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Abstract

Coherent quantum noise cancellation (CQNC) can be used in optomechanical




sensors to surpass the standard quantum limit (SQL). In this paper, we




investigate an optomechanical force sensor that uses the CQNC strategy by




cascading the optomechanical system with an all-optical effective negative mass




oscillator. Specifically, we analyze matching conditions, losses and compare




the two possible arrangements in which either the optomechanical or the




negative mass system couples first to light. While both of these orderings




yield a sub-SQL performance, we find that placing the effective negative mass




oscillator before the optomechanical sensor will always be advantageous for




realistic parameters. The modular design of the cascaded scheme allows for




better control of the sub-systems by avoiding undesirable coupling between




system components, while maintaining similar performance to the integrated




configuration proposed earlier. We conclude our work with a case study of a




micro-optomechanical implementation.