Mach-Zehnder interferometry with interacting trapped Bose-Einstein condensates
arXiv:1010.3273 · doi:10.1103/PhysRevA.84.023619
Abstract
We theoretically analyze a Mach-Zehnder interferometer with trapped condensates, and find that it is surprisingly stable against the nonlinearity induced by inter-particle 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 robustness of the Mach-Zehnder interferometer in presence of interactions against condensate oscillations and a realistic atom counting error.
4 pages, 5 figures, minor revisions
References in corpus (16)
- Atom Interferometers
- Nonlinear atom interferometer surpasses classical precision limit
- Atom chip based generation of entanglement for quantum metrology
- Matter-wave interferometry in a double well on an atom chip
- Squeezing and entanglement in a Bose-Einstein condensate
- The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
- 39-K Bose-Einstein condensate with tunable interactions
- Phase detection at the quantum limit with multi-photon Mach-Zehnder interferometry
- Entanglement and sensitivity in precision measurements with states of a fluctuating number of particles
- Microwave potentials and optimal control for robust quantum gates on an atom chip
- Optimizing number squeezing when splitting a mesoscopic condensate
- Improved detection of small atom numbers through image processing
- Enhanced and reduced atom number fluctuations in a BEC splitter
- Atom interferometry with trapped Bose-Einstein condensates: Impact of atom-atom interactions
- Non-Linear Beam Splitter in Bose-Einstein Condensate Interferometers
- Optimal Gaussian squeezed states for atom-interferometry in the presence of phase diffusion
Cited by in corpus (24)
- Integrated Mach-Zehnder interferometer for Bose-Einstein condensates
- Fifteen Years of Cold Matter on the Atom Chip: Promise, Realizations, and Prospects
- Exact quantum dynamics of bosons with finite-range time-dependent interactions of harmonic type
- Bayesian parameter inference from continuously monitored quantum systems
- Optical interferometry in the presence of large phase diffusion
- Interactions of solitons with a Gaussian barrier: Splitting and recombination in quasi-1D and 3D
- Effect of phase noise on useful quantum correlations in Bose Josephson junctions
- Bose-Einstein condensation: Twenty years after
- OCTBEC - A Matlab toolbox for optimal quantum control of Bose-Einstein condensates
- Time-Optimal Adiabatic-Like Expansion of Bose-Einstein Condensates
- Sub shot-noise interferometry from measurements of the one-body density
- Effect of one-, two-, and three-body atom loss processes on superpositions of phase states in Bose-Josephson junctions
- Matter-wave recombiners for trapped Bose-Einstein condensates
- Classical and quantum metrology of the Lieb-Liniger model
- Optimal measurement precision of a nonlinear interferometer
- Matter-wave interferometers with trapped strongly interacting Feshbach molecules
- Quadrature interferometry for nonequilibrium ultracold bosons in optical lattices
- Simple atom interferometer in a double-well potential
- Ground state of the double-well condensate for quantum metrology
- Interferometry with Atoms
- Many-body quantum metrology with scalar bosons in a single potential well
- Effect of Inter-Well Interactions on Non-Linear Beam Splitters for Matter-Wave Interferometers
- Many-body effects in the excitations and dynamics of trapped Bose-Einstein condensates
- Unobservable Potentials to Explain Single Photon and Electron Interference