Non-Lorentzian chaos and cosmological holography

Bagchi, Arjun; Chakrabortty, Shankhadeep; Grumiller, Daniel; Radhakrishnan, Bharathkumar; Riegler, Max; Sinha, Aditya

doi:10.1103/physrevd.104.l101901

Cited by 23 publications

(11 citation statements)

References 57 publications

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“…The JT model arising in the near horizon region of near extremal Kerr in 4 and 5 dimensions were investigated in [33] and later in [34,35] and were found to have many interesting non-universal features. The Lyapunov index was also computed in 3 dimensional flat geometries with a cosmological horizon both by using shock waves and the dual Galilean CFT and was found to be the temperature associated with the horizon [36]. It would be also interesting to investigate a possible effective lower dimensional gravitational theory like the JT model explaining these chaotic modes which at least in the case of BTZ do give rise to fast scrambling even at zero temperature.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Fast Scrambling due to Rotating Shockwaves in BTZ

Malvimat,

Poojary

2021

Preprint

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We study the perturbation due to rotating shockwaves in BTZ geometries at late times and analyse the change in Mutual Information between the two subsystems belonging to the dual CFT L and CFT R . We find that the scrambling of Mutual Information is in general governed by the Lyapunov index λ L which is bounded by 2π β(1−µL) ≥ 2π β where µ = r − /r + and L is the angular momentum of the shockwave. For the special case of L=1 we find the Mutual Information analytically, characterized by λ L = κ/2 and with the scrambling time for large black holes t * = β(1−µ) π log S.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Fast Scrambling due to Rotating Shockwaves in BTZ

Malvimat,

Poojary

2021

Preprint

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“…Moreover, since perturbations may propagate with infinite velocities [24,25] this is expected to yield anomalous transport properties. Indeed, numerical studies of energy transport in classical long-range interacting systems support this expectation [26][27][28][29][30][31] The long-range version of the the XY model [27,30] and the Fermi-Pasta-Ulam-Tsingou chain and were analyzed in [28,30,32,33], and violations of Fourier law were observed depending on the exponent σ of the interaction. On the quantum side, transport in a mean-field harmonic model was studied in [34]; we also refer once again to [19] and references therein for further results.…”

Section: Introductionmentioning

confidence: 87%

Classical and quantum harmonic mean-field models coupled intensively and extensively with external baths

Andreucci,

Lepri,

Ruffo

et al. 2021

Preprint

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We study the nonequilibrium steady-state of a fully-coupled network of N quantum harmonic oscillators, interacting with two thermal reservoirs. Given the long-range nature of the couplings, we consider two setups: one in which the number of particles coupled to the baths is fixed (intensive coupling) and one in which it is proportional to the size N (extensive coupling). In both cases, we compute analytically the heat fluxes and the kinetic temperature distributions using the nonequilibrium Green's function approach, both in the classical and quantum regimes. In the large N limit, we derive the asymptotic expressions of both quantities as a function of N and the temperature difference between the baths. We discuss a peculiar feature of the model, namely that the bulk temperature vanishes in the thermodynamic limit, due to a decoupling of the dynamics of the inner part of the system from the baths. At variance with usual cases, this implies that the steady state depends on the initial state of the particles in the bulk. We also show that quantum effects are relevant only below a characteristic temperature that vanishes as 1/N . In the quantum low-temperature regime the energy flux is proportional to the universal quantum of thermal conductance.

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“…The success of this formulation has principally been in the three dimensional bulk and two dimensional field theories, where various checks have been performed between the boundary and the bulk, including the matching of entropy [41][42][43], stress-tensor correlations [44], entanglement entropy [45][46][47]. Some other important advances are [48][49][50][51][52][53] and higher dimensional explorations include [54][55][56]. Crucially, the understanding of scattering processes has been lacking in this formulation.…”

Section: Introductionmentioning

confidence: 99%

Scattering Amplitudes: Celestial and Carrollian

Bagchi,

Banerjee,

Basu

et al. 2022

Preprint

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Recent attempts at the construction of holography for asymptotically flat spacetimes have taken two different routes. Celestial holography, involving a two dimensional (2d) CFT dual to 4d Minkowski spacetime, has generated novel results in asymptotic symmetry and scattering amplitudes. A different formulation, using Carrollian CFTs, has been principally used to provide some evidence for flat holography in lower dimensions. Understanding of flatspace scattering has been lacking in the Carroll framework. In this work, using ideas from Celestial holography, we show that 3d Carrollian CFTs living on the null boundary of 4d flatspace can potentially compute bulk scattering amplitudes. 3d Carrollian conformal correlators have two different branches, one depending on the null time direction and one independent of it. We propose that it is the time-dependent branch that is related to bulk scattering. We construct an explicit field theoretic example of a free massless Carrollian scalar that realises some desired properties.

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Non-Lorentzian chaos and cosmological holography

Cited by 23 publications

References 57 publications

Fast Scrambling due to Rotating Shockwaves in BTZ

Fast Scrambling due to Rotating Shockwaves in BTZ

Classical and quantum harmonic mean-field models coupled intensively and extensively with external baths

Scattering Amplitudes: Celestial and Carrollian

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