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We derive a general expression for obtaining Holographic subregion complexity for asymptotically $AdS$ spacetimes, pertubatively around pure $AdS$ using a variational technique. An essential step in finding subregion complexity is to…

High Energy Physics - Theory · Physics 2019-07-30 Avirup Ghosh , Rohit Mishra

Higher-derivative corrections in the AdS/CFT correspondence allow us to capture finer details of the dual CFT and to explore the holographic dictionary beyond the infinite N and strong coupling limits. Following an effective field theory…

High Energy Physics - Theory · Physics 2025-03-24 Pablo A. Cano , Marina David

In this paper, we use the "complexity equals action" (CA) conjecture to explore the switchback effect in the strongly-coupled quantum field theories with finite $N$ and finite coupling effects. In the perspective of holography, this is…

High Energy Physics - Theory · Physics 2020-04-22 Jie Jiang , Zhaohui Chen , Chengcheng Liu

Holographic superconductor is an important arena for holography, as it allows concrete calculations to further understand the dictionary between bulk physics and boundary physics. An important quantity of recent interest is the holographic…

High Energy Physics - Theory · Physics 2017-05-29 Mahdi Kord Zangeneh , Yen Chin Ong , Bin Wang

An important conjecture within the AdS/CFT correspondence relates holographic spacetime to the quantum computational complexity of the dual quantum field theory. However, the quantitative understanding of this relation is still an open…

High Energy Physics - Theory · Physics 2022-12-02 Johanna Erdmenger , Marius Gerbershagen , Michal P. Heller , Anna-Lena Weigel

I investigate some properties of proposed definitions for subsystem/mixed state complexity and uncomplexity. A very strong dependence arises on the density matrix's degeneracy which gives a large separation in the scaling of maximum…

Quantum Physics · Physics 2019-01-02 Henry Stoltenberg

Warped conformal field theories in two dimensions are exotic nonlocal, Lorentz violating field theories characterized by Virasoro-Kac-Moody symmetries and have attracted a lot of attention as candidate boundary duals to warped AdS$_3$…

High Energy Physics - Theory · Physics 2023-01-19 Arpan Bhattacharyya , Gaurav Katoch , Shubho R. Roy

Quantum complexity of a thermofield double state in a strongly coupled quantum field theory has been argued to be holographically related to the action evaluated on the Wheeler-DeWitt patch. The growth rate of quantum complexity in systems…

High Energy Physics - Theory · Physics 2017-12-20 Francisco Jose Garcia Abad , Manuela Kulaxizi , Andrei Parnachev

We study holographic volume complexity for various families of holographic cosmologies with Kasner-like singularities, in particular with $AdS$, hyperscaling violating and Lifshitz asymptotics. We find through extensive numerical studies…

High Energy Physics - Theory · Physics 2024-06-25 K. Narayan , Hitesh K. Saini , Gopal Yadav

The region near a critical point is studied using holographic models of second-order phase transitions. In a previous paper, we argued that the quantum circuit complexity of the vacuum ($C_0$) is the largest at the critical point. When…

High Energy Physics - Theory · Physics 2023-02-22 Uday Sood , Martin Kruczenski

In this study, we investigate the complexity of two-phase flow (air/water) in a heterogeneous soil sample by using complex network theory, where the supposed porous media is non-deformable media, under the time-dependent gas pressure. Based…

Computational Engineering, Finance, and Science · Computer Science 2010-08-11 Hamed. O. Ghaffari , Mamdou Fall , Erman. Evgin

Recently, Chapman et al. argued that holographic complexities for defects distinguish action from volume. Motivated by their work, we study complexity of quantum states in conformal field theory with boundary. In generic two-dimensional…

High Energy Physics - Theory · Physics 2020-01-08 Yoshiki Sato , Kento Watanabe

Recently, the complexity equals any gravitational observable conjecture has been proposed in [Phys. Rev. Lett. 128, 081602 (2022)], which is an extension of the complexity equals volume proposal. These gravitational observables are referred…

High Energy Physics - Theory · Physics 2025-01-03 Hong-Yue Jiang , Meng-Ting Wang , Yu-Xiao Liu

We study holographic subregion complexity in a moving strongly coupled plasma in dimensions d = 2, 3, 4, which is holographically dual to a boosted black brane metric in a higher dimensional geometry. The proposal we employ is the one that…

High Energy Physics - Theory · Physics 2024-12-20 Mohammad Mahdi Daryaei Goki , Mohammad Ali-Akbari , Mahsa Lezgi , Vahid Esrafilian

We study the gravity duals of supercurrent solutions in the AdS black hole background with general phase structure to describe both the first and the second order phase transitions at finite temperature in strongly interacting systems. We…

High Energy Physics - Theory · Physics 2015-06-04 Xiao-Mei Kuang , Yunqi Liu , Bin Wang

Dynamical evolution of thin shells composed by different kinds of degrees of freedom collapsing within asymptotically AdS spaces is explored with the aim of investigating models of holographic thermalization of strongly coupled systems.…

High Energy Physics - Theory · Physics 2013-04-09 Walter H. Baron , Damian Galante , Martin Schvellinger

We study holographic entanglement entropy and holographic complexity in a two-charge, $\frac{1}{4}$-BPS family of solutions of type IIB supergravity, controlled by one dimensionless parameter. All the geometries in this family are…

High Energy Physics - Theory · Physics 2020-07-15 Alessandro Bombini , Giulia Fardelli

It is well known that entropy can be used to holographically establish a connection between geometry, thermodynamics and information theory. In this paper, we will use complexity to holographically establish a connection between geometry,…

High Energy Physics - Theory · Physics 2016-12-28 Davood Momeni , Mir Faizal , Kairat Myrzakulov , Ratbay Myrzakulov

A review is given of phase properties in molecular wave functions, composed of a number of (and, at least, two) electronic states that become degenerate at some nearby values of the nuclear configuration. Apart from discussing phases and…

Chemical Physics · Physics 2007-05-23 R. Englman , A. Yahalom

In this paper, we determine the electromagnetic effects on the complexity factor of radiating anisotropic cylindrical geometry in the background of $f(G,\mathcal{T})$ theory. The self-gravitating objects possessing inhomogeneous energy…

General Relativity and Quantum Cosmology · Physics 2023-09-07 M. Sharif , K. Hassan