Estimation of phase diffusion rates in a condensate interferometer using the Gross–Pitaevskii equation

Fallon, Adam; Leonard, Robert H.; Sackett, C. A.

doi:10.1088/0953-4075/48/20/205301

Cited by 6 publications

(9 citation statements)

References 28 publications

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“…Phase diffusion is known to be one of the intrinsic factors limiting the performance of atom interferometers. It has been observed and studied in various architectures [23][24][25][26][27][28][29][30][31][32][33]. The diffusion rate for an approach where atoms are split and recombined nonadiabatically using Bragg pulses, similarly to the setup used in our experiment, was theoretically studied in [30].…”

Section: Phase Diffusionmentioning

confidence: 95%

“…Following the discussion in [30,33], the effect of the interatomic interactions in a many-body Hamiltonian is captured by the interaction coefficient g g…”

Section: Phase Diffusionmentioning

confidence: 99%

“…Shot noise is negligible compared to the noise visible seen in the fringes presented here. An estimate of the reduction in average contrast due to phase diffusion [23][24][25][26][27][28][29][30][31][32][33] says that the average contrast will still be 90% of the maximum value at T =80 ms (see Supplemental Material). So it appears that the current interferometer is limited by technical noise.…”

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confidence: 99%

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Matter Wave Analog of a Fiber-Optic Gyroscope

Krzyżanowska¹,

Ferreras²,

Ryu³

et al. 2022

Preprint

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Confining the propagating wavepackets of an atom interferometer inside a waveguide can substantially reduce the size of the device while preserving high sensitivity. We have realized a twodimensional Sagnac atom interferometer in which Bose-condensed 87 Rb atoms propagate within a tight waveguide formed by a collimated laser beam, a matter wave analog of the fiber optic gyro (FOG). The condensate is split, reflected, and recombined with a series of Bragg pulses while the waveguide moves transversely so that the wavepacket trajectories enclose an area. Delta-kick cooling is used to prepare low-density atomic wavepackets with a temperature of 3 nK. The low density reduces the impact of interatomic interactions, while the low temperature limits the expansion of the wavepacket during the interferometer cycle. The effective enclosed area is 0.8 mm 2 with an average fringe contrast of 20% and underlying contrast up to 60%. The main source of the reduced average contrast is phase noise caused by mechanical vibrations of the optical components. We present the first measurement of Allan deviation for such an atom rotation sensor, showing that the interferometer phase noise falls with averaging time τ as τ −1/2 for τ up to 10,000 seconds. The statistical noise falls below the Earth rotation rate after 30 minutes of averaging.

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Section: Phase Diffusionmentioning

confidence: 95%

“…Following the discussion in [30,33], the effect of the interatomic interactions in a many-body Hamiltonian is captured by the interaction coefficient g g…”

Section: Phase Diffusionmentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Matter Wave Analog of a Fiber-Optic Gyroscope

Krzyżanowska¹,

Ferreras²,

Ryu³

et al. 2022

Preprint

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“…Before concluding this section we note that calculations of BEC splitting in a waveguide have already been done in the past [27,29]. These calculations, which involved a comparison between a GP calculation and two limits of atom-atom interaction: TF approximation and perturbation theory, aimed at understanding an experiment where the longitudinal potential was not turned off so that the atomic clouds moved in a harmonic potential [6,7].…”

Section: B Evolution Equationsmentioning

confidence: 99%

“…The main stream of theoretical study of intrinsic static and dynamic properties of a split BEC in the presence of atom-atom interactions concentrates on a twomode quantized model, which is often called the "Twomode Bose-Hubbard model", which is equivalent under some assumptions to a model of a Josephson junction. Many theoretical and experimental works used such a configuration to study tunneling oscillations of two condensates through a potential barrier [40][41][42][43][44][45][46][47][48], while some others also dealt with coherence and its dynamics [25,28,29,49,50]. While most of these works introduce phenomenological parameters into the two-mode model, only a few of them attempt to calculate these parameters from first principles [25,49,51].…”

Section: Phase Diffusion Of Propagating Wave-packetsmentioning

confidence: 99%

Generalized wave-packet model for studying coherence of matter-wave interferometers

Japha

2019

Preprint

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We present a general method for calculating wave-packet evolution in the context of ultracold atoms in matter-wave interferometers. This method provides an efficient tool for analyzing the performance of atomic interferometers based on atom clouds initially prepared in a trap in a Bose-Einstein condensate (BEC) state or in a thermal distribution. Without having to solve explicitely the Gross-Pitaevskii or the Schrödinger equation, this provides a good estimation of dynamic wavepacket properties such as size and phase across the wave-packet, and slows to predict the coherence of the interferometer. We develop a generalized Thomas-Fermi approximation for a BEC in a harmonic trap, which is valid for any atom-atom interaction strength. In particular, this approximation also provides a good estimation of the transition from a three-dimensional to a one-dimensional BEC in an elongated trap. The approximation is followed by a theory of dynamic wave-packet evolution when the trap is fully or partially switched off and the atoms are split and propagate, for example, in free space or in a matter waveguide. The method is applied for studying two examples of interferometric effects: reduction of coherence of two-state interferometers due to imperfect spatial recombination of the two interferometer arms (the "Humpty-Dumpty effect") and phase diffusion due to number uncertainty in the two interferometer arms, which was previously studied thoroughly only for interferometric schemes where the BECs in the two arms stay trapped (for example, in a double-well potential). For both effects we extend the applicability of the theory to a wide range of interferometric scenarios that were not included in previous theories.

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Unified model of matter-wave-packet evolution and application to spatial coherence of atom interferometers

Japha

2021

Phys. Rev. A

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Estimation of phase diffusion rates in a condensate interferometer using the Gross–Pitaevskii equation

Cited by 6 publications

References 28 publications

Matter Wave Analog of a Fiber-Optic Gyroscope

Matter Wave Analog of a Fiber-Optic Gyroscope

Generalized wave-packet model for studying coherence of matter-wave interferometers

Unified model of matter-wave-packet evolution and application to spatial coherence of atom interferometers

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