Entanglement entropy and Möbius transformations for critical fermionic chains
| Autor: | Filiberto Ares, Fernando Falceto, J. G. Esteve, Amilcar R. de Queiroz |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
High Energy Physics - Theory
Statistics and Probability Physics Quantum Physics Statistical and Nonlinear Physics Quantum entanglement 01 natural sciences 010305 fluids & plasmas Theoretical physics 0103 physical sciences Statistics Probability and Uncertainty 010306 general physics Condensed Matter - Statistical Mechanics Mathematical Physics |
| Zdroj: | Journal of Statistical Mechanics: Theory and Experiment. 2017:063104 |
| ISSN: | 1742-5468 |
| DOI: | 10.1088/1742-5468/aa71dc |
| Popis: | Entanglement entropy may display a striking new symmetry under M\"obius transformations. This symmetry was analysed in our previous work for the case of a non-critical (gapped) free homogeneous fermionic chain invariant under parity and charge conjugation. In the present work we extend and analyse this new symmetry in several directions. First, we show that the above mentioned symmetry also holds when parity and charge conjugation invariance are broken. Second we extend this new symmetry to the case of critical (gapless) theories. Our results are further supported by numerical analysis. For some particular cases, analytical demonstrations show the validity of the extended symmetry. We finally discuss the intriguing parallelism of this new symmetry and space-time conformal transformations. Comment: 38 pages, 8 figures. Final version published in JSTAT. Typos corrected, references updated |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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