An ideal optical amplifier is generally considered to be a linear device. We show that entanglement between the signal and idler modes can produce nonlinear behavior and decoherence even for small gains where the added noise is negligible.
In an ideal linear amplifier, the output signal is linearly related to the input signal with an additive noise that is independent of the input. The decoherence of a quantum-mechanical state as a result of optical amplification is usually assumed to be due to the addition of quantum noise. Here we show that entanglement between the input signal and the amplifying medium can produce an exponentially-large amount of decoherence in an ideal optical amplifier even when the gain is arbitrarily close to unity and the added noise is negligible. These effects occur for macroscopic superposition states, where even a small amount of gain can leave a significant amount of which-path information in the environment. Our results show that the usual input/output relation of a linear amplifier does not provide a complete description of the output state when post-selection is used.
In a linear amplifier, the output signal is linearly related to the input signal with an additive noise that is independent of the input. Here we show that entanglement between the input signal and the amplifying medium can produce exponentially-large decoherence in an ideal optical amplifier even when the gain is arbitrarily close to unity and the added noise is arbitrarily small. These nonlinear effects show that the usual input/output relationship of a 'linear' amplifier does not provide a complete description of its performance.
The principal problem of light amplifiers is to find a means to amplify a coherent amplitude without decreasing the SNR. Consider a signal with amplitude squeezed quantum fluctuations, that is, less noise in the amplitude quadrature than the phase quadrature. The objective is to find a phase sensitive amplifier, which, while amplifying the coherent amplitude, adds quantum noise preferentially to the phase quadrature. We take as a concrete model for the amplifier an intracavity parametric amplifier. We go beyond the usual linear analysis and include the nonlinear regime where pump depletion is important. We find that in the linear region the quantum noise added by the amplification process may be reduced by squeezing the idler mode, while in the nonlinear regime the quantum fluctuations from the pump become more important. These results are of direct application to practical light amplifiers.
We generalize the standard quantum model (Caves 1982 Phys.Rev. D 26 1817) of the noise properties of ideal linear amplifiers to include the possibility of non-ideal behavior.We find that under many conditions the non-ideal behavior can be described simply by assuming that the internal noise source that describes the quantum noise of the amplifier is not in its ground state.We validate this model by showing that it reproduces the known predictions of two models of non-ideal amplifiers: a laser amplifier with incomplete inversion and a cascade of alternating ideal amplifiers and ideal attenuators.We also describe implications of this model for practical devices.