Optimal estimation of time-dependent gravitational fields with quantum optomechanical systems

We study the fundamental sensitivity that can be achieved with an ideal optomechanical system in the nonlinear regime for measurements of time-dependent gravitational fields. Using recently developed methods to solve the dynamics of a nonlinear optomechanical system with a time-dependent Hamiltonian...

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Main Authors: Sofia Qvarfort, A. Douglas K. Plato, David Edward Bruschi, Fabienne Schneiter, Daniel Braun, Alessio Serafini, Dennis Rätzel
Format: Article
Language:English
Published: American Physical Society 2021-02-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.013159
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author Sofia Qvarfort
A. Douglas K. Plato
David Edward Bruschi
Fabienne Schneiter
Daniel Braun
Alessio Serafini
Dennis Rätzel
author_facet Sofia Qvarfort
A. Douglas K. Plato
David Edward Bruschi
Fabienne Schneiter
Daniel Braun
Alessio Serafini
Dennis Rätzel
author_sort Sofia Qvarfort
collection DOAJ
description We study the fundamental sensitivity that can be achieved with an ideal optomechanical system in the nonlinear regime for measurements of time-dependent gravitational fields. Using recently developed methods to solve the dynamics of a nonlinear optomechanical system with a time-dependent Hamiltonian, we compute the quantum Fisher information for linear displacements of the mechanical element due to gravity. We demonstrate that the sensitivity cannot only be further enhanced by injecting squeezed states of the cavity field, but also by modulating the light–matter coupling of the optomechanical system. We specifically apply our results to the measurement of gravitational fields from small oscillating masses, where we show that, in principle, the gravitational field of an oscillating nanogram mass can be detected based on experimental parameters that will likely be accessible in the near-term future. Finally, we identify the experimental parameter regime necessary for gravitational wave detection with a quantum optomechanical sensor.
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spelling doaj.art-0c2468f3d22a429497d8424d9eb149cf2024-04-12T17:07:32ZengAmerican Physical SocietyPhysical Review Research2643-15642021-02-013101315910.1103/PhysRevResearch.3.013159Optimal estimation of time-dependent gravitational fields with quantum optomechanical systemsSofia QvarfortA. Douglas K. PlatoDavid Edward BruschiFabienne SchneiterDaniel BraunAlessio SerafiniDennis RätzelWe study the fundamental sensitivity that can be achieved with an ideal optomechanical system in the nonlinear regime for measurements of time-dependent gravitational fields. Using recently developed methods to solve the dynamics of a nonlinear optomechanical system with a time-dependent Hamiltonian, we compute the quantum Fisher information for linear displacements of the mechanical element due to gravity. We demonstrate that the sensitivity cannot only be further enhanced by injecting squeezed states of the cavity field, but also by modulating the light–matter coupling of the optomechanical system. We specifically apply our results to the measurement of gravitational fields from small oscillating masses, where we show that, in principle, the gravitational field of an oscillating nanogram mass can be detected based on experimental parameters that will likely be accessible in the near-term future. Finally, we identify the experimental parameter regime necessary for gravitational wave detection with a quantum optomechanical sensor.http://doi.org/10.1103/PhysRevResearch.3.013159
spellingShingle Sofia Qvarfort
A. Douglas K. Plato
David Edward Bruschi
Fabienne Schneiter
Daniel Braun
Alessio Serafini
Dennis Rätzel
Optimal estimation of time-dependent gravitational fields with quantum optomechanical systems
Physical Review Research
title Optimal estimation of time-dependent gravitational fields with quantum optomechanical systems
title_full Optimal estimation of time-dependent gravitational fields with quantum optomechanical systems
title_fullStr Optimal estimation of time-dependent gravitational fields with quantum optomechanical systems
title_full_unstemmed Optimal estimation of time-dependent gravitational fields with quantum optomechanical systems
title_short Optimal estimation of time-dependent gravitational fields with quantum optomechanical systems
title_sort optimal estimation of time dependent gravitational fields with quantum optomechanical systems
url http://doi.org/10.1103/PhysRevResearch.3.013159
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