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Início
Agenda
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- 22, 23, 29 e 30 de maio de 2018
16h30
Sala
18 (Cristalografia) -
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Paul
A. Pearce
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School of
Mathematics and Statistics - University of Melbourne
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Exact
Calculation of Entanglement Entropies Lectures
1/2/3/4
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One-dimensional Hamiltonians, such as the XYZ
quantum spin chain, exhibit quantum phase transitions. The
universal behaviours at such critical points are described, in
the continuum scaling limit, by Conformal Field Theories (CFTs).
In the first instance, CFTs are characterized by a central
charge c. Entanglement entropy provides a convenient means to
determine the central charge either numerically or analytically
through entanglement “Area Laws”. In these lectures, we
review the application of Yang-Baxter methods and Corner
Transfer Matrices to obtain the exact entanglement entropy and
central charge for the unitary XYZ quantum spin chain and its
specializations. The extension of these methods to other unitary
and nonunitary models will also be discussed. In particular, we
consider the minimal models M(m,m') as the continuum scaling
limit of the RSOS(m,m') lattice models.
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