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… 
View PDF on arXiv
28 Citations
Highly Influential Citations
1
Background Citations
4
Methods Citations
3

Figures from this paper

28 Citations

Adiabatic Mach–Zehnder interferometer in a dipolar spin-1 condensate
Integrated Mach-Zehnder interferometer for Bose-Einstein condensates.
TLDR
A full Mach-Zehnder sequence with trapped Bose-Einstein condensates confined on an atom chip is demonstrated, highlighting the potential of entanglement as a resource for metrology and paving the way for integrated quantum-enhanced matter-wave sensors.
Nonlinear Rosen-Zener-Stückelberg interferometry of a Bose-Einstein condensate
We adopt a nonlinear two-mode model to investigate the Rosen-Zener-St\"uckelberg (RZS) interferometry of an interacting Bose-Einstein condensate trapped in double-well potential with a periodically…
Sub-shot-noise interferometry from measurements of the one-body density
We derive the asymptotic maximum-likelihood phase estimation uncertainty for any interferometric protocol where the positions of the probe particles are measured to infer the phase, but where…
Effect of phase noise on useful quantum correlations in Bose Josephson junctions
In a two-mode Bose-Josephson junction the dynamics induced by a sudden quench of the tunnel amplitude leads to the periodic formation of entangled states. For instance, squeezed states are formed at…
Quadrature interferometry for nonequilibrium ultracold atoms in optical lattices
gauge elds, and higher-band eects. Analyzing the special case of a deep lattice with negligible tunneling, we obtain the time evolution of both quadrature observables and their uctuations. As a…
Temporal quantum fluctuations in the fringe-visibility of atom interferometers with interacting Bose-Einstein condensate
We formulate a semiclassical approach to study the dynamics of coherence loss and revival in a Bose-Josephson dimer. The phase-space structure of the bi-modal system in the Rabi, Josephson, and Fock…
Effect of Inter-Well Interactions on Non-Linear Beam Splitters for Matter-Wave Interferometers
We study the non-linear beam splitter in matter-wave interferometers using ultracold quantum gases in a double-well configuration in presence of non-local interactions inducing inter-well…
Time-optimal adiabatic-like expansion of Bose-Einstein condensates
TLDR
This work studies the fast adiabatic-like expansion of a one-dimensional Bose-Einstein condensate confined in a harmonic potential, using the theory of time-optimal control and calculates the necessary expansion time and shows that it scales logarithmically with large values of the expansion factor.
Frictionless decompression in minimum time of Bose-Einstein condensates in the Thomas-Fermi regime
In this paper we study a fast adiabatic-like expansion of a one-dimensional Bose-Einstein condensate (BEC) in the Thomas-Fermi regime confined in a harmonic potential, using the theory of…
...
...

References

SHOWING 1-10 OF 57 REFERENCES
Nonlinear beam splitter in Bose-Einstein-condensate interferometers
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.
TLDR
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
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.
TLDR
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
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.
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
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
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.
TLDR
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
TLDR
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.
...
...