Abstract
In the conformal field theories given by the Ising and Dirac models, when the system is in the ground
state, the moments of the reduced density matrix of two disjoint intervals and of its partial transpose have
been written as partition functions on higher genus Riemann surfaces with Zn symmetry. We show that
these partition functions can be expressed as the grand canonical partition functions of the two-dimensional
two component classical Coulomb gas on certain circular lattices at specific values of the coupling
constant
state, the moments of the reduced density matrix of two disjoint intervals and of its partial transpose have
been written as partition functions on higher genus Riemann surfaces with Zn symmetry. We show that
these partition functions can be expressed as the grand canonical partition functions of the two-dimensional
two component classical Coulomb gas on certain circular lattices at specific values of the coupling
constant
| Original language | English |
|---|---|
| Pages (from-to) | 141605 |
| Number of pages | 6 |
| Journal | Physical Review Letters |
| Volume | 127 |
| DOIs | |
| Publication status | Published - 30 Sept 2021 |
Keywords
- entanglement entropy
- Conformal Field theory