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Analytically solvable Hamiltonians for quantum two-level systems and their dynamics

  • Autori: Messina, A.; Nakazato, H.
  • Anno di pubblicazione: 2014
  • Tipologia: Articolo in rivista (Articolo in rivista)
  • Parole Chiave: Quantum two-level system; Solvable model; Time-dependent Hamiltonian; Mathematical Physics; Physics and Astronomy (all); Statistical and Nonlinear Physics; Modeling and Simulation; Statistics and Probability


A simple systematic way of obtaining analytically solvable Hamiltonians for quantum two-level systems is presented. In this method, a time-dependent Hamiltonian and the resulting unitary evolution operator are connected through an arbitrary function of time, furnishing us with new analytically solvable cases. The method is surprisingly simple, direct, and transparent and is applicable to a wide class of two-level Hamiltonians with no involved constraint on the input function. A few examples illustrate how the method leads to simple solvable Hamiltonians and dynamics.