Ground-States of Two Directed Polymers

@article{Petaja2001GroundStatesOT,
  title={Ground-States of Two Directed Polymers},
  author={Viljo Petaja and Mikko J. Alava and Heiko Rieger},
  journal={International Journal of Modern Physics C},
  year={2001},
  volume={12},
  pages={421-436}
}
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 with "worst-possible" initial conditions, where the two lines start next to each other. It is found that these two-line configurations are (for almost all disorder configurations) distinct implying that the true two-line ground-state is nonseparable, which means that the… 
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