TY - JOUR
T1 - Equivalence between mirror-field-atom and ion-laser interactions
AU - Juárez-Amaro, R.
AU - Zúñiga-Segundo, A.
AU - Soto-Eguibar, F.
AU - Moya-Cessa, H. M.
PY - 2013/7
Y1 - 2013/7
N2 - We show that the interaction between a movable mirror with a quantized field that interacts with a two-level atom may be simplified via a transformation that involves Susskind-Glogower operators (SGO). By using this transformation it is easy to show that we can cast the Hamiltonian, after a unitary transformation, into a Hamiltonian that is equivalent to the ion-laser Hamiltonian. We would like to stress that the transformation in terms of SGO already simplifies enough the Hamiltonian in the sense that, in an exact way, it "eliminates" one of the three-subsystems, namely the quantized field.
AB - We show that the interaction between a movable mirror with a quantized field that interacts with a two-level atom may be simplified via a transformation that involves Susskind-Glogower operators (SGO). By using this transformation it is easy to show that we can cast the Hamiltonian, after a unitary transformation, into a Hamiltonian that is equivalent to the ion-laser Hamiltonian. We would like to stress that the transformation in terms of SGO already simplifies enough the Hamiltonian in the sense that, in an exact way, it "eliminates" one of the three-subsystems, namely the quantized field.
KW - Optomechanical interactions
KW - Small rotations
UR - http://www.scopus.com/inward/record.url?scp=84876952065&partnerID=8YFLogxK
U2 - 10.12785/amis/070406
DO - 10.12785/amis/070406
M3 - Artículo
SN - 1935-0090
VL - 7
SP - 1311
EP - 1315
JO - Applied Mathematics and Information Sciences
JF - Applied Mathematics and Information Sciences
IS - 4
ER -