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Explorations in Holographic Entangle...

Lewkowycz, Aitor.

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Explorations in Holographic Entanglement Entropy.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Explorations in Holographic Entanglement Entropy./
作者:	Lewkowycz, Aitor.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2016,
面頁冊數:	122 p.
附註:	Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.
Contained By:	Dissertation Abstracts International78-05B(E).
標題:	Quantum physics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10167989
ISBN:	9781369223002

Explorations in Holographic Entanglement Entropy.
Lewkowycz, Aitor.

Explorations in Holographic Entanglement Entropy. - Ann Arbor : ProQuest Dissertations & Theses, 2016 - 122 p.

Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.

Thesis (Ph.D.)--Princeton University, 2016.

In this Dissertation, different aspects of holographic entanglement entropy are explored. In quantum information theory, entanglement is a useful resource needed to perform quantum operations. Entanglement entropy quantifies this resource and even if computable in quantum field theories, it is quite hard to calculate explicitly. However, in the context of gauge/gravity duality, (holographic) entanglement entropy was proposed by Ryu and Takayanagi (RT) to be captured by the area of a minimal surface in Anti DeSitter (AdS) space, which is extremely simple to compute.

ISBN: 9781369223002Subjects--Topical Terms:

726746
Quantum physics.

Explorations in Holographic Entanglement Entropy.
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500 $a Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.
500 $a Adviser: Juan Maldacena.
502 $a Thesis (Ph.D.)--Princeton University, 2016.
520 $a In this Dissertation, different aspects of holographic entanglement entropy are explored. In quantum information theory, entanglement is a useful resource needed to perform quantum operations. Entanglement entropy quantifies this resource and even if computable in quantum field theories, it is quite hard to calculate explicitly. However, in the context of gauge/gravity duality, (holographic) entanglement entropy was proposed by Ryu and Takayanagi (RT) to be captured by the area of a minimal surface in Anti DeSitter (AdS) space, which is extremely simple to compute.
520 $a We begin by using the holographic dictionary to derive the RT formula. This is done by first considering smooth bulk geometries which are dual to n copies of the boundary geometry glued in a particular way. The action of these geometries computes the Renyi entropies Sn for any integer n. We give a prescription to analytically continue the action to non-integer n and argue that, in the n → 1 limit, S1, the entanglement entropy, is given by the area of a minimal surface, reproducing the RT conjecture. That is, we reduced the RT proposal to the equality between bulk and boundary partition functions, a standard entry in the dictionary.
520 $a We then generalize the previous formalism to account for corrections due to bulk quantum fields (1/N corrections in the boundary). This allows us to derive a new formula: boundary entanglement entropy is given by the area of the minimal surface plus bulk entanglement entropy. This extends RT beyond the planar limit and we present several predictions of the proposal.
520 $a Our exploration of holographic entanglement entropy continues by considering different states: by comparing the quantum corrected entropy for nearby states we obtain the modular hamiltonian operator in bulk perturbation theory. From this expression of the modular hamiltonian, we derive that relative entropy is bulk relative entropy and that the modular flow is the bulk modular flow.
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