[ALPS-users] About superposition state and DMRG

Dear ALPS users and developers: Suppose the ground-state of a quantum chain is twofold degenerate in the thermodynamic limit(L is large enough), while in a finite-size system(such as L=14,16,18), the ground state is just a superposition of these two states, and no degeneration would occur. Now my question is: Is DMRG applicable to a small size system whose ground-state is a superposition state ? ( I know that by imposing some special boundary conditions, one of the two states could be projected out. Here I need to use a standard open boundary condition. ) Any suggestion or comment would be valuable to me. sunzhaoyu2000@gmail.com