Trapping Atoms With Radio Frequency Adiabatic Potentials

Perrin, Hélène; Garraway, B. M.

doi:10.1016/bs.aamop.2017.03.002

Cited by 41 publications

(78 citation statements)

References 93 publications

(128 reference statements)

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“…). While our transition amplitudes agree with [31] for first and second order, they differ for third order and higher.…”

Section: Single Rf-circular Polarizationsupporting

confidence: 43%

“…The FWHM of this transition is 1 kHz and we have verified that it is indeed sixth order by varying the Rabi frequency and observing the expected shift in the transition frequency. Only the first-order resonances and the resonance at 2 rf w + W have been observed in previous work [31,37].…”

Section: Single Rfmentioning

confidence: 68%

“…In [31], ith-order transitions at frequencies i i , c c rf w W W were also predicted and their strengths calculated only for specific polarizations of the probe field, and by taking a second RWA. In contrast, our method makes no such approximations, and our results differ accordingly: for arbitrary polarizations of the probe field, additional resonances appear, e.g.…”

Section: Single Rf-circular Polarizationmentioning

confidence: 99%

“…In turn, this has resulted in the theoretical framework presented here, which is applicable to a wide range of systems dressed by multiple frequencies. Transitions in atoms in RF-dressed potentials have been calculated in previous work, though restricted to a single dressing frequency [29][30][31]. Moreover, only first-order transitions were considered in [29,30] and higher-order transitions were calculated only for selected polarizations in [31].…”

Section: Introductionmentioning

confidence: 99%

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Probing multiple-frequency atom-photon interactions with ultracold atoms

et al. 2019

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We dress atoms with multiple-radiofrequency (RF) fields and investigate the spectrum of transitions driven by an additional probe field. A complete theoretical description of this rich spectrum is presented, in which we find allowed transitions and determine their amplitudes using the resolvent formalism. Experimentally, we observe transitions up to sixth order in the probe field using RF spectroscopy of Bose-Einstein condensates trapped in single-and multiple-RF-dressed potentials. We find excellent agreement between theory and experiment, including the prediction and verification of previously unobserved transitions, even in the single-RF case.

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“…). While our transition amplitudes agree with [31] for first and second order, they differ for third order and higher.…”

Section: Single Rf-circular Polarizationsupporting

confidence: 43%

Section: Single Rfmentioning

confidence: 68%

Section: Single Rf-circular Polarizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Probing multiple-frequency atom-photon interactions with ultracold atoms

et al. 2019

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“…Here, we take advantage of the smoothness and the weak anharmonicity of this trap to prepare a dynamical ring. Rotational invariance is critical to this aim, and is ensured at the 10 −3 level by a fine tuning of the dressing field polarization and of the static magnetic field gradients [29]. The trapping frequencies at the bottom of the shell in the harmonic approximation are ω z = 2π × 356.5(2) Hz in the vertical direction and ω r = 2π × 33.70(4) Hz in the horizontal plane, without measurable in-plane anisotropy.…”

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confidence: 99%

Supersonic Rotation of a Superfluid: A Long-Lived Dynamical Ring

et al. 2020

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We present the experimental realization of a long-lived superfluid flow of a quantum gas rotating in an anharmonic potential, sustained by its own angular momentum. The gas is set into motion by rotating an elliptical deformation of the trap. An evaporation selective in angular momentum yields an acceleration of rotation until the density vanishes at the trap center, resulting in a dynamical ring with 350 angular momentum per particle. The density profile of the ring corresponds to the one of a quasi two-dimensional superfluid, with a linear velocity reaching Mach 18 and a rotation lasting more than a minute.Superfluidity is a rich quantum dynamical phenomenon first observed in low temperature helium that also occurs for interacting degenerate gases [1]. Among its most striking manifestations are the existence of a critical velocity for the creation of excitations [2] and the appearance of quantized vortices when set into rotation, as has been observed in liquid helium [3] and in dilute Bose-Einstein condensates (BEC) [4,5].Because of a formal analogy between the two Hamiltonians, a neutral gas in rotation is a natural candidate to simulate a quantum system of charged particles in a magnetic field, relevant for condensed matter problems such as type II superconductors or the quantum Hall effect [6,7]. For a quantum gas confined in a harmonic trap of radial frequency ω r and rotating at angular frequency Ω approaching ω r , the ground state of the system reaches the atomic analog of the Lowest Landau Level (LLL) relevant in the quantum Hall regime [8][9][10]. The LLL has been reached for a dilute BEC [11] rotating at Ω = 0.993 ω r where dynamical properties of the system are modified compared with the mean-field regime.For rotation rates even closer to ω r , the formation of highly correlated states is predicted, similar to the ones involved in the fractional quantum Hall regime, such as Laughlin states [12] or Moore-Read states [13]. Reaching these fast rotation rates is experimentally challenging in a harmonic trap because the radial effective trapping potential in the rotating frame vanishes due to the centrifugal force. To circumvent this limit, higher-order confining potentials have been developed [14], which allow to access the regime where Ω even exceeds ω r . Although the experimental study of highly correlated states seems very challenging [15][16][17], fast rotation in a two-dimensional harmonic-plus-quartic trap opens new physical regimes and has attracted a lot of attention [14,[18][19][20][21].In this situation, a zero-density area -a hole-grows at the trap center above a critical rotation frequency Ω h [22], leading to an annular two-dimensional density profile. Moreover, the velocity of the atomic flow is expected to be supersonic [18] i.e. exceeding by far the speed of 50 µm -2 0 2 4 6 8 10 Figure 1. (a) Computed density contour (red annulus) for a BEC rotating at 1.06 ωr in the shell trap (gray ellipsoid). (b) in situ integrated 2D density (in units of µm −2 ) of a dynamical ring rotating at Mach ...

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Experimental Setup and Measurement of the Observables

Pigneur

2020

Non-Equilibrium Dynamics of Tunnel-Coupled Superfluids

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Trapping Atoms With Radio Frequency Adiabatic Potentials

Cited by 41 publications

References 93 publications

Probing multiple-frequency atom-photon interactions with ultracold atoms

Probing multiple-frequency atom-photon interactions with ultracold atoms

Supersonic Rotation of a Superfluid: A Long-Lived Dynamical Ring

Experimental Setup and Measurement of the Observables

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