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Paper   IPM / P / 16298
School of Physics
  Title:   On the Complexity of a Charged Quantum Oscillator
1.  R. Pirmoradian
2.  M.R. Tanhayi
  Status:   Published
  Journal: Journal of the Korean Physical Society
  Vol.:  102
  Year:  2020
  Pages:   77
  Supported by:  IPM
In this paper, we study the effect of both the electric and the magnetic fields on the rate of complexity growth. Our system is a charged quantum oscillator and over a period of time, we study the maximum dynamic evolution of quantum states which might lead to a strong bound on the rate of computation. We show that by turning on the electric field, the rate of complexity decreases whereas this rate has increasing behavior when the magnetic field is turned on. In this regard, we also find a critical value of the magnetic field, beyond which this rate changes its behavior drastically.

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