Limits to phase resolution in matter wave interferometry
arXiv:quant-ph/0407015 · doi:10.1103/PhysRevA.70.063612
Abstract
We study the quantum dynamics of a two-mode Bose-Einstein condensate in a time-dependent symmetric double-well potential using analytical and numerical methods. The effects of internal degrees of freedom on the visibility of interference fringes during a stage of ballistic expansion are investigated varying particle number, nonlinear interaction sign and strength as well as tunneling coupling. Expressions for the phase resolution are derived and the possible enhancement due to squeezing is discussed. In particular, the role of the superfluid - Mott insulator cross-over and its analog for attractive interactions is recognized.
10 pages, 9 figures
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- Optimal control of number squeezing in trapped Bose-Einstein condensates
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- Atom interferometry with trapped Bose-Einstein condensates: Impact of atom-atom interactions
- Suppression of Quantum Scattering in Strongly Confined Systems
- Non-Linear Beam Splitter in Bose-Einstein Condensate Interferometers
- Nonlinear tunneling of BEC in an optical lattice: signatures of quantum collapse and revival
- Many-body quantum metrology with scalar bosons in a single potential well
- Uncertainty, von Neumann Entropy, and Squeezing in a Bipartite State of Two-Level Atoms