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Quantum Electronics and Laser Science Conference

Giant violations of classical inequalities by the quantum fluctuations of squeezed light

H. J. Carmichael, H. M. Castro-Beltrán, G. T. Foster, Luis A. Orozco

Published May 12, 2000• 0 citations
OpenAlex

Abstract

Summary form only given. The squeezing of an optical field is normally observed in the frequency domain using balanced homodyne detection to measure the fluctuation variance of a selected quadrature amplitude. The scheme amounts to a measurement of sub-Poissonian photon statistics and is sensitive to efficiencies as any such unconditional measurement is. Conditional measurements are independent of efficiencies. We propose a conditional homodyne detection scheme for observing the amplitude fluctuations of squeezed light. The central idea is to sample the photocurrent by triggering on a photon count and hence realize an efficiency independent measurement that resolves the quantum fluctuations in time. Our scheme directly measures the correlation function.

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H. J. Carmichael, H. M. Castro-Beltrán, G. T. Foster +1 more

Conditional homodyne detection is proposed as an extension of the intensity correlation technique introduced by Hanbury-Brown and Twiss [Nature (London) 177, 27 (1956)]. It detects giant quadrature amplitude fluctuations for weakly squeezed light, violating a classical bound by orders of magnitude. Fluctuations of both quadrature amplitudes are anomalously large. The squeezed quadrature also exhibits an anomalous phase.

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arXiv:1707.08958•Physical Review A•Aug 4, 2017•13 citations
Summary form only given. The squeezing of an optical field is normally observed in the frequency domain using balanced homodyne detection to measure the fluctuation variance of a selected quadrature amplitude. The scheme amounts to a measurement of sub-Poissonian photon statistics and is sensitive to efficiencies as any such unconditional measurement is. Conditional measurements are independent of efficiencies. We propose a conditional homodyne detection scheme for observing the amplitude fluctuations of squeezed light. The central idea is to sample the photocurrent by triggering on a photon count and hence realize an efficiency independent measurement that resolves the quantum fluctuations in time. Our scheme directly measures the correlation function.
The correlation of a photon detection with the record of a homodyne photocurrent has allowed the observation of time-resolved quantum fluctuations of the amplitude of a squeezed electromagnetic wave in a cavity quantum electrodynamic system. The photon detection, through the wavefunction collapse, prepares a conditional state whose evolution back to equilibrium is observed. The perturbation of the wave amplitude is measured at the sub-photon level. The third-order correlation is manifestly non-classical, giving a minimum amplitude at zero delay where there would classically be a maximum; its Fourier transform gives the squeezing spectrum.
Measurement of the squeezed fluctuations of an optical field by the method of conditional homodyne detection is discussed. It is shown that conditional homodyne detection is able to distinguish qualitatively between vacuum-state squeezing and squeezed classical noise. Whereas for conventional squeezed-light detection, only a quantitative distinction can be made, based on the setting of the shot-noise level, under conditional detection, the presence of classical noise changes the actual shape of the measured correlation function. The correlations show a positive peak due to the unsqeezed classical noise frequencies, set inside the negative dip associated with the squeezed fluctuations. The width in time of the positive peak is the larger of the detector response time and the inverse of the classical noise bandwidth. The fundamental distinction between vacuum-state squeezing and squeezed classical noise is that there is no positive peak, even in the limiting form of a delta-function, when the unsqueezed frequencies correspond to vacuum state modes. Implications for the literal interpretation of vacuum fluctuations, such as is adopted in stochastic electrodynamics, are discussed. The ideas are presented in general terms and illustrated by an example which treats the generation and detection of broadband squeezed light, including finite-bandwidth classical noise, within the framework of the quantum trajectory theory of cascaded open systems.
A simple scheme for conditional generation of nonclassical light with sub-Poissonian photon-number statistics is proposed. The method utilizes entanglement of signal and idler modes in a two-mode squeezed vacuum state generated in an optical parametric amplifier. A quadrature component of the idler mode is measured in the balanced homodyne detector and the signal mode is accepted only if the absolute value of the measured idler quadrature lies inside a certain chosen interval of quadratures. It is shown that the conditionally generated state of the signal mode can exhibit reduction of photon-number fluctuations below the coherent-state level.
Summary form only given. We have developed a correlation technique that permits us to follow the evolution of the mean amplitude of the conditional electromagnetic field emitted from an optical system. The detection of a photon is correlated with the photocurrent record from a balanced homodyne detector. The measured signal in the homodyne detector is proportional to a correlation between particle wave aspects of light. One application of this technique is the measurement of quadrature amplitude fluctuations which violate classical bounds by orders of magnitude.We use this wave-particle correlator to study the time evolution of the electromagnetic field emitted from a cavity QED system. We operate in the optical regime of cavity QED where a beam of optically pumped two-level Rb atoms traverse the TEM/sub 00/ mode of a high finesse Fabry-Perot cavity.
We experimentally study a protocol of using the broadband high-frequency squeezed vacuum to detect the low-frequency signal. In this scheme, the lower sideband field of the squeezed light carries the low-frequency modulation signal, and the two strong coherent light fields are applied as the bichromatic local oscillator in the homodyne detection to measure the quantum entanglement of the upper and lower sideband for the broadband squeezed light. The power of one of the local oscillators for detecting the upper sideband can be adjusted to optimize the conditional variance in the low-frequency regime by subtracting the photocurrent of the upper sideband field of the squeezed light from that of the lower sideband field. By means of the quantum correlation of the upper and lower sideband for the broadband squeezed light, the low-frequency signal beyond the standard quantum limit is measured. This scheme is appropriate for enhancing the sensitivity of the low-frequency signal by the aid of the broad squeezed light, such as gravitational waves detection, and does not need to directly produce the low-frequency squeezing in an optical parametric process.