“School of Particles And Accelerator”

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Paper   IPM / Particles And Accelerator / 17463
School of Particles and Accelerator
  Title:   Symmetry-Resolved Entanglement Entropy for Local and Non-local QFTs
1.  Reza Pirmoradian
2.  Mohammad Reza Tanhayi
  Status:   Submitted
  Year:  2023
  Supported by:  IPM
In this paper, we study symmetry-resolved entanglement entropy in free bosonic quan- tum many-body systems. Precisely, by making use of the lattice regularization scheme, we compute symmetry-resolved R´enyi entropies for free complex scalar fields as well as for a simple class of non-local field theories in which entanglement entropy exhibits volume- law scaling. We present effective expressions for the eigenvalues of the correlation matrix used to compute the symmetry-resolved entanglement entropy and show that they are consistent with the numerical results. Furthermore, we explore the equipartition of en- tanglement entropy and verify an effective equipartition in the massless limit. Finally, we make a comment on the entanglement entropy in the non-local quantum field theories and write down an explicit expression for the symmetry-resolved R´enyi entropies.

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