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 lattices as information processors

Kibe, Tanay; Mukhopadhyay, Ayan; Swain, Hareram; Soloviev, Alexander

doi:10.1103/physrevd.102.086008

Cited by 7 publications

(8 citation statements)

References 48 publications

(126 reference statements)

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“…A heuristic connection with our approach readily emerges from the observation that (nearly) AdS 2 holography can capture many aspects of SYK systems [44]. Thus a lattice of AdS 2 throats representing a fragmented AdS 2 × R 2 geometry recently proposed as a model for quantum black hole microstates [45] could be actually also relevant for our approach. A DMFT type setup in which we can replace the impurity Anderson atom by such an AdS 2 throat with a few fermionic fields can provide a paradigm to understand thermodynamic reasons why the parameters of the critical sector can have range of values which can reproduce properties of the strange metallic phase at optimal doping.…”

Section: Discussionmentioning

confidence: 99%

Linear-in-$T$ resistivity from semiholographic non-Fermi liquid models

Douçot,

Mukhopadhyay,

Policastro

et al. 2020

Preprint

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We construct a semi-holographic effective theory in which the electron of a two-dimensional band hybridizes with a fermionic operator of a critical holographic sector, while also interacting with other bands that preserve quasiparticle characteristics. Besides the scaling dimension ν of the fermionic operator in the holographic sector, the effective theory has two dimensionless couplings α and γ determining the holographic and Fermi-liquid-type contributions to the self-energy respectively. When ∼ 0.67 < ν <∼ 0.8, the DC resistivity is linear in T to a remarkably good approximation in a narrow range of α/γ and over a range of temperatures extending from about 0.3 EF to about 20 − 40 EF for small couplings. For higher values of ν lesser than unity which realizes a marginal Fermi liquid with a specific temperature dependence of the self-energy, we also find linear-in-T resistivity to reasonably good approximation in an even wider range of temperatures that extends to arbitrarily small values.

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Section: Discussionmentioning

confidence: 99%

Linear-in-$T$ resistivity from semiholographic non-Fermi liquid models

Douçot,

Mukhopadhyay,

Policastro

et al. 2020

Preprint

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“…We will argue that certain simplified models could be promising for understanding many (if not all) aspects of these issues. This class of models described in [251] essentially simplify some of the otherwise untractable aspects of quantum gravity in a suitable way, and can be studied in the same spirit as the setups described earlier in this review. One key aspect of this class of models is to give prominence to hair degrees of freedom on the horizon which are essentially (approximately) conserved (non-)gravitational charges whose role in the information paradox have been emphasised in [252,253].…”

Section: Microstate Dynamics: Towards Understanding Quantum Black Hol...mentioning

confidence: 99%

“…Hawking evaporation occurs due to appropriate asymptotic boundary conditions at the throats. This figure is from [251].…”

Section: Microstate Dynamics: Towards Understanding Quantum Black Hol...mentioning

confidence: 99%

Holographic spacetime, black holes and quantum error correcting codes: A review

Kibe,

Mandayam,

Mukhopadhyay

2021

Preprint

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This article reviews the progress in our understanding of the reconstruction of the bulk spacetime in the holographic correspondence from the dual field theory including an account of how these developments have led to the reproduction of the Page curve of the Hawking radiation from black holes. We review quantum error correction and relevant recovery maps with toy examples based on tensor networks, and discuss how it provides the desired framework for bulk reconstruction in which apparent inconsistencies with properties of the operator algebra in the dual field theory are naturally resolved. The importance of understanding the modular flow in the dual field theory has been emphasized. We discuss how the state-dependence of reconstruction of black hole microstates can be formulated in the framework of quantum error correction with inputs from extremal surfaces along with a quantification of the complexity of encoding of bulk operators. Finally, we motivate and discuss a class of tractable microstate models of black holes which can illuminate how the black hole complementarity principle can emerge operationally without encountering information paradoxes, and provide new insights into generation of desirable features of encoding into the Hawking radiation.

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“…This feature will be helpful for us to deduce the dynamical consequences of the hybrid quasinormal modes. Linear semi-holographic couplings leading to such an energy-momentum tensor of the full system have been explored in other contexts in [20,21]. 4 The equation of motion for the boundary scalar field from (2.8) is…”

Section: Novel Scalar Semiholographymentioning

confidence: 99%

Quasinormal modes of a semi-holographic black brane and thermalization

Mondkar

Mukhopadhyay

Rebhan

et al. 2021

J. High Energ. Phys.

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We study the quasinormal modes and non-linear dynamics of a simplified model of semi-holography, which consistently integrates mutually interacting perturbative and strongly coupled holographic degrees of freedom such that the full system has a total conserved energy. We show that the thermalization of the full system can be parametrically slow when the mutual coupling is weak. For typical homogeneous initial states, we find that initially energy is transferred from the black brane to the perturbative sector, later giving way to complete transfer of energy to the black brane at a slow and constant rate, while the entropy grows monotonically for all time. Larger mutual coupling between the two sectors leads to larger extraction of energy from the black brane by the boundary perturbative system, but also quicker irreversible transfer of energy back to the black brane. The quasinormal modes replicate features of a dissipative system with a softly broken symmetry including the so-called k-gap. Furthermore, when the mutual coupling is below a critical value, there exists a hybrid zero mode with finite momentum which becomes unstable at higher values of momentum, indicating a Gregory-Laflamme type instability. This could imply turbulent equipartitioning of energy between the boundary and the holographic degrees of freedom in the presence of inhomogeneities.

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SL(2, R) lattices as information processors

Cited by 7 publications

References 48 publications

Linear-in-$T$ resistivity from semiholographic non-Fermi liquid models

Linear-in-$T$ resistivity from semiholographic non-Fermi liquid models

Holographic spacetime, black holes and quantum error correcting codes: A review

Quasinormal modes of a semi-holographic black brane and thermalization

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