Spinor Mixture

Zhu

et al. 2015

Phys. Rev. Lett.

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“…Bosonic and fermionic alkali pseudo-spin-1/2 systems have also been studied [13][14][15], and spin domain formation has been observed in these systems [16][17][18]. Due to the spindependent interaction that is absent in the pseudo-spin-1/2 system, a spin-1 gas is predicted to have additional interesting coherent collisional (spinor) dynamics which give rise to spin waves or population oscillations [19,20].The dynamics of spinor BECs have been widely investigated in spin-1 Na and Rb gases, as reviewed in Refs. [21,22].…”

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confidence: 99%

“…This transport equation was obtained previously in [19,20] and details of its derivation can be found there. We do not include the collision integral, which has the role of describing damping.…”

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confidence: 99%

Spinor Dynamics in an Antiferromagnetic Spin-1 Thermal Bose Gas

et al. 2013

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We present experimental observations of coherent spin-population oscillations in a cold thermal, Bose gas of spin-1 23 Na atoms. The population oscillations in a multi-spatial-mode thermal gas have the same behavior as those observed in a single-spatial-mode antiferromagnetic spinor Bose Einstein condensate. We demonstrate this by showing that the two situations are described by the same dynamical equations, with a factor of two change in the spin-dependent interaction coefficient, which results from the change to particles with distinguishable momentum states in the thermal gas. We compare this theory to the measured spin population evolution after times up to a few hundreds of ms, finding quantitative agreement with the amplitude and period. We also measure the damping time of the oscillations as a function of magnetic field.Although Bose-Einstein condensates (BECs) are often thought of for sensitive measurements, their spatial coherence is not always necessary. Thermal atomic collisions are often mistakenly thought to be incoherent but, while keeping track of the spatial coherence is difficult, coherence can sometimes more easily be followed in the internal degrees of freedom. Thus, cold thermal clouds are often just as sensitive for use in spin measurements. In this work, we demonstrate collisionally-driven coherent spin population oscillations that can be interpreted as zero-momentum spin waves in a cold thermal cloud of spin-1 atoms. Such oscillations were previously only seen in the context of BECs [1-5] and two-atom, singlespatial-mode systems [6,7]. The spin oscillations that we observe in a highly multi-spatial-mode thermal gas are remarkable in that they can be described by a theory that is independent of the spatial degrees of freedom.Well-known examples of thermal spin systems that preserve internal spin states include optically-pumped dilute gases used for magnetometry [8] and spin-polarized noble gas imaging [9]. The spin polarization can be maintained even while the gas is trapped in glass cells, or by living tissues like lungs. Hydrogen masers are based on interrogating the free precession of a spin superposition of a thermal gas in a glass cell. Less well-known, collisionally-driven spin-wave effects were predicted in 1982 [10,11], and observations of such effects were reported soon thereafter in low-temperature spin-polarized hydrogen [12]. Bosonic and fermionic alkali pseudo-spin-1/2 systems have also been studied [13][14][15], and spin domain formation has been observed in these systems [16][17][18]. Due to the spindependent interaction that is absent in the pseudo-spin-1/2 system, a spin-1 gas is predicted to have additional interesting coherent collisional (spinor) dynamics which give rise to spin waves or population oscillations [19,20].The dynamics of spinor BECs have been widely investigated in spin-1 Na and Rb gases, as reviewed in Refs. [21,22]. Rb in the F = 1 state is ferromagnetic (spin-aligned collisions having the lowest energy), whereas Na is considered antiferromagnetic. Both o...

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“…There are a number of literatures related to the early stage of spin evolution [16][17][18][19][20][21][22][23]. Starting from an initial state | 0 , the system will evolve as (t) = e −i(H +H B )ωt | 0 .…”

Section: Temperature-dependent Hyperfine Populations and Their Oscillmentioning

confidence: 99%

A 2-Level Condensate with Tunable and Sharp Susceptibility Against the Magnetic Field

Yao

et al. 2015

J Low Temp Phys

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A 2-level condensate of spin-1 Na atoms under a magnetic field B with its spin modes decoupled from its spatial modes is studied. This system can emerge at very low temperature by putting an atom with its spin down into a fully polarized condensate with all N −1 spins up, similar to embedding an impurity into a well-organized system. The most distinguished feature of this 2-level system is that it is inert to B in general, but extremely sensitive to B in a specific domain D-o-S around B 0 at which the energy gap between the two levels arrives at a minimum. Population oscillations are found and the underlying regularity is clarified and described by simple formulae. Therefore, the inherent dynamic parameters of the condensate can be known via the measurement of the population. The experimental condition that such a system can exist has been evaluated. Furthermore, there is a characteristic constant γ = 0.278466 common to various 2-level systems. This constant provides a common upper bound γ k B T for the internal energy U of all these systems.Keywords Two-level condensates · Cold sodium atoms · Fidelity susceptibility · Condensates at a temperature close to zero · Fully polarized condensate with an impurity

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Spin Dynamics of a Trapped Spin-1 Bose Gas above the Bose-Einstein Transition Temperature

Cited by 16 publications

References 38 publications

Coherent Heteronuclear Spin Dynamics in an Ultracold Spinor Mixture

Coherent Heteronuclear Spin Dynamics in an Ultracold Spinor Mixture

Spinor Dynamics in an Antiferromagnetic Spin-1 Thermal Bose Gas

A 2-Level Condensate with Tunable and Sharp Susceptibility Against the Magnetic Field

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