“School of Particles And Accelerator”

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Paper   IPM / Particles And Accelerator / 15859
School of Particles and Accelerator
  Title:   Complexity for Charged Thermofield Double States
1.  Mehregan Doroudiani
2.  Ali Naseh
3.  Reza Pirmoradian
  Status:   Published
  Journal: JHEP
  No.:  120
  Vol.:  2001
  Year:  2020
  Supported by:  IPM
Motivated by recent developments in studying the complexity of thermofield double states and the holographic complexity proposals in charged black hole backgrounds, here we use Nielsen's geometric approach to examine the complexity of the simple model of a charged thermofield double state constructed from two free complex scalar fields. We show that this state factorizes between positively and negatively charged modes and demonstrate that this can be used to translate the problem into that of two uncharged thermofield double states with shifted temperatures and times. We evaluate the complexity of formation for the charged thermofield double, both numerically and in certain analytic expansions, and present numerical results for the time dependence of complexity. We compare various aspects of these results to those obtained in holography for charged black holes.

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