Comments on entanglement negativity in holographic field theories
I tiakina i:
| I whakaputaina i: | Journal of High Energy Physics vol. 2014, no. 10 (Oct 2014), p. 1 |
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| Ētahi atu kaituhi: | |
| I whakaputaina: |
Springer Nature B.V.
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| Ngā marau: | |
| Urunga tuihono: | Citation/Abstract Full Text Full Text - PDF |
| Ngā Tūtohu: |
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
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| Whakarāpopotonga: | Abstract We explore entanglement negativity, a measure of the distillable entanglement contained in a quantum state, in relativistic field theories in various dimensions. We first give a general overview of negativity and its properties and then explain a well known result relating (logarithmic) negativity of pure quantum states to the Rényi entropy (at index 1/2), by exploiting the simple features of entanglement in thermal states. In particular, we show that the negativity of the thermofield double state is given by the free energy difference of the system at temperature T and 2 T respectively. We then use this result to compute the negativity in the vacuum state of conformal field theories in various dimensions, utilizing results that have been derived for free and holographic CFTs in the literature. We also comment upon general lessons to be learnt about negativity in holographic field theories. |
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| ISSN: | 1029-8479 |
| DOI: | 10.1007/JHEP10(2014)060 |
| Puna: | Advanced Technologies & Aerospace Database |