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Thermomechanical two-mode squeezing in an ultrahigh Q membrane resonator

Y. S. Patil, S. Chakram, L. Chang and M. Vengalattore
Oct. 2014

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The random thermal motion of two distinct modes of a large membrane resonator are brought 'in sync' by creating a nonlinear interaction between the modes. Such 'two-mode squeezed states' present new opportunities for quantum metrology.

Abstract
We realize a nondegenerate parametric amplifier in an ultrahigh Q mechanical membrane resonator and demonstrate two-mode thermomechanical noise squeezing. Our measurements are accurately described by a two-mode model that attributes this nonlinear mechanical interaction to a substrate-mediated process which is dramatically enhanced by the quality factors of the individual modes. This realization of strong multimode nonlinearities in a mechanical platform compatible with quantum-limited optical detection and cooling makes this a powerful system for nonlinear approaches to quantum metrology, transduction between optical and phononic fields and the quantum manipulation of phononic degrees of freedom.

BibTex: 
@article{patilSqueezing2015, title = {Thermomechanical Two-Mode Squeezing in an Ultrahigh-$Q$ Membrane Resonator}, author = {Patil, Y. S. and Chakram, S. and Chang, L. and Vengalattore, M.}, journal = {Phys. Rev. Lett.}, volume = {115}, issue = {1}, pages = {017202}, numpages = {5}, year = {2015}, month = {Jun}, publisher = {American Physical Society}, doi = {10.1103/PhysRevLett.115.017202}, url = {http://link.aps.org/doi/10.1103/PhysRevLett.115.017202} }