Quantum interferometry in multi-mode systems

Abstract

We consider the situation when the signal propagating through each arm of an interferometer has a complicated multi-mode structure. We find the relation between the particle-entanglement and the possibility to surpass the shot-noise limit of the phase estimation. Our results are general---they apply to pure and mixed states of identical and distinguishable particles (or combinations of both), for a fixed and fluctuating number of particles. We also show that the method for detecting the entanglement often used in two-mode system can give misleading results when applied to the multi-mode case.

9 pages, 3 figures

References in corpus (15)

• Nonlinear atom interferometer surpasses classical precision limit
• Reference frames, superselection rules, and quantum information
• Squeezing and entanglement in a Bose-Einstein condensate
• New determination of the fine structure constant and test of the quantum electrodynamics
• Measurement of the Temperature Dependence of the Casimir-Polder Force
• Twin matter waves for interferometry beyond the classical limit
• Long-lived Bloch oscillations with bosonic Sr atoms and application to gravity measurement at micrometer scale
• Precision measurement of gravity with cold atoms in an optical lattice and comparison with a classical gravimeter
• Effect of the Casimir-Polder force on the collective oscillations of a trapped Bose-Einstein condensate
• Combination of Bloch oscillations with a Ramsey-Bordé interferometer : new determination of the fine structure constant
• Observation of atom pairs in spontaneous four wave mixing of two colliding Bose-Einstein Condensates
• Measurement of the Gravity-Field Curvature by Atom Interferometry
• Bloch oscillations of ultracold atoms: a tool for a metrological determination of $h/m_{Rb}$
• Violation of the Cauchy-Schwarz inequality with matter waves
• Role of Particle Entanglement in the Violation of Bell Inequalities