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Open Access Publications from the University of California

Many-body localization as a large family of localized ground states

  • Author(s): Dupont, M
  • Laflorencie, N
  • et al.

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© 2019 American Physical Society. Many-body localization (MBL) addresses the absence of thermalization in interacting quantum systems, with nonergodic high-energy eigenstates behaving as ground states, only area-law entangled. However, computing highly excited many-body eigenstates using exact methods is very challenging. Instead, we show that one can address high-energy MBL physics using ground-state methods, which are much more amenable to many efficient algorithms. We find that a localized many-body ground state of a given interacting disordered Hamiltonian H0 is a very good approximation for a high-energy eigenstate of a parent Hamiltonian, close to H0 but more disordered. This construction relies on computing the covariance matrix, easily achieved using density-matrix renormalization group for disordered Heisenberg chains up to L=256 sites.

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