Shot noise of interference between independent atomic systems
arXiv:cond-mat/0606672 · doi:10.1209/0295-5075/78/10006
Abstract
We study shot (counting) noise of the amplitude of interference between independent atomic systems. In particular, for the two interfering systems the variance of the fringe amplitude decreases as the inverse power of the number of particles per system with the coefficient being a non-universal number. This number depends on the details of the initial state of each system so that the shot noise measurements can be used to distinguish between such states. We explicitly evaluate this coefficient for the two cases of the interference between bosons in number states and in broken symmetry states. We generalize our analysis to the interference of multiple independent atomic systems. We show that the variance of the interference contrast vanishes as the inverse power of the number of the interfering systems. This result, implying high signal to noise ratio in the interference experiments, holds both for bosons and for fermions.
5 pages, 1 figure, final version, added a simple quantum-mechanical argument why two independent condensates with fixed number of particles in each must interfere in a generic experimental setup
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Cited by in corpus (18)
- Many-Body Physics with Ultracold Gases
- Probing quantum and thermal noise in an interacting many-body system
- Ramsey interference in one dimensional systems: The full distribution function of fringe contrast as a probe of many-body dynamics
- Interferometry with independent Bose-Einstein ondensates: parity as an EPR/Bell quantum variable
- Mapping of Coulomb gases and sine-Gordon models to statistics of random surfaces
- Interferometric probe of paired states
- Competition between Vortex Unbinding and Tunneling in an Optical Lattice
- Full counting statistics of the interference contrast from independent Bose-Einstein condensates
- Fermion- and Spin-Counting in Strongly Correlated Systems
- Relevance of Bose-Einstein Condensation to the Interference of Two Independent Bose Gases
- Localization of the relative phase via measurements
- Interference of an Array of Independent Bose-Einstein Condensates
- Interference in a two-mode Bose system with particles is typical
- Dynamics of double-well Bose-Einstein Condensates subject to external Gaussian white noise
- Quantum measuring processes for trapped ultracold bosonic gases
- Phase randomization and typicality in the interference of two condensates
- Typical observables in a two-mode Bose system
- Matter wave interference of dilute Bose gases in the critical regime