Driven holographic CFTs

Rangamani, Mukund; Rozali, Moshe; Wong, Anson W. C.

doi:10.1007/jhep04(2015)093

Cited by 27 publications

(47 citation statements)

References 56 publications

(102 reference statements)

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“…To complete our analysis, we construct the Pipkin diagram of our model in fig.6 by plotting the Lissajous figures at various strain frequencies and amplitudes. We observe a neat transition between a linear viscoelastic regime at low amplitude and frequency to a more complicated large regions where the response becomes highly nonlinear (notice the similarities with [51]). This last result confirms that the regime we investigated cannot be described by linear response and it displays all the main physical properties of LAOS systems.…”

Section: Nonlinear Rheologysupporting

confidence: 52%

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Nonlinear Oscillatory Shear Tests in Viscoelastic Holography

2020

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We provide the first characterization of the nonlinear and time dependent rheologic response of viscoelastic bottom-up holographic models. More precisely, we perform oscillatory shear tests in holographic massive gravity theories with finite elastic response, focusing on the large amplitude oscillatory shear (LAOS) regime. The characterization of these systems is done using several techniques: (I) the Lissajous figures, (II) the Fourier analysis of the stress signal, (III) the Pipkin diagram and (IV) the dependence of the storage and loss moduli on the amplitude of the applied strain. We find substantial evidence for a strong strain hardening mechanism, possibly related with the strong interactions regime of our dual field theory. Additionally, a crossover between a viscoelastic liquid regime at small graviton mass (compared to the temperature scale), and a viscoelastic solid regime at large values is observed. Finally, we discuss the relevance of our results for soft matter and for the understanding of the widely used homogeneous holographic models with broken translations.

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Section: Nonlinear Rheologysupporting

confidence: 52%

“…Similar studies have been performed in [51], for a CFT driven by an oscillating composite scalar operator, and [52] where a gapped holographic system has been perturbed with a homogeneous gravitational periodic driving. Some qualitative features observed in [51] are totally consistent with our findings.…”

Section: Introductionmentioning

confidence: 59%

Nonlinear Oscillatory Shear Tests in Viscoelastic Holography

2020

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“…The authors in [6] find three different phases depending upon the range of values acquired by the dimensionless combination χ = φ b ω b , namely the product of the amplitude and the frequency of the driving at the boundary. Small values of χ correspond to a dissipation dominated regime, where the horizon absorbs all the energy entering the system from the boundary.…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

Floquet scalar dynamics in global AdS

Biasi

Carracedo²,

Mas

et al. 2018

J. High Energ. Phys.

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We study periodically driven scalar fields and the resulting geometries with global AdS asymptotics. These solutions describe the strongly coupled dynamics of dual finite-size quantum systems under a periodic driving which we interpret as Floquet condensates. They span a continuous two-parameter space that extends the linearized solutions on AdS. We map the regions of stability in the solution space. In a significant portion of the unstable subspace, two very different endpoints are reached depending upon the sign of the perturbation. Collapse into a black hole occurs for one sign. For the opposite sign instead one attains a regular solution with periodic modulation. We also construct quenches where the driving frequency and amplitude are continuously varied. Quasistatic quenches can interpolate between pure AdS and sourced solutions with time periodic vev. By suitably choosing the quasistatic path one can obtain boson stars dual to Floquet condensates at zero driving field. We characterize the adiabaticity of the quenching processes. Besides, we speculate on the possible connections of this framework with time crystals.

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“…Past this point, and since the external driving remains active, the system is expected to keep absorbing energy while the apparent horizon grows without bound. Following [12], a set of different regimes will take over as for the inexorable temperature growth of the quantum system.…”

Section: Modulated Drivingsmentioning

confidence: 99%

Gravitational wave driving of a gapped holographic system

Biasi

Mas

Serantes

2019

J. High Energ. Phys.

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This work addresses the response of a holographic conformal field theory to a homogeneous gravitational periodic driving. The dual geometry is the AdS-soliton, which models a strongly coupled quantum system in a gapped phase, on a compact domain. The response is a time-periodic geometry up to a driving amplitude threshold which decreases with the driving frequency. Beyond that, collapse to a black hole occurs, signaling decoherence and thermalization in the dual theory. At some frequencies, we also find a resonant coupling to the gravitational normal modes of the AdS-soliton, yielding a nonlinearly bound state. We also speculate on the possible uses of quantum strongly coupled systems to build resonant gravitational wave detectors.

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Driven holographic CFTs

Cited by 27 publications

References 56 publications

Nonlinear Oscillatory Shear Tests in Viscoelastic Holography

Nonlinear Oscillatory Shear Tests in Viscoelastic Holography

Floquet scalar dynamics in global AdS

Gravitational wave driving of a gapped holographic system

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