Two-Mode Theory of BEC Interferometry

Abstract

A theory of BEC interferometry in an unsymmetrical double-well trap has been developed for small boson numbers, based on the two-mode approximation. The bosons are initially in the lowest mode of a single well trap, which is split into a double well and then recombined. Possible fragmentations into separate BEC states in each well during the splitting/recombination process are allowed for. The BEC is treated as a giant spin system, the fragmented states are eigenstates of S^2 and Sz. Self-consistent sets of equations for the amplitudes of the fragmented states and for the two single boson mode functions are obtained. The latter are coupled Gross-Pitaevskii equations. Interferometric effects may be measured via boson numbers in the first excited mode

Four figures (7 files)

References in corpus (4)

• Matter-wave interferometry in a double well on an atom chip
• The Gross-Pitaevskii Equation for Bose Particles in a Double Well Potential: Two Mode Models and Beyond
• Correlations in atomic systems: Diagnosing coherent superpositions
• Correlation functions of cold bosons in an optical lattice

Cited by in corpus (7)

• Rotational Response of Two-Component Bose-Einstein Condensates in Ring Traps
• Build-up of coherence between initially-independent subsystems: The case of Bose-Einstein condensates
• Classical and quantum metrology of the Lieb-Liniger model
• Strong-coupling dynamics of Bose-Einstein condensate in a double-well trap
• Decoherence effects in Bose-Einstein condensate interferometry. I General Theory
• Phase space theory of Bose-Einstein condensates and time-dependent modes
• Many-body quantum metrology with scalar bosons in a single potential well