Optimal Gaussian squeezed states for atom interferometry in the presence of phase diffusion

Journal Article · Fri Oct 15 04:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.043624· OSTI ID:21456988

Tikhonenkov, Igor ^[1]; Moore, Michael G ^[2]; Vardi, Amichay ^[1]

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1. Department of Chemistry, Ben-Gurion University of the Negev, Post Office Box 653, Beer-Sheva 84105 (Israel)
2. Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824 (United States)

We optimize the signal-to-noise ratio of a Mach-Zehnder atom interferometer with Gaussian squeezed input states in the presence interactions. For weak interactions, our results coincide with those of Huang and Moore [Y. P. Huang and M. G. Moore, Phys. Rev. Lett. 100, 250406 (2008)], with an optimal initial number variance {sigma}{sub o{proportional_to}}N{sup 1/3} and an optimal signal-to-noise ratio s{sub o{proportional_to}}N{sup 2/3} for the total atom number N. As the interaction strength u increases past unity, phase diffusion becomes dominant, leading to a transition in the optimal squeezing from initial number squeezing to initial phase squeezing with {sigma}{sub o{proportional_to}{radical}}(uN) and s{sub o{proportional_to}{radical}}(N/u) shot-noise scaling. The initial phase squeezing translates into hold-time number squeezing, which is less sensitive to interactions than coherent states and improves s{sub o} by a factor of {radical}(u).

• OSTI ID: 21456988
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 82; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANNIHILATION OPERATORS
ATOMS
BASIC INTERACTIONS
DIFFUSION
DIMENSIONLESS NUMBERS
EIGENSTATES
ENERGY LEVELS
EXCITED STATES
INTERACTIONS
INTERFEROMETERS
INTERFEROMETRY
MACH-ZEHNDER INTERFEROMETER
MATHEMATICAL OPERATORS
MEASURING INSTRUMENTS
NOISE
QUANTUM OPERATORS
SIGNAL-TO-NOISE RATIO
WEAK INTERACTIONS