Search results for: RANDOM HAMILTONIAN

• Convergence to equilibrium under a random Hamiltonian

  Publication

  • F. G. Brandao
  • P. Ćwikliński
  • M. Horodecki
  • P. Horodecki
  • J. Korbicz
  • M. Mozrzymas

  - PHYSICAL REVIEW E - Year 2012

  We analyze equilibration times of subsystems of a larger system under a random total Hamiltonian, in which the basis of the Hamiltonian is drawn from the Haar measure. We obtain that the time of equilibration is of the order of the inverse of the arithmetic average of the Bohr frequencies. To compute the average over a random basis, we compute the inverse of a matrix of overlaps of operators which permute four systems. We first...