• Does the classically chaotic Henon-Heiles oscillator exhibit quantum chaos under intense laser fields?

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    • Keywords


      Quantum chaos; coupled oscillators; multiphoton processes; high-order harmonics generation

    • Abstract


      The quantum dynamics of an electron moving under the Henon-Heiles (HH) potential in the presence of external time-dependent (TD) laser fields of varying intensities have been studied by evolving in real time the unperturbed ground-state wave function φ (x, y, t) of the HH oscillator. The TD Schrödinger equation is solved numerically and the system is allowed to generate its own wave packet. Two kinds of sensitivities, namely, sensitivity to the initial quantum state and to the Hamiltonian, are examined. The threshold intensity of the laser field for an electron moving in the HH potential to reach its continuum is identified and in this region quantum chaos has been diagnosed through a combination of various dynamical signatures such as the autocorrelation function, quantum ‘phase-space’ volume, ‘phase-space’ trajectory, distance function and overlap integral (akin to quantum fidelity or Loschmidt echo), in terms of the sensitivity towards an initial state characterized by a mixture of quantum states (wave packet) brought about by small changes in the Hamiltonian, rather than a ‘pure’ quantum state (a single eigenstate). The similarity between the HH potential and atoms/molecules in intense laser fields is also analyzed.

    • Author Affiliations


      Neetu Gupta1 B M Deb2 3

      1. Theoretical Chemistry Group, Department of Chemistry, Panjab University, Chandigarh - 160 014, India
      2. S.N. Bose National Centre for Basic Sciences, JD Block, Sector-III, Salt Lake, Kolkata - 700 098, India
      3. Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bangalore - 560 064, India
    • Dates

  • Pramana – Journal of Physics | News

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