Stochastic Motion of Heavy Quarks in Holography: A Theory-Independent Treatment

Giataganas, Dimitrios

doi:10.22323/1.318.0032

Cited by 5 publications

(5 citation statements)

References 110 publications

(152 reference statements)

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“…The only energy scale in the Green's function is the temperature. This is in line with the problem of drift of a heavy quark through neutral N = 4 super-Yang-Mills (SYM) plasma, dual to a dragging string in AdSS background [38,39,77] and many subsequent works in the same setup [78][79][80][81][82]: in this case the quasiparticle does not see the charges of the D1-D5-p system. 16 This can be ascribed to the fact that the additional charges of the D1-D5-p system are global and the quasiparticle is neutral with respect to them.…”

Section: Jhep04(2024)025supporting

confidence: 72%

Correlation functions for open strings and chaos

Ðukić,

Čubrović

2024

J. High Energ. Phys.

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We study the holographic interpretation of the bulk instability, i.e. the bulk Lyapunov exponent in the motion of open classical bosonic strings in AdS black hole/brane/string backgrounds. In the vicinity of homogeneous and isotropic horizons the bulk Lyapunov exponent saturates the MSS chaos bound but in fact has nothing to do with chaos as our string configurations live in an integrable sector. In the D1-D5-p black string background, the bulk Lyapunov exponent is deformed away from the MSS value both by the rotation (the infrared deformation) and the existence of an asymptotically flat region (the ultraviolet deformation). The dynamics is still integrable and has nothing to do with chaos (either in gravity or in field theory). Instead, the bulk Lyapunov scale captures the imaginary part of quasinormal mode frequencies. Therefore, the meaning of the bulk chaos is that it determines the thermal decay rate due to the coupling to the heat bath, i.e. the horizon.

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Section: Jhep04(2024)025supporting

confidence: 72%

Correlation functions for open strings and chaos

Ðukić,

Čubrović

2024

J. High Energ. Phys.

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“…Worldsheet Horizon: Stochastic forces on a heavy particle lives on the boundary is related to the dual string worldsheet horizon [39,40]. Therefore study of worldsheet behavior could be significant.…”

Section: Holographic Setupmentioning

confidence: 99%

Spiraling string in Gauss–Bonnet geometry

Atashi

Fadafan

2020

Physics Letters B

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In this paper, we consider a spiraling string falling in the bulk with Gauss−Bonnet geometry that is holographically dual to a heavy particle rotating through a hot plasma at finite coupling. One finds such interesting simple problem provides a novel perspective on different channels of the energy loss in the corresponding strongly coupled theory. Depends on the sign of the coupling, one observes that the influence of finite coupling on total energy loss and contribution of drag force and radiation channels appears as a shift on curves with respect to the plasma with infinite coupling. Also we found that crossover between regime in which drag force contribution is predominant to regime in which energy loss is due to radiation, does not depend on the Gauss−Bonnet coupling.

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“…One aim is to provide a framework to study the strong coupling problems in the condensed matter systems (see [13] for a review). The holographic approach has also be adapted to tackle the problems of the Brownian motion of a particle moving in a strongly coupled environment [10,11,[14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. The idea is that a particle immersed in a environment given by the quantum field corresponds to a bulk fundamental string ended at the boundary of the dual gravity theory.…”

Section: Introductionmentioning

confidence: 99%

Time evolution of entanglement entropy of moving mirrors influenced by strongly coupled quantum critical fields

Lee

Yeh

2019

J. High Energ. Phys.

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The evolution of the Von Neumann entanglement entropy of a n-dimensional mirror influenced by the strongly coupled d-dimensional quantum critical fields with a dynamic exponent z is studied by the holographic approach. The dual description is a n + 1-dimensional probe brane moving in the d + 1-dimensional asymptotic Lifshitz geometry ended at r = r b , which plays a role as the UV energy cutoff. Using the holographic influence functional method, we find that in the linear response region, by introducing a harmonic trap for the mirror, which serves as a IR energy cutoff, the Von Neumann entropy at late times will saturate by a power-law in time for generic values of z and n. The saturated value and the relaxation rate depend on the parameter α ≡ 1 + (n + 2)/z, which is restricted to 1 < α < 3 but α = 2. We find that the saturated values of the entropy are qualitatively different for the theories with 1 < α < 2 and 2 < α < 3. Additionally, the power law relaxation follows the rate ∝ t −2α−1 . This probe brane approach provides an alternative way to study the time evolution of the entanglement entropy in the linear response region that shows the similar power-law relaxation behavior as in the studies of entanglement entropies based on Ryu-Takayanagi conjecture. We also compare our results with quantum Brownian motion in a bath of relativistic free fields.Entanglement entropies provide useful probes to non-local properties of quantum systems, which are important for understanding quantum phase transitions [1], and moreover are the key quantities in quantum information processing [2]. The idea of entanglement entropies has also received much attention in connection to the information paradox in black hole physics [3]. It is generally impossible to isolate a particular quantum system in which we are interested from its surrounding. Considering a full theory that describes the interaction between system and environment, from which all information like correlation functions can in principle be obtained. Tracing or integrating out the degrees of freedom of the environment to obtain an effective field theory for the system leads to a loss of information. If the quantum state in the full theory is a pure state, namely a zero entropy state, tracing out the environmental degrees of freedom yields a reduced density matrix for the degrees of freedom of the system, which typically becomes a mixed state with non-vanishing entropy. The Von-Neumann entropy is a measure of the loss of information in the process of integrating out some degrees of freedom in the full unitary system [4,5]. The effective theory can be described by the reduced density matrix ρ r , which is obtained by tracing out the environmental variables in the full density matrix using the method of Feyman-Vernon influence functional [6]. The Von Neumann entropy is then defined by −T rρ r ln ρ r with the trace over system's variables. In general, the effective theory for the system obtained in this way is not unitary, and it can lead to the dissipative and stochastic...

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Stochastic Motion of Heavy Quarks in Holography: A Theory-Independent Treatment

Cited by 5 publications

References 110 publications

Correlation functions for open strings and chaos

Correlation functions for open strings and chaos

Spiraling string in Gauss–Bonnet geometry

Time evolution of entanglement entropy of moving mirrors influenced by strongly coupled quantum critical fields

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