“School of Particles And Accelerator”

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Paper   IPM / Particles And Accelerator / 17384
School of Particles and Accelerator
  Title:   Complexity of Thermofield double state for a Harmonic Oscillator with an External Field
  Author(s): 
1.  F Khorasani
2.  Reza Pirmoradian
3.  Mohammad Reza Tanhayi
  Status:   Submitted
  Journal:
  Year:  2023
  Supported by:  IPM
  Abstract:
In this paper, we study the computational complexity of Gaussian states for a harmonic oscillator subjected to an external electric field. We use Nielsen's geometric approach to obtain the so-called complexity of the thermofield double state for a harmonic oscillator, and then by numerical analysis, we investigate the effect of the appeared parameters on the complexity. Precisely, by numerical analysis, we consider the effect of an external electric field on the dynamics of complexity. Our results indicate that turning on the electric field may reduce the system's complexity.

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