A quantum stochastic calculus approach to modeling double-pass atom-field coupling

Abstract

We examine a proposal by Sherson and Moelmer to generate polarization-squeezed light in terms of the quantum stochastic calculus (QSC). We investigate the statistics of the output field and confirm their results using the QSC formalism. In addition, we study the atomic dynamics of the system and find that this setup can produce up to 3 dB of atomic spin squeezing.

Minor corrections to Section III

References in corpus (5)

• The Langevin equation from Markovian Quantum Central Limits
• Quantum Flows as Markovian Limit of Emission, Absorption and Scattering Interactions
• Polarization squeezing by optical Faraday rotation
• Scattering of polarized laser light by an atomic gas in free space: a QSDE approach
• Optimal Pointers for Joint Measurement of sigma-x and sigma-z via Homodyne Detection

Cited by in corpus (7)

• Direct and Indirect Couplings in Coherent Feedback Control of Linear Quantum Systems
• Linear Quantum Feedback Networks
• Magnetometry via a double-pass continuous quantum measurement of atomic spin
• Construction of bilinear control Hamiltonians using the series product and quantum feedback
• Coherent-Classical Estimation versus Purely-Classical Estimation for Linear Quantum Systems
• Robust $H_{\infty }$ Estimation of Uncertain Linear Quantum Systems
• Amplified Quantum Dynamics and Enhanced Parameter Sensitivity via Coherent Feedback in Collective Atomic Spin Systems