A macrorealistic test in hybrid quantum optomechanics
Abstract
We discuss a scheme for macrorealistic theories of the LeggettGarg form (Leggett and Garg 1985 Phys. Rev. Lett. 54 857). Our scheme is based on a hybrid optomechanical system. It seems reasonable to test these inequalities with an optomechanical system, since in an optomechanical cavity it is possible to create nonclassical states of the mirror through a projective measurement on the cavity field. We will present the protocol to generate such nonclassicality for a general optomechanical cavity and after we will carry out a theoretical test for one of the possible formulations of these inequalities using a hybrid optomechanical system. Specifically, the inequality will be investigated for an harmonic oscillator coupled to a twolevel system, which replaces the light field of the cavity. The aim is to reproduce, with this system, the evolution of a single spin1/2 for which the inequality is violated; this is achievable through the conditioning of the twolevel system which will be used as an ancilla.
 Publication:

Journal of Physics B Atomic Molecular Physics
 Pub Date:
 April 2020
 DOI:
 10.1088/13616455/ab6d18
 arXiv:
 arXiv:1906.01295
 Bibcode:
 2020JPhB...53g5401M
 Keywords:

 LeggettGarg;
 optomechanics;
 foundations;
 temporal correlations;
 Quantum Physics
 EPrint:
 15 pages, 6 figures