Amplification of gravitational waves signal in Michelson coherent-squeezed interferometer

TL;DR

This paper proposes a method to significantly amplify gravitational wave signals in a Michelson interferometer by using a coherent-squeezed configuration, enhancing detection sensitivity through quantum squeezing techniques.

Contribution

It introduces a novel interferometer setup combining coherent and squeezed vacuum states to amplify gravitational wave signals without affecting the main output.

Findings

Dark port intensity is amplified with increased squeezing.

Fluctuations decrease as squeezing increases.

Signal amplification is achieved under special coherent-squeezed conditions.

Abstract

Gravitational waves reaching a Michelson interferometer are expected to induce a very small change in the length of its arms causing a phase shift between them, but it is very difficult to observe the extremely small phase shift signals produced. In the present letter we show that the gravitational waves signal could be amplified by orders of magnitude by using very special conditions for a coherent-squeezed Michelson interferometer in which the coherent state enters one port of the interferometer and the squeezed vacuum enters in the other port. We treat the case where without the gravitational induced phase shift the very strong coherent state goes out of one output port while the squeezed vacuum goes out the other output port (the ``dark'' port). While the phase shift produced by the gravitation waves does not give any significant change in the strong coherent output, the light intensity in the ``dark'' port is amplified with decreased fluctuations as the squeezing increases.