When: Monday October 3 from 2 to 3 PM
Where: Cabot Division Room at Mallinckrodt
What: Mike Stopa is up for group meeting:
*Numerical method for adding spin ½ particles*
*Mike Stopa*
A standard model for many-molecule systems is to treat each molecules as a
two-level system described by a spin which is up or down. Thus the
collective state of N such molecules can be described, through the addition
of angular momentum formalism, as a state with total angular momentum J<=
N/2. In the case where an interaction Hamiltonian (such as a vector
potential of an electromagnetic field or a surface Plasmon polariton)
commutes with the total angular momentum of the composite system, J is a
conserved quantum number. Transitions induced by the interaction therefore
merely connect different values of Jz (the z-component of angular momentum).
However, to the extent that the interaction breaks this symmetry, different
values of J may be accessed.
In this talk I will describe the construction of composite angular momentum
states and their numerical computation from a collection of spin ½ systems.
This construction, and the counting of the resultant degeneracy, are
necessary first steps to model the effect of disorder in the interaction in
breaking these so-called Dicke states.
--
Joel Yuen-Zhou
PhD candidate in Chemical Physics
Harvard University CCB,
12 Oxford St. Mailbox 107,
Cambridge, MA, USA.
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