String in AdS black hole: A thermo field dynamic approach

Cantcheff, M. Botta; Gadelha, A. L.; Marchioro, Dáfni F. Z.; Nedel, Daniel L.

doi:10.1103/physrevd.86.086006

Cited by 7 publications

(2 citation statements)

References 69 publications

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“…in [18]. One of the interesting results is that there is a drag force on the fluctuating external quark even at zero temperature, owing to radiation.…”

Section: Introductionmentioning

confidence: 99%

Entanglement from dissipation and holographic interpretation

et al. 2018

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In this work we study a dissipative field theory where the dissipation process is manifestly related to dynamical entanglement and put it in the holographic context. Such endeavour is realized by further development of a canonical approach to study quantum dissipation, which consists of doubling the degrees of freedom of the original system by defining an auxiliary one. A time dependent entanglement entropy for the vacumm state is calculated and a geometrical interpretation of the auxiliary system and the entropy is given in the context of the AdS/CFT correspondence using the Ryu-Takayanagi formula. We show that the dissipative dynamics is controlled by the entanglement entropy and there are two distinct stages: in the early times the holographic interpretation requires some deviation from classical General Relativity; in the later times the quantum system is described as a wormhole, a solution of the Einstein's equations near to a maximally extended black hole with two asymptotically AdS boundaries. We focus our holographic analysis in this regime, and suggest a mechanism similar to teleportation protocol to exchange (quantum) information between the two CFTs on the boundaries (see Maldacena et al. in Fortschr Phys 65(5):1700034, arXiv:1704.05333 [hep-th], 2017.

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“…in [18]. One of the interesting results is that there is a drag force on the fluctuating external quark even at zero temperature, owing to radiation.…”

Section: Introductionmentioning

confidence: 99%

Entanglement from dissipation and holographic interpretation

et al. 2018

Self Cite

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“…However, for a fixed time, S is an increasing function of energy 8. For applications of TFD in superstring theory see, for example,[52,[57][58][59][60].…”

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confidence: 99%

Left/right entanglement and thermalization of time dependent plane wave Green-Schwarz superstring

Marchioro,

Nedel

2020

Preprint

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In this work we study new issues involving the type IIB superstring in a time dependent plane wave background with a constant self-dual Ramond-Ramond 5-form and a linear dilaton in the light-like direction. We construct a unitary Bogoliubov generator which relates the asymptotically flat superstring Hilbert space to the finite time Hilbert space. The time dependent vacuum is a superposition of SU (1, 1) × SU (2) coherent states, which has a particular structure of excitation, characterized by a condensation of right and left moving supertring modes. We calculate the time dependent left/right entanglement entropy and carry out the summation over the oscillator modes of the superstring two-point function. We show that, close to the null singularity, the entanglement entropy is wellbehaved. In particular, for asymptotically flat observers, the closed superstring vacuum close to the singularity appears as superstring thermal vacuum, which is unitarily inequivalent to the asymptotically flat vacuum. Actually, we show that close to the singularity the superstring thermalizes and the entanglement entropy becomes a thermodynamical entropy for a supersymmetric two-dimensional gas.

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Left/right entanglement and thermalization of time dependent plane wave Green-Schwarz superstring

Marchioro

Nedel

2020

J. High Energ. Phys.

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In this work we study new issues involving the type IIB superstring in a time dependent plane wave background with a constant self-dual Ramond-Ramond 5-form and a linear dilaton in the light-like direction. We construct a unitary Bogoliubov generator which relates the asymptotically flat superstring Hilbert space to the finite time Hilbert space. The time dependent vacuum is a superposition of SU(1, 1) × SU(2) coherent states, which has a particular structure of excitation, characterized by a condensation of right and left moving supertring modes. We calculate the time dependent left/right entanglement entropy and carry out the summation over the oscillator modes of the superstring two-point function. We show that, close to the null singularity, the entanglement entropy is wellbehaved. In particular, for asymptotically flat observers, the closed superstring vacuum close to the singularity appears as superstring thermal vacuum, which is unitarily inequivalent to the asymptotically flat vacuum. Actually, we show that close to the singularity the superstring thermalizes and the entanglement entropy becomes a thermodynamical entropy for a supersymmetric two-dimensional gas.

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String in AdS black hole: A thermo field dynamic approach

Cited by 7 publications

References 69 publications

Entanglement from dissipation and holographic interpretation

Entanglement from dissipation and holographic interpretation

Left/right entanglement and thermalization of time dependent plane wave Green-Schwarz superstring

Left/right entanglement and thermalization of time dependent plane wave Green-Schwarz superstring

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