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In this note we show how the Quantum Information Metric can be computed holographically using a perturbative approach. In particular when the deformation of the conformal field theory state is induced by a scalar operator the corresponding…

高能物理 - 理论 · 物理学 2017-09-19 Andrea Trivella

We present a formula for the information metric on $\mathbb{R} \times {S}^{d-1}$ for a scalar primary operator of integral dimension $\Delta \, (\,\, > \frac{d+1}{2})$. This formula is checked for various space-time dimensions $d$ and…

高能物理 - 理论 · 物理学 2017-10-25 Dongsu Bak , Andrea Trivella

The information metric on the space of boundary coupling constants in two-dimensional conformal field theories is studied. Such a metric is related to the Casimir energy difference of the theory defined on an interval. We concretely compute…

高能物理 - 理论 · 物理学 2023-05-24 Kenta Suzuki , Yu-ki Suzuki , Takashi Tsuda , Masataka Watanabe

Using the volume proposal, we compute the change of complexity of holographic states caused by a small conformal transformation in AdS$_{3}$/CFT$_{2}$. This computation is done perturbatively to second order. We give a general result and…

高能物理 - 理论 · 物理学 2019-06-11 Mario Flory , Nina Miekley

We use the AdS/CFT correspondence to study a thermally isolated conformal field theory in four dimensions which undergoes a repeated deformation by an external periodic time-dependent source coupled to an operator of dimension Delta. The…

高能物理 - 理论 · 物理学 2013-12-03 Roberto Auzzi , Shmuel Elitzur , Sven Bjarke Gudnason , Eliezer Rabinovici

A concept of measuring the quantum distance between two different quantum states which is called quantum information metric is presented. The holographic principle (AdS/CFT) suggests that the quantum information metric $G_{\lambda\lambda}$…

高能物理 - 理论 · 物理学 2018-08-15 Chong-Bin Chen , Wen-Cong Gan , Fu-Wen Shu , Bo Xiong

We construct smeared CFT operators which represent a scalar field in AdS interacting with gravity. The guiding principle is micro-causality: scalar fields should commute with themselves at spacelike separation. To O(1/N) we show that a…

高能物理 - 理论 · 物理学 2014-03-26 Daniel Kabat , Gilad Lifschytz

We present a perturbative approach to the problem of computation of mixed-state fidelity susceptibility (MFS) for thermal states. The mathematical techniques used provides an analytical expression for the MFS as a formal expansion in terms…

统计力学 · 物理学 2014-11-11 N. S. Tonchev

We present how the surface/state correspondence, conjectured in arXiv:1503.03542, works in the setup of AdS3/CFT2 by generalizing the formulation of cMERA. The boundary states in conformal field theories play a crucial role in our…

高能物理 - 理论 · 物理学 2015-10-28 Masamichi Miyaji , Tokiro Numasawa , Noburo Shiba , Tadashi Takayanagi , Kento Watanabe

We analyze the dynamical response functions of strongly interacting quantum critical states described by conformal field theories (CFTs). We construct a self-consistent holographic model that incorporates the relevant scalar operator…

高能物理 - 理论 · 物理学 2016-10-12 Robert C. Myers , Todd Sierens , William Witczak-Krempa

We consider weakly-coupled QFT in AdS at finite temperature. We compute the holographic thermal two-point function of scalar operators in the boundary theory. We present analytic expressions for leading corrections due to local quartic…

高能物理 - 理论 · 物理学 2021-06-30 Luis F. Alday , Murat Kologlu , Alexander Zhiboedov

We study the thermodynamic properties of warped AdS$_3$ black hole within the framework of thermodynamic information geometry. Our analysis focuses on finding the set of proper thermodynamic Riemannian metrics on the space of equilibrium…

高能物理 - 理论 · 物理学 2019-06-19 H. Dimov , R. C. Rashkov , T. Vetsov

An information-geometrical interpretation of AdS3/CFT2 correspondence is given. In particular, we consider an inverse problem in which the classical spacetime metric is given in advance and then we find what is the proper quantum…

高能物理 - 理论 · 物理学 2014-08-28 Hiroaki Matsueda

Modeling communication channels as thermal systems results in Hamiltonians which are an explicit function of the temperature. The first two authors have recently generalized the second thermodynamic law to encompass systems with…

统计力学 · 物理学 2008-07-29 Ido Kanter , Ori Shental , Hadar Efraim , Nadav Yacov

We use flat-space holography to calculate the mutual information and the 3-partite information of a two-dimensional BMS-invariant field theory (BMSFT$_2$). This theory is the putative holographic dual of the three-dimensional asymptotically…

高能物理 - 理论 · 物理学 2018-08-29 Mohammad Asadi , Reza Fareghbal

In the context of relating AdS/CFT to quantum information theory, we propose a holographic dual of Fisher information metric for mixed states in the boundary field theory. This amounts to a holographic measure for the distance between two…

高能物理 - 理论 · 物理学 2018-08-29 Souvik Banerjee , Johanna Erdmenger , Debajyoti Sarkar

Majorana fermions are a fascinating medium for discovering new phases of matter. However, the standard analytical tools are very limited in probing the non-perturbative aspects of interacting Majoranas in more than one dimensions. Here, we…

强关联电子 · 物理学 2020-03-06 Paolo Maraner , Jiannis K. Pachos , Giandomenico Palumbo

We compute three-point correlators between the stress-energy tensor and conserved currents of conformal field theories (CFTs) in 2+1 dimensions. We first compute the correlators in the large-flavor-number expansion of conformal gauge…

强关联电子 · 物理学 2014-10-06 Debanjan Chowdhury , Suvrat Raju , Subir Sachdev , Ajay Singh , Philipp Strack

The study of R\'enyi mutual information (RMI) sheds light on the AdS/CFT correspondence beyond classical order. In this article, we study the R\'enyi mutual information between two intervals at large distance in two-dimensional holographic…

高能物理 - 理论 · 物理学 2020-01-08 Bin Chen , Peng-Xiang Hao , Wei Song

Using the AdS/CFT correspondence we model the behaviour of the two point correlator of an operator with arbitrary scale dimension $\Delta$ in arbitrary spacetime dimension $d$ for small but non-zero temperature. The obtained propagator…

高能物理 - 理论 · 物理学 2023-05-31 Borut Bajc , Adrian R. Lugo
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