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We investigate the application of our recent holographic entanglement negativity conjecture for higher dimensional conformal field theories to specific examples which serve as crucial consistency checks. In this context we compute the…

高能物理 - 理论 · 物理学 2022-08-31 Pankaj Chaturvedi , Vinay Malvimat , Gautam Sengupta

We advance a holographic conjecture for the entanglement negativity of bipartite quantum states in $(1+1)$-dimensional conformal field theories in the $AdS_3/CFT_2$ framework. Our conjecture exactly reproduces the replica technique results…

高能物理 - 理论 · 物理学 2018-06-06 Pankaj Chaturvedi , Vinay Malvimat , Gautam Sengupta

In the presence of symmetry, entanglement measures of quantum many-body states can be decomposed into contributions arising from distinct symmetry sectors. Here we investigate the decomposability of negativity, a measure of entanglement…

统计力学 · 物理学 2018-09-12 Eyal Cornfeld , Moshe Goldstein , Eran Sela

We obtain the entanglement negativity for various bipartite zero and finite temperature pure and mixed state configurations in a class of $(1+1)$-dimensional Galilean conformal field theories. In this context we establish a construction for…

高能物理 - 理论 · 物理学 2019-07-12 Vinay Malvimat , Himanshu Parihar , Boudhayan Paul , Gautam Sengupta

We develop a systematic method to extract the negativity in the ground state of a 1+1 dimensional relativistic quantum field theory, using a path integral formalism to construct the partial transpose rho_A^{T_2} of the reduced density…

统计力学 · 物理学 2012-10-22 Pasquale Calabrese , John Cardy , Erik Tonni

We study the application of our recent holographic entanglement negativity conjecture for mixed states of adjacent subsystems in conformal field theories with a conserved charge. In this context we obtain the holographic entanglement…

高能物理 - 理论 · 物理学 2018-11-14 Parul Jain , Vinay Malvimat , Sayid Mondal , Gautam Sengupta

Entanglement negativity is a measure of mixed-state entanglement increasingly used to investigate and characterize emerging quantum many-body phenomena, including quantum criticality and topological order. We present two results for the…

量子物理 · 物理学 2015-06-18 Huan He , Guifre Vidal

We investigate mixed state entanglement measures of entanglement negativity and reflected entropy for bipartite states in two dimensional conformal field theories with an anomaly through appropriate replica techniques. Furthermore we…

高能物理 - 理论 · 物理学 2022-06-24 Debarshi Basu , Himanshu Parihar , Vinayak Raj , Gautam Sengupta

Since the work of Ryu and Takayanagi, deep connections between quantum entanglement and spacetime geometry have been revealed. The negative eigenvalues of the partial transpose of a bipartite density operator is a useful diagnostic of…

高能物理 - 理论 · 物理学 2021-06-08 Xi Dong , Xiao-Liang Qi , Michael Walter

We calculate logarithmic negativity, a quantum entanglement measure for mixed quantum states, in quantum error-correcting codes and find it to equal the minimal cross sectional area of the entanglement wedge in holographic codes with a…

高能物理 - 理论 · 物理学 2022-02-08 Jonah Kudler-Flam , Shinsei Ryu

We report on a systematic approach for the calculation of the negativity in the ground state of a one-dimensional quantum field theory. The partial transpose rho_A^{T_2} of the reduced density matrix of a subsystem A=A_1 U A_2 is explicitly…

统计力学 · 物理学 2015-06-11 Pasquale Calabrese , John Cardy , Erik Tonni

In an attempt to find a quasi-local measure of quantum entanglement, we introduce the concept of entanglement density in relativistic quantum theories. This density is defined in terms of infinitesimal variations of the region whose…

高能物理 - 理论 · 物理学 2015-05-27 Jyotirmoy Bhattacharya , Veronika E. Hubeny , Mukund Rangamani , Tadashi Takayanagi

Vacuum entanglement is a fundamental feature of quantum field theory exhibiting rich structure that is not completely understood. Here, we provide a complete characterization of the entanglement between two bounded spacelike-separated…

高能物理 - 理论 · 物理学 2026-05-25 Jason Pye , Atharva Hingane , Robert H. Jonsson

We utilize a holographic construction to compute the entanglement negativity for bipartite mixed state configurations of a single subsystem in $CFT_d$s with a conserved charge dual to bulk $AdS_{d+1}$ geometries. In this context, we obtain…

高能物理 - 理论 · 物理学 2023-10-04 Sayid Mondal , Boudhayan Paul , Gautam Sengupta , Punit Sharma

Among all entanglement measures negativity arguably is the best known and most popular tool to quantify bipartite quantum correlations. It is easily computed for arbitrary states of a composite system and can therefore be applied to discuss…

量子物理 · 物理学 2014-09-19 Christopher Eltschka , Jens Siewert

Quantum entanglement is fragile to thermal fluctuations, which raises the question whether finite temperature phase transitions support long-range entanglement similar to their zero temperature counterparts. Here we use quantum Monte Carlo…

强关联电子 · 物理学 2020-10-07 Kai-Hsin Wu , Tsung-Cheng Lu , Chia-Min Chung , Ying-Jer Kao , Tarun Grover

In this paper, we study the entanglement structure of mixed states in quantum many-body systems using the $\textit{negativity contour}$, a local measure of entanglement that determines which real-space degrees of freedom in a subregion are…

高能物理 - 理论 · 物理学 2020-04-22 Jonah Kudler-Flam , Hassan Shapourian , Shinsei Ryu

We use the entanglement negativity, a measure of entanglement for mixed states, to probe the structure of entanglement in the ground state of a topologically ordered system. Through analytical calculations of the negativity in the ground…

量子物理 · 物理学 2015-06-16 Yirun Arthur Lee , Guifre Vidal

The entanglement negativity is a versatile measure of entanglement that has numerous applications in quantum information and in condensed matter theory. It can not only efficiently be computed in the Hilbert space dimension, but for…

量子物理 · 物理学 2018-04-25 J. Eisert , V. Eisler , Z. Zimborás

It is well known that quantum effects can produce negative energy densities, though for limited times. Here we show in the context of two-dimensional CFT that such negative energy densities are present in any non-trivial conformal vacuum…

广义相对论与量子宇宙学 · 物理学 2014-09-05 Eugenio Bianchi , Matteo Smerlak
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