• Entanglement in non-Hermitian quantum theory

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      https://www.ias.ac.in/article/fulltext/pram/073/03/0485-0498

    • Keywords

       

      Entanglement; non-Hermitian Hamiltonians; $\mathcal{PT}$ symmetry.

    • Abstract

       

      Entanglement is one of the key features of quantum world that has no classical counterpart. This arises due to the linear superposition principle and the tensor product structure of the Hilbert space when we deal with multiparticle systems. In this paper, we will introduce the notion of entanglement for quantum systems that are governed by non-Hermitian yet $\mathcal{PT}$ -symmetric Hamiltonians. We will show that maximally entangled states in usual quantum theory behave like non-maximally entangled states in $\mathcal{PT}$ -symmetric quantum theory. Furthermore, we will show how to create entanglement between two $\mathcal{PT}$ qubits using non-Hermitian Hamiltonians and discuss the entangling capability of such interaction Hamiltonians that are non-Hermitian in nature.

    • Author Affiliations

       

      Arun K Pati1

      1. Institute of Physics, Sachivalaya Marg, Bhubaneswar 751 005, India
    • Dates

       
  • Pramana – Journal of Physics | News

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