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@ARTICLE{Contessi:907255,
      author       = {Contessi, Daniele and Ricci, Elisa and Recati, Alessio and
                      Rizzi, Matteo},
      title        = {{D}etection of {B}erezinskii-{K}osterlitz-{T}houless
                      transition via {G}enerative {A}dversarial {N}etworks},
      journal      = {SciPost physics},
      volume       = {12},
      number       = {3},
      issn         = {2542-4653},
      address      = {Amsterdam},
      publisher    = {SciPost Foundation},
      reportid     = {FZJ-2022-01924},
      pages        = {107},
      year         = {2022},
      abstract     = {The detection of phase transitions in quantum many-body
                      systems with lowest possible prior knowledge of their
                      details is among the most rousing goals of the flourishing
                      application of machine-learning techniques to physical
                      questions. Here, we train a Generative Adversarial Network
                      (GAN) with the Entanglement Spectrum of a system
                      bipartition, as extracted by means of Matrix Product States
                      $ans\"atze.$ We are able to identify gapless-to-gapped phase
                      transitions in different one-dimensional models by looking
                      at the machine inability to reconstruct outsider data with
                      respect to the training set. We foresee that GAN-based
                      methods will become instrumental in anomaly detection
                      schemes applied to the determination of phase-diagrams.},
      cin          = {PGI-8},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-8-20190808},
      pnm          = {5221 - Advanced Solid-State Qubits and Qubit Systems
                      (POF4-522) / PASQuanS - Programmable Atomic Large-Scale
                      Quantum Simulation (817482)},
      pid          = {G:(DE-HGF)POF4-5221 / G:(EU-Grant)817482},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000782238100014},
      doi          = {10.21468/SciPostPhys.12.3.107},
      url          = {https://juser.fz-juelich.de/record/907255},
}