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Quantum entanglement and quantum squeezing are two most typical approaches tobeat the standard quantum limit (SQL) of the sensitive phase estimations inquantum metrology. Each of them has already been utilized individually toimprove the sensitivity of electric field sensing with the trapped ionplatform, but the upper bound of the demonstrated sensitivity gain is verylimited, i.e., the experimental 3dB and theoretical 6dB, over the SQL. Here, bysimultaneously using the internal (spin)-external (oscillator) stateentanglements and the oscillator squeezings to effectively amplify theaccumulation phase, we show that these sensitivity gains can be effectivelysurpassed. Hopefully, the proposal provides a novel approach to the strongerbeaten of the SQL for the sensitive sensings of the desired electric field andalso the other metrologies.

Sub-SQL electronic field sensing by simultaneously using quantum entanglements and squeezings