Kibble-Zurek scaling in holographic quantum quench: backreaction

Das, Sumit R.; Morita, Takeshi

doi:10.1007/jhep01(2015)084

Cited by 21 publications

(19 citation statements)

References 44 publications

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“…From the perspective of fundamental understanding, we obtained interesting pointers regarding how we can construct the dual gravitational theory directly from appropriate observables. It is to be noted that some of our results parallel interesting universal behavior of equal-time correlations and the entanglement entropy during fast quenches [21,22]. v = v in using the asymptotic expansion…”

Section: Discussionsupporting

confidence: 71%

Exact time dependence of causal correlations and nonequilibrium density matrices in holographic systems

et al. 2017

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We present the first exact calculations of the time dependence of causal correlations in driven nonequilibrium states in (2 + 1)-dimensional systems using holography. Comparing exact results with those obtained from simple prototype geometries that are parametrized only by a time dependent temperature, we find that the universal slowly varying features are controlled just by the pump duration and the initial and final temperatures only. We provide numerical evidence that the locations of the event and apparent horizons in the dual geometries can be deduced from the nonequilibrium causal correlations without any prior knowledge of the dual gravity theory.

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Section: Discussionsupporting

confidence: 71%

Exact time dependence of causal correlations and nonequilibrium density matrices in holographic systems

et al. 2017

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“…the critical region [68][69][70][71] and has led to novel dynamical phases [72][73][74][75][76]. Further, progress has been made towards observing Kibble-Zurek scaling of defect densities in symmetry breaking phase transitions [77,78].…”

Section: Jhep02(2015)167mentioning

confidence: 99%

Universality in fast quantum quenches

Das

Galante

Myers

2015

J. High Energ. Phys.

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163

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We expand on the investigation of the universal scaling properties in the early time behaviour of fast but smooth quantum quenches in a general d-dimensional conformal field theory deformed by a relevant operator of dimension ∆ with a time-dependent coupling. The quench consists of changing the coupling from an initial constant value λ 1 by an amount of the order of δλ to some other final value λ 2 , over a time scale δt. In the fast quench limit where δt is smaller than all other length scales in the problem, δt λ, δλ 1/(∆−d) , the energy (density) injected into the system scales as δE ∼ (δλ) 2 (δt) d−2∆ . Similarly, the change in the expectation value of the quenched operator at times earlier than the endpoint of the quench scales as O ∆ ∼ δλ (δt) d−2∆ , with further logarithmic enhancements in certain cases. While these results were first found in holographic studies, we recently demonstrated that precisely the same scaling appears in fast mass quenches of free scalar and free fermionic field theories. As we describe in detail, the universal scaling refers to renormalized quantities, in which the UV divergent pieces are consistently renormalized away by subtracting counterterms derived with an adiabatic expansion. We argue that this scaling law is a property of the conformal field theory at the UV fixed point, valid for arbitrary relevant deformations and insensitive to the details of the quench protocol. Our results highlight the difference between smooth fast quenches and instantaneous quenches where the Hamiltonian abruptly changes at some time.

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“…For example one can study the time evolution of the energy momentum tensor T µν or an order parameter of some symmetry breaking O (see e.g. [6][7][8][9][10][11][12]). Since we are dealing with quantum mechanical systems, the actually measured values of the observables fluctuate.…”

Section: Jhep04(2015)119 1 Introductionmentioning

confidence: 99%

Non-equilibrium scalar two point functions in AdS/CFT

Keränen

Kleinert

2015

J. High Energ. Phys.

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In the first part of the paper, we discuss different versions of the AdS/CFT dictionary out of equilibrium. We show that the Skenderis-van Rees prescription and the "extrapolate" dictionary are equivalent at the level of "in-in" two point functions of free scalar fields in arbitrary asymptotically AdS spacetimes. In the second part of the paper, we calculate two point correlation functions in dynamical spacetimes using the "extrapolate" dictionary. These calculations are performed for conformally coupled scalar fields in examples of spacetimes undergoing gravitational collapse, the AdS 2 -Vaidya spacetime and the AdS 3 -Vaidya spacetime, which allow us to address the problem of thermalization following a quench in the boundary field theory. The computation of the correlators is formulated as an initial value problem in the bulk spacetime. Finally, we compare our results for AdS 3 -Vaidya to results in the previous literature obtained using the geodesic approximation and we find qualitative agreement.

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Kibble-Zurek scaling in holographic quantum quench: backreaction

Cited by 21 publications

References 44 publications

Exact time dependence of causal correlations and nonequilibrium density matrices in holographic systems

Exact time dependence of causal correlations and nonequilibrium density matrices in holographic systems

Universality in fast quantum quenches

Non-equilibrium scalar two point functions in AdS/CFT

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