13
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      From Classical Nonlinear Integrable Systems to Quantum Shortcuts to Adiabaticity

      Preprint
      ,

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          Using shortcuts to adiabaticity, we solve the time-dependent Schroedinger equation that is reduced to a classical nonlinear integrable equation. For a given time-dependent Hamiltonian, the counterdiabatic term is introduced to prevent nonadiabatic transitions. Using the fact that the equation for the dynamical invariant is equivalent to the Lax equation in nonlinear integrable systems, we obtain the counterdiabatic term exactly. The counterdiabatic term is available when the corresponding Lax pair exists and the solvable systems are classified in a unified and systematic way. Multisoliton potentials obtained from the Korteweg-de Vries equation and isotropic XY spin chains from the Toda equations are studied in detail.

          Related collections

          Author and article information

          Journal
          2016-03-03
          2016-08-09
          Article
          10.1103/PhysRevLett.117.070401
          1603.01053
          0ef26804-0915-4cdc-af06-1034355550a1

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          Phys. Rev. Lett. 117, 070401 (2016)
          6+6pages, 5 figures, title changed, substantially revised
          quant-ph

          Quantum physics & Field theory
          Quantum physics & Field theory

          Comments

          Comment on this article