# Mach-Zehnder interferometry with interacting trapped Bose-Einstein condensates

@article{Grond2011MachZehnderIW, title={Mach-Zehnder interferometry with interacting trapped Bose-Einstein condensates}, author={Julian Grond and Ulrich Hohenester and J{\"o}rg Schmiedmayer and Augusto Smerzi}, journal={Physical Review A}, year={2011}, volume={84}, pages={023619} }

We theoretically analyze a Mach-Zehnder interferometer with trapped condensates and find that it is surprisingly stable against the nonlinearity induced by interparticle interactions. The phase sensitivity, which we study for number-squeezed input states, can overcome the shot noise limit and be increased up to the Heisenberg limit provided that a Bayesian or maximum-likelihood phase estimation strategy is used. We finally demonstrate the robustness of the Mach-Zehnder interferometer in the…

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## References

SHOWING 1-10 OF 57 REFERENCES

Nonlinear beam splitter in Bose-Einstein-condensate interferometers

- Physics
- 2006

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…

Phase detection at the quantum limit with multiphoton Mach-Zehnder interferometry.

- PhysicsPhysical review letters
- 2007

A Bayesian phase estimation strategy is explored to demonstrate that it is possible to achieve the standard quantum limit independently from the true value of the phase shift and specific assumptions on the noise of the interferometer.

Enhanced phase sensitivity and soliton formation in an integrated BEC interferometer

- Physics
- 2004

We study the dynamics of Bose–Einstein condensates in time-dependent microtraps for the purpose of understanding the influence of the mean field interaction on the performance of interferometers. We…

39K Bose-Einstein condensate with tunable interactions.

- PhysicsPhysical review letters
- 2007

A Bose-Einstein condensate of 39K atoms is produced by a combination of sympathetic cooling with 87Rb and direct evaporation, exploiting the magnetic tuning of both inter- and intraspecies interactions at Feshbach resonances to explore the tunability of the self-interactions.

Phase and Phase Diffusion of a Split Bose-Einstein Condensate

- Physics
- 1997

We analyze theoretically an experiment in which a trapped Bose-Einstein condensate is cut in half, and the parts are subsequently allowed to interfere. If the delay between cutting and atom detection…

Interferometric detection of optical phase shifts at the Heisenberg limit.

- PhysicsPhysical review letters
- 1993

We show that the uncertainty in the relative quantum phase of two fields propagating in the arms of a Mach-Zehnder interferometer can be reduced to the Heisenberg limit by driving the interferometer…

Optimizing number squeezing when splitting a mesoscopic condensate

- Physics
- 2009

We optimize number squeezing when splitting a mesoscopic Bose-Einstein condensate. Applying optimal control theory to a realistic description of the condensate allowed us to identify a form of the…

Atom interferometry with trapped Bose–Einstein condensates: impact of atom–atom interactions

- Physics
- 2010

Interferometry with ultracold atoms promises the possibility of ultraprecise and ultrasensitive measurements in many fields of physics, and is the basis of our most precise atomic clocks. Key to a…

Enhanced and reduced atom number fluctuations in a BEC splitter.

- PhysicsPhysical review letters
- 2010

Atom number statistics after splitting a gas of ultracold 87Rb atoms in a purely magnetic double-well potential created on an atom chip are measured to confirm that the supershot noise fluctuations directly originate from quantum statistics.

Nonlinear atom interferometer surpasses classical precision limit

- PhysicsNature
- 2010

It is shown experimentally that the classical precision limit can be surpassed using nonlinear atom interferometry with a Bose–Einstein condensate and the results provide information on the many-particle quantum state, and imply the entanglement of 170 atoms.