Comments on entanglement negativity in holographic field theories
-д хадгалсан:
| -д хэвлэсэн: | Journal of High Energy Physics vol. 2014, no. 10 (Oct 2014), p. 1 |
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| Үндсэн зохиолч: | |
| Бусад зохиолчид: | |
| Хэвлэсэн: |
Springer Nature B.V.
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| Нөхцлүүд: | |
| Онлайн хандалт: | Citation/Abstract Full Text Full Text - PDF |
| Шошгууд: |
Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!
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| Хураангуй: | 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 |
| Эх сурвалж: | Advanced Technologies & Aerospace Database |