%0 Journal Article %1 Cheung2011Nonadiabatic %A Cheung, H. K. %A Law, C. K. %D 2011 %I American Physical Society %J Physical Review A %K theory trapping optomechanics quadratic-optomechanics %N 2 %P 023812+ %R 10.1103/physreva.84.023812 %T Nonadiabatic optomechanical Hamiltonian of a moving dielectric membrane in a cavity %U http://dx.doi.org/10.1103/physreva.84.023812 %V 84 %X We formulate a nonrelativistic Hamiltonian in order to describe the interaction between a moving dielectric membrane and radiation pressure. Such a Hamiltonian is derived without making use of the single-mode adiabatic approximation, and linear approximation and hence, it enables us to incorporate multimode effects in cavity optomechanics. By performing a second quantization, we show how a set of generalized Fock states can be constructed to represent quantum states of the membrane and cavity field. In addition, we discuss examples showing how photon scattering among different cavity modes would modify the interaction strengths and the mechanical frequency of the membrane.

@article{Cheung2011Nonadiabatic, abstract = {{We formulate a nonrelativistic Hamiltonian in order to describe the interaction between a moving dielectric membrane and radiation pressure. Such a Hamiltonian is derived without making use of the single-mode adiabatic approximation, and linear approximation and hence, it enables us to incorporate multimode effects in cavity optomechanics. By performing a second quantization, we show how a set of generalized Fock states can be constructed to represent quantum states of the membrane and cavity field. In addition, we discuss examples showing how photon scattering among different cavity modes would modify the interaction strengths and the mechanical frequency of the membrane.}}, added-at = {2013-09-09T23:59:35.000+0200}, author = {Cheung, H. K. and Law, C. K.}, biburl = {https://www.bibsonomy.org/bibtex/2ae0e5665ba0cc3d49b1e63d046f6afc2/jacksankey}, citeulike-article-id = {9666876}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/physreva.84.023812}, doi = {10.1103/physreva.84.023812}, interhash = {ceb3a1cbba23e5275e92504c224135ce}, intrahash = {ae0e5665ba0cc3d49b1e63d046f6afc2}, journal = {Physical Review A}, keywords = {theory trapping optomechanics quadratic-optomechanics}, month = aug, number = 2, pages = {023812+}, posted-at = {2011-08-14 03:55:30}, priority = {2}, publisher = {American Physical Society}, timestamp = {2013-09-10T00:19:32.000+0200}, title = {{Nonadiabatic optomechanical Hamiltonian of a moving dielectric membrane in a cavity}}, url = {http://dx.doi.org/10.1103/physreva.84.023812}, volume = 84, year = 2011 }