Optimal measurement precision of a nonlinear interferometer

Abstract

We study the best attainable measurement precision when a double-well trap with bosons inside acts as an interferometer to measure the energy difference of the atoms on the two sides of the trap. We introduce time independent perturbation theory as the main tool in both analytical arguments and numerical computations. Nonlinearity from atom-atom interactions will not indirectly allow the interferometer to beat the Heisenberg limit, but in many regimes of the operation the Heisenberg limit scaling of measurement precision is preserved in spite of added tunneling of the atoms and atom-atom interactions, often even with the optimal prefactor.

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• Quantum metrology
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Cited by in corpus (7)

• Ultrasensitive Atomic Spin Measurements with a Nonlinear Interferometer
• Self-consistent many-body metrology
• A Hubbard model for ultracold bosonic atoms interacting via zero-point-energy induced three-body interactions
• Classical and quantum metrology of the Lieb-Liniger model
• Quadrature interferometry for nonequilibrium ultracold bosons in optical lattices
• Ground state of the double-well condensate for quantum metrology
• Many-body quantum metrology with scalar bosons in a single potential well