Non-Hermitian dynamics from Hermitian systems: Do-it-yourself

Braulio M. Villegas-Martínez, Francisco Soto-Eguibar, Héctor M. Moya-Cessa, Sergio A. Hojman, Felipe A. Asenjo

Research output: Contribution to journalArticlepeer-review

Abstract

We show that several Hamiltonians that are symmetric may be taken to Hermitian Hamiltonians via a non-unitary transformation and vice versa. Therefore, a recipe to produce tractable non-Hermitian Hamiltonians is given (a set of instructions to do it yourself). We also show that for some specific Hamiltonians such non-unitary transformations may be associated, via a fractional-Wick rotation, to complex time.

Original languageEnglish
Article number2450178-1
JournalModern Physics Letters B
DOIs
StateAccepted/In press - 2024
Externally publishedYes

Keywords

  • Non-unitary transformations
  • Symmetric Hamiltonians
  • Wick rotation

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