PIRSA:15120033

Entanglement entropy from thermodynamic entropy in one higher dimension

Maghrebi, M. (2015). Entanglement entropy from thermodynamic entropy in one higher dimension . Perimeter Institute. https://pirsa.org/15120033

Maghrebi, Mohammad. Entanglement entropy from thermodynamic entropy in one higher dimension . Perimeter Institute, Dec. 08, 2015, https://pirsa.org/15120033 

          @misc{ pirsa_PIRSA:15120033,
            doi = {10.48660/15120033},
            url = {https://pirsa.org/15120033},
            author = {Maghrebi, Mohammad},
            keywords = {Condensed Matter},
            language = {en},
            title = {Entanglement entropy from thermodynamic entropy in one higher dimension },
            publisher = {Perimeter Institute},
            year = {2015},
            month = {dec},
            note = {PIRSA:15120033 see, \url{https://pirsa.org}}
          }

Mohammad Maghrebi Michigan State University (MSU)

Talk numberPIRSA:15120033
DOI10.48660/15120033
Collection
Talk Type Scientific Series
Subject

Abstract

In recent years, entanglement has become a new frontier with applications across several fields in physics. Nevertheless, simple conceptual pictures and practical ways to quantify entanglement in many-body systems have remained elusive even for the simplest models. In this talk, I will consider entanglement and Renyi entropies as well as quantum (mutual, tripartite, etc.) information in a quantum field theory. For free field theories, I will show that quantum entropies and information can be computed and understood by analogy with the thermal Casimir effect in one higher dimension. Furthermore, I will introduce a geometrical picture for the quantum (mutual, tripartite) information as a sum over polymers establishing a connection to purely entropic effects that prove useful in deriving information inequalities.  Finally, I will show that similar ideas may be extended beyond free field theories.