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    • Quantum hysteresis loops in microscopic system: The loop area as a dynamical parameter

      Chandan Kumar Mondal SP Bhattacharyya

      Rapid Communication Volume 56 Issue 1 January 2001 pp 117-126

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/056/01/0117-0126

    • Keywords

       

      Quantum hysteresis; stochastic resonance; quantum dynamics; Fourier grid methods; stochastically perturbed systems

    • Abstract

       

      The area enclosed by hysteresis loops in a periodically forced bistable microscopic system at zero-temperature is examined by using the time dependent Hellmann-Feynman theorem and the Fourier grid Hamiltonian recipe for solving time-dependent Schrödinger equation. Effects of non-zero temperatures are explored with reference to a symmetric double well potential. The barrier crossing or, relaxation rates are shown to correlate systematically with the area of the loop. The possible use of hysteresis loop area in designing field parameters for optimal control is suggested.

    • Author Affiliations

       

      Chandan Kumar Mondal1 SP Bhattacharyya1

      1. Department of Physical Chemistry, Indian Association for the Cultivation of Science, Jadavpur, Calcutta - 700 032, India

    • Dates

       
      Published
      January 2001
      Manuscript received
      9 March 2000
      Manuscript revised
      3 August 2000

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