Temperature dependence of entanglement of purification in the presence of a chemical potential

Amrahi, B.; Ali-Akbari, M.; Asadi, Mohsen

doi:10.1103/physrevd.103.086019

Cited by 12 publications

(3 citation statements)

References 26 publications

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“…As mentioned before, the theory we study in this paper enjoys a critical point at µ = πT / √ 2. The behavior of different observables near this critical point has been studied in [38][39][40][41][42][43][44]. In all cases it was shown that the critical exponent is θ = 1 2 .…”

Section: Critical Exponentmentioning

confidence: 99%

“…Different aspects of this background have been investigated. Indeed, it was shown that various quantities such as R-charge conductivity [38], complexity [39], mutual information [40] and entanglement of purification [41,42] remain finite, while their slopes diverge at the critical point with the same critical exponent θ = 1 2 . The value of the dynamical critical exponent was also confirmed in [43] and [44] by studying the non-hydrodynamical quasi normal modes (QNMs) of the external fields and quantum quench in this background, respectively.…”

Section: Introductionmentioning

confidence: 99%

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Critical behaviour of hydrodynamic series

Asadi,

Soltanpanahi,

Taghinavaz

2021

Preprint

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We investigate the time-dependent perturbations of strongly coupled N = 4 SYM theory at finite temperature and finite chemical potential with a second order phase transition. This theory is modelled by a top-down Einstein-Maxwell-dilaton description which is a consistent truncation of the dimensional reduction of type IIB string theory on AdS 5 ×S 5 . We focus on spin-1 and spin-2 sectors of perturbations and compute the linearized hydrodynamic transport coefficients up to the third order in gradient expansion. We also determine the radius of convergence of the hydrodynamic mode in spin-1 sector and the lowest non-hydrodynamic modes in spin-2 sector. Analytically, we find that all the hydrodynamic quantities have the same critical exponent near the critical point θ = 1 2 . Moreover, we establish a relation between symmetry enhancement of the underlying theory and vanishing the only third order hydrodynamic transport coefficient θ 1 , which appears in the shear dispersion relation of a conformal theory on a flat background.

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Section: Critical Exponentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Critical behaviour of hydrodynamic series

Asadi,

Soltanpanahi,

Taghinavaz

2021

Preprint

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“…The holographic renormalization and the far from equilibrium homogeneous isotropization dynamics were presented in [78]. The evolution of holographic complexity [125], the holographic entanglement entropy and mutual information [126], the entanglement of purification [127], and the critical behavior of the hydrodynamic derivative series [128] were also analyzed for the 1RCBH model. The far from equilibrium Bjorken flow dynamics and the analysis of the hydrodynamization times of the medium, including the vicinity of the critical point, were presented in [80].…”

Section: Holographic Bjorken Flow For the 1rcbh Plasmamentioning

confidence: 99%

Holographic entropy production in a Bjorken expanding hot and dense strongly coupled quantum fluid

Rougemont¹,

Barreto²

2022

Preprint

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We analyze the time evolution of several physical observables, like the pressure anisotropy, the scalar condensate, the charge density, and also, for the first time, the non-equilibrium entropy for a Bjorken expanding strongly coupled N = 4 Supersymmetric Yang-Mills plasma charged under an Abelian U (1) subgroup of the global SU (4) R-symmetry. This represents a far-from-equilibrium, hot and dense strongly coupled quantum fluid with a critical point in its phase diagram. For some sets of initial data preserving all the energy conditions, dynamically driven transient violations of the dominant and the weak energy conditions are observed when the plasma is still far from the hydrodynamic regime. The energy conditions violations get stronger at larger values of the chemical potential to temperature ratio, µ/T , indicating that those violations become more relevant as the strongly coupled quantum fluid approaches its critical regime. For some of those energy conditions violations, it is observed a clear correlation with different plateau structures formed in the far from equilibrium entropy, indicating the presence of transient, early time windows where the Bjorken expanding plasma has zero entropy production even while being far from equilibrium. The hydrodynamization of the pressure anisotropy, and also the much later thermalization of the scalar condensate, seen for the first time in this work, are generally found to be delayed, within small relative tolerances, as µ/T is increased towards criticality. The value of µ/T in the medium is enhanced by increasing its initial charge density, and/or also by reducing its initial energy density.

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Non-conformal behavior of holographic entanglement measures

Ali-Akbari

Asadi

Amrahi

2022

J. High Energ. Phys.

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We evaluate the holographic entanglement entropy, HEE, holographic mutual information, HMI, and holographic entanglement of purification, EoP, in a non-conformal model at zero and finite temperature. In order to find the analytical results we consider some specific regimes of the parameter space. We find that the non-conformal effects decrease the redefined HEE and increase the redefined HMI and EoP in the all studied regimes. On the other side, the temperature effects increase (decrease) the redefined HEE (HMI) in the all studied regimes while it has no definite effect on the redefined EoP. Finally, from the information point of view, we find that in the vicinity of the phase transition the zero temperature state is more favorable than the finite temperature one.

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Temperature dependence of entanglement of purification in the presence of a chemical potential

Cited by 12 publications

References 26 publications

Critical behaviour of hydrodynamic series

Critical behaviour of hydrodynamic series

Holographic entropy production in a Bjorken expanding hot and dense strongly coupled quantum fluid

Non-conformal behavior of holographic entanglement measures

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