Gaussian quantum metrology in a dissipative environment

Quantum metrology pursues high-precision measurements of physical quantities by using quantum resources. However, the decoherence generally hinders its performance. Previous work found that metrological error tends to diverge in long-encoding-time regime due Born-Markovian approximate decoherence, which is called no-go theorem noisy metrology. Here we propose a Gaussian scheme bimodal quantized optical fields as probe. It achieves precision sub-Heisenberg limit ideal case. Markovian causes contributed center-of-mass mode probe be divergent. A mechanism remove this ostensible non-Markovian dynamics. Our result gives an efficient way realize practical continuous-variable systems.