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We introduce a systematic framework to calculate the bipartite entanglement entropy of a compact spatial subsystem in a one-dimensional quantum gas which can be mapped into a noninteracting fermion system. We show that when working with a…

统计力学 · 物理学 2015-05-28 Pasquale Calabrese , Mihail Mintchev , Ettore Vicari

We study the entanglement between disjoint subregions in quantum critical systems through the lens of the logarithmic negativity. We work with systems in arbitrary dimensions, including conformal field theories and their corresponding…

强关联电子 · 物理学 2024-05-06 Gilles Parez , William Witczak-Krempa

We consider the logarithmic negativity, a measure of bipartite entanglement, in a general unitary 1+1-dimensional massive quantum field theory, not necessarily integrable. We compute the negativity between a finite region of length $r$ and…

高能物理 - 理论 · 物理学 2016-12-20 Olivier Blondeau-Fournier , Olalla A. Castro-Alvaredo , Benjamin Doyon

The Eigenstate Thermalization Hypothesis (ETH) provides a way to understand how an isolated quantum mechanical system can be approximated by a thermal density matrix. We find a class of operators in (1+1)-$d$ conformal field theories,…

高能物理 - 理论 · 物理学 2017-08-30 Pallab Basu , Diptarka Das , Shouvik Datta , Sridip Pal

Quantum phase transitions occur at zero temperature and involve the appearance of long-range correlations. These correlations are not due to thermal fluctuations but to the intricate structure of a strongly entangled ground state of the…

量子物理 · 物理学 2008-11-26 G. Vidal , J. I. Latorre , E. Rico , A. Kitaev

Three-dimensional conformal field theories (CFTs) of deconfined gauge fields coupled to gapless flavors of fermionic and bosonic matter describe quantum critical points of condensed matter systems in two spatial dimensions. An important…

高能物理 - 理论 · 物理学 2012-05-15 Igor R. Klebanov , Silviu S. Pufu , Subir Sachdev , Benjamin R. Safdi

We investigate the entanglement entropy (EE) of circular entangling cuts in the 2+1-dimensional quantum Lifshitz model, whose ground state wave function is a spatially conformal invariant state of the Rokhsar-Kivelson type, whose weight is…

统计力学 · 物理学 2016-09-15 Tianci Zhou , Xiao Chen , Thomas Faulkner , Eduardo Fradkin

Entanglement entropy provides a powerful characterization of two-dimensional gapped topological phases of quantum matter, intimately tied to their description by topological quantum field theories (TQFTs). Fracton topological orders are…

强关联电子 · 物理学 2018-03-08 Han Ma , A. T. Schmitz , S. A. Parameswaran , Michael Hermele , Rahul M. Nandkishore

We analyze the effect of decoherence, modelled by local quantum channels, on quantum critical states and we find universal properties of the resulting mixed state's entanglement, both between system and environment and within the system.…

量子物理 · 物理学 2023-07-05 Yijian Zou , Shengqi Sang , Timothy H. Hsieh

Correlation functions and entanglement are two different aspects to characterize quantum many-body states. While many correlation functions are experimentally accessible, entanglement entropy (EE), the simplest characterization of quantum…

强关联电子 · 物理学 2022-12-20 Zhiyuan Yao , Lei Pan , Shang Liu , Pengfei Zhang

We study the behavior of the entanglement entropy in $(2+1)$--dimensional strongly coupled theories via the AdS/CFT correspondence. We consider theories at a finite charge density with a magnetic field, with their holographic dual being…

高能物理 - 理论 · 物理学 2015-10-06 Tameem Albash , Clifford V. Johnson , Scott MacDonald

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

We study the scaling of logarithmic negativity between adjacent subsystems in critical fermion chains with various inhomogeneous modulations through numerically calculating its recently established lower and upper bounds. For random…

无序系统与神经网络 · 物理学 2020-08-19 Gergő Roósz , Zoltán Zimborás , Róbert Juhász

We consider a sublattice-symmetric free-fermion model on a one-dimensional lattice with random hopping amplitudes decaying with the distance as $|t_l|\sim l^{-\alpha}$, and address the question how far an analogue of the random-singlet…

无序系统与神经网络 · 物理学 2022-04-20 Róbert Juhász

We study the ratio of the entropy to the total energy in conformal field theories at finite temperature. For the free field realizations of {\cal N}=4 super Yang-Mills theory in D=4 and the (2,0) tensor multiplet in D=6, the ratio is…

高能物理 - 理论 · 物理学 2009-11-07 D. Klemm , A. C. Petkou , G. Siopsis

Quantifying the entangling capability of quantum operations is a fundamental task in quantum information science. Traditionally, this capability is measured by the entangling power (EP), defined as the average entanglement generated when a…

量子物理 · 物理学 2026-01-30 Kyoungho Cho , Jeongho Bang

The entanglement entropy (EE) can measure the entanglement between a spatial subregion and its complement, which provides key information about quantum states. Here, rather than focusing on specific regions, we study how the entanglement…

强关联电子 · 物理学 2019-02-21 William Witczak-Krempa

Numerical studies of the reduced density matrix of a gapped spin-1/2 Heisenberg antiferromagnet on a two-leg ladder find that it has the same form as the Gibbs density matrix of a gapless spin-1/2 Heisenberg antiferromagnetic chain at a…

强关联电子 · 物理学 2013-08-28 Xiao Chen , Eduardo Fradkin

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 study the entanglement between soft and hard particles produced in generic scattering processes in QED. The reduced density matrix for the hard particles, obtained via tracing over the entire spectrum of soft photons, is shown to have a…

高能物理 - 理论 · 物理学 2021-08-20 Anastasios Irakleous , Theodore N Tomaras , Nicolaos Toumbas