Ground-States of Two Directed Polymers
نویسندگان
چکیده
Joint ground states of two directed polymers in a random medium are investigated. Using exact min-cost flow optimization the true two-line ground-state is compared with the single line ground state plus its first excited state. It is found that these two-line configurations are (for almost all disorder configurations) distinct implying that the true two-line ground-state is non-separable, even with ’worst-possible’ initial conditions. The effective interaction energy between the two lines scales with the system size with the scaling exponents 0.39 and 0.21 in 2D and 3D, respectively. PACS # 05.40.-a, 05.50+q, 05.70.Np, 75.50.Lk
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