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Nonlinear beam splitter in Bose-Einstein-condensate interferometers

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TLDR
In this paper, a Bose-Einstein condensate beam splitter with a double well potential of tunable height is analyzed. Butler et al. showed that the phase sensitivity of the beam-splitter is degraded by the nonlinear particle-particle interaction during the splitting dynamics.
Abstract
A beam splitter is an important component of an atomic/optical Mach-Zehnder interferometer. Here we study a Bose-Einstein condensate beam splitter, realized with a double well potential of tunable height. We analyze how the sensitivity of a Mach-Zehnder interferometer is degraded by the nonlinear particle-particle interaction during the splitting dynamics. We distinguish three regimes, Rabi, Josephson and Fock, and associate to them a different scaling of the phase sensitivity with the total number of particles.

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Journal ArticleDOI

Spin squeezing, entanglement and quantum metrology with Bose?Einstein condensates

TL;DR: In this article, the authors focus on spin squeezing in atomic systems and give an introduction to its concepts and discuss its generation in Bose-Einstein condensates, as well as the experimental requirements necessary for the generation and direct detection of coherent spin squeezing.
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Atom interferometry with trapped Bose?Einstein condensates: impact of atom?atom interactions

TL;DR: In this paper, the nonlinearities from atom?atom interactions, on the one hand, allow us to efficiently produce squeezed states for enhanced readout and on the other hand, result in phase diffusion that limits the phase accumulation time.
Journal ArticleDOI

Optimal control of number squeezing in trapped Bose-Einstein condensates

TL;DR: In this paper, the authors theoretically analyze atom interferometry based on trapped ultracold atoms and employ optimal control theory in order to optimize number squeezing and condensate trapping.
Journal ArticleDOI

Atom interferometry with trapped Bose-Einstein condensates: Impact of atom-atom interactions

TL;DR: In this article, the nonlinearities from atom-atom interactions on one hand allow to efficiently produce squeezed states for enhanced readout, but on the other hand result in phase diffusion which limits the phase accumulation time.
Journal ArticleDOI

Mach-Zehnder interferometry with interacting trapped Bose-Einstein condensates

TL;DR: In this article, the authors theoretically analyze a Mach-Zehnder interferometer with trapped condensates and find that it is surprisingly stable against the nonlinearity induced by interparticle interactions.
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