Time-dependent quantum correlations in phase space

Abstract

General quasi-probabilities are introduced to visualize time-dependent quantum correlations of light in phase space. They are based on the generalization of the Glauber-Sudarshan P function to a time-dependent P functional [W. Vogel, Phys. Rev. Lett. 100, 013605 (2008)], which fully describes temporal correlations of radiation fields on the basis of continuous phase-space distributions. This approach is nontrivial as the P functional itself is highly singular for many quantum states and nonlinear processes. In general, it neither yields a well-behaved nor an experimentally accessible description of quantum stochastic processes. Our regularized version of this multi-time-dependent quasi-probability is a smooth function and applies to stronger divergences compared to the single-time and multi-mode scenario. The technique is used to characterize an optical parametric process with frequency mismatch. A measurement scheme, together with a sampling approach, is provided which yields direct experimental access to the regularized P functional from measured data.

13 pages, 5 figures

References in corpus (8)

• Detection of 15 dB Squeezed States of Light and their Application for the Absolute Calibration of Photoelectric Quantum Efficiency
• Observation of squeezed light with 10dB quantum noise reduction
• Testing nonclassicality in multimode fields: a unified derivation of classical inequalities
• Nonclassical correlation properties of radiation fields
• Quasiprobabilities for Multipartite Quantum Correlations of Light
• Universal measurement of quantum correlations of radiation
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• Visualizing nonclassical effects in phase space

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• Time-dependent nonlinear Jaynes-Cummings dynamics of a trapped ion
• Quantum correlations in composite systems
• Quasistates and quasiprobabilities
• Classical evolution in quantum systems
• Nonclassical photon statistics in two-tone continuously driven optomechanics
• Path Integral Approach to Input-Output Theory
• Wigner functional theory for quantum optics