Differential atom interferometry beyond the standard quantum limit
arXiv:quant-ph/0507061 · doi:10.1103/PhysRevA.73.013814
Abstract
We analyze methods to go beyond the standard quantum limit for a class of atomic interferometers, where the quantity of interest is the difference of phase shifts obtained by two independent atomic ensembles. An example is given by an atomic Sagnac interferometer, where for two ensembles propagating in opposite directions in the interferometer this phase difference encodes the angular velocity of the experimental setup. We discuss methods of squeezing separately or jointly observables of the two atomic ensembles, and compare in detail advantages and drawbacks of such schemes. In particular we show that the method of joint squeezing may improve the variance by up to a factor of 2. We take into account fluctuations of the number of atoms in both the preparation and the measurement stage, and obtain bounds on the difference of the numbers of atoms in the two ensembles, as well as on the detection efficiency, which have to be fulfilled in order to surpass the standard quantum limit. Under realistic conditions, the performance of both schemes can be improved significantly by reading out the phase difference via a quantum non-demolition (QND) measurement. Finally, we discuss a scheme using macroscopically entangled ensembles.
10 pages, 5 figures; eq. (3) corrected and other minor changes
References in corpus (18)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Experimental long-lived entanglement of two macroscopic objects
- Experimental demonstration of quantum memory for light
- Sensitive Absolute Gravity Gradiometry Using Atom Interferometry
- Entanglement and Extreme Spin Squeezing
- Quantum State Transfer Between Matter and Light
- Atomic Interferometer with Amplitude Gratings of Light and its Applications to Atom Based Tests of the Equivalence Principle
- Quantum communication between atomic ensembles using coherent light
- Clock-Comparison Tests of Lorentz and CPT Symmetry in Space
- Characterizing the entanglement of symmetric many-particle spin-1/2 systems
- Can a quantum nondemolition measurement improve the sensitivity of an atomic magnetometer?
- Spin squeezing and precision probing with light and samples of atoms in the gaussian approximation
- Quantum lithography, entanglement and Heisenberg-limited parameter estimation
- Two-photon linewidth of light "stopping" via electromagnetically induced transparency
- Non-symmetric entanglement of atomic ensembles
- Magnetometry with entangled atomic samples
- Analysis of Quantum Light Memory in Atomic Systems
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