TY - JOUR
T1 - Phase anholonomy in dissipative optical systems with periodic oscillations
AU - Ning, C. Z.
AU - Haken, H.
PY - 1991/1/1
Y1 - 1991/1/1
N2 - We show that some lasers and nonlinear optical devices with dissipation have in common certain characteristics that lead to a kind of phase anholonomy when such dissipative systems undergo a periodic motion with some frequency, say. The amount of the phase anholonomy accumulated in a period of 2/ is defined generally for such systems and further calculated for a subclass of such systems near the Hopf-bifurcation point. It turns out that the phase accumulation is generally determined by the size of the periodic orbit. By constructing a simple Hamiltonian, we show precisely that the phase anholonomy in these dissipative sytems can indeed be interpreted as Berrys phase.
AB - We show that some lasers and nonlinear optical devices with dissipation have in common certain characteristics that lead to a kind of phase anholonomy when such dissipative systems undergo a periodic motion with some frequency, say. The amount of the phase anholonomy accumulated in a period of 2/ is defined generally for such systems and further calculated for a subclass of such systems near the Hopf-bifurcation point. It turns out that the phase accumulation is generally determined by the size of the periodic orbit. By constructing a simple Hamiltonian, we show precisely that the phase anholonomy in these dissipative sytems can indeed be interpreted as Berrys phase.
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U2 - 10.1103/PhysRevA.43.6410
DO - 10.1103/PhysRevA.43.6410
M3 - Article
AN - SCOPUS:35949011373
VL - 43
SP - 6410
EP - 6413
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
SN - 1050-2947
IS - 11
ER -