Optically Levitating Dielectrics in the Quantum Regime: Theory and Protocols

Author(s)
Oriol Romero-Isart, Anika Carmen Pflanzer, Mathieu L. Juan, Romain Quidant, Nikolai Kiesel, Markus Aspelmeyer, J. Ignacio Cirac
Abstract

We provide a general quantum theory to describe the coupling of light with the motion of a dielectric object inside a high-finesse optical cavity. In particular, we derive the total Hamiltonian of the system as well as a master equation describing the state of the center-of-mass mode of the dielectric and the cavity-field mode. In addition, a quantum theory of elasticity is used to study the coupling of the center-of-mass motion with internal vibrational excitations of the dielectric. This general theory is applied to the recent proposal of using an optically levitating nanodielectric as a cavity optomechanical system [see Romero-Isart et al., New J. Phys. 12, 033015 (2010); Chang et al., Proc. Natl. Acad. Sci. USA 107, 1005 (2010)]. On this basis, we also design a light-mechanics interface to prepare non-Gaussian states of the mechanical motion, such as quantum superpositions of Fock states. Finally, we introduce a direct mechanical tomography scheme to probe these genuine quantum states by time-of-flight experiments.

Organisation(s)
Quantum Optics, Quantum Nanophysics and Quantum Information
External organisation(s)
Max-Planck-Institute of Quantum Optics, The Institute of Photonic Sciences
Journal
Physical Review A
Volume
83
No. of pages
23
ISSN
1050-2947
DOI
https://doi.org/10.1103/PhysRevA.83.013803
Publication date
2011
Peer reviewed
Yes
Austrian Fields of Science 2012
103026 Quantum optics
Portal url
https://ucris.univie.ac.at/portal/en/publications/optically-levitating-dielectrics-in-the-quantum-regime-theory-and-protocols(ec5d741b-dbd3-4e1c-8559-974a71c1db99).html