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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/073/02/0217-0239

    • Keywords

       

      Parity; time-reversal; $\mathcal{PT}$ symmetry; integrable models; quantum mechanics.

    • Abstract

       

      One of the simplest examples of a $\mathcal{PT}$-symmetric quantum system is the scaling Yang–Lee model, a quantum field theory with cubic interaction and purely imaginary coupling. We give a historical review of some facts about this model in $d \leq 2$ dimensions, from its original definition in connection with phase transitions in the Ising model and its relevance to polymer physics, to the role it has played in studies of integrable quantum field theory and $\mathcal{PT}$-symmetric quantum mechanics. We also discuss some more general results on $\mathcal{PT}$-symmetric quantum mechanics and the ODE/IM correspondence, and mention applications to magnetic systems and cold atom physics.

    • Author Affiliations

       

      Patrick Dorey1 Clare Dunning2 Roberto Tateo3

      1. Department of Mathematical Sciences, Durham University, Durham DH1 3LE, UK
      2. IMSAS, University of Kent, Canterbury CT2 7NF, UK
      3. Dip. di Fisica Teorica and INFN, Università di Torino, Via P. Giuria 1, 10125 Torino,Italy
    • Dates

       
  • Pramana – Journal of Physics | News

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