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The presence of a global internal symmetry in a quantum many-body system is reflected in the fact that the entanglement between its subparts is endowed with an internal structure, namely it can be decomposed as sum of contributions…

统计力学 · 物理学 2023-03-31 Gilles Parez , Riccarda Bonsignori , Pasquale Calabrese

We investigate the dynamics of the fermionic logarithmic negativity in a free-fermion chain with a localized loss, which acts as a dissipative impurity. The chain is initially prepared in a generic Fermi sea. In the standard hydrodynamic…

统计力学 · 物理学 2023-02-23 Fabio Caceffo , Vincenzo Alba

Over the past two decades, the overlap matrix approach has been developed to compute quantum entanglement in free-fermion systems, particularly to calculate entanglement entropy and entanglement negativity. This method involves the use of…

量子物理 · 物理学 2025-09-16 Jun Qi Fang , Xiao Yan Xu

We study the entanglement properties of non-Hermitian free fermionic models with translation symmetry using the correlation matrix technique. Our results show that the entanglement entropy has a logarithmic correction to the area law in…

介观与纳米尺度物理 · 物理学 2021-09-22 Yi-Bin Guo , Yi-Cong Yu , Rui-Zhen Huang , Li-Ping Yang , Run-Ze Chi , Hai-Jun Liao , Tao Xiang

The entanglement entropy of free fermions with a Fermi surface is known to obey a logarithmic scaling and violate the area law in all dimensions. Here, we would like to see how temperature affects the logarithmic scaling behavior. To this…

统计力学 · 物理学 2019-06-11 Hassan Shapourian , Shinsei Ryu

We study the scaling properties of the ground-state entanglement between finite subsystems of infinite two-dimensional free lattice models, as measured by the logarithmic negativity. For adjacent regions with a common boundary, we observe…

统计力学 · 物理学 2016-04-01 Viktor Eisler , Zoltán Zimborás

Entanglement entropy is a fundamental measure of quantum entanglement for pure states, but for large-scale many-body systems, R\'{e}nyi entanglement entropy is much more computationally accessible. For mixed states, logarithmic negativity…

强关联电子 · 物理学 2025-08-14 Fo-Hong Wang , Xiao Yan Xu

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

In this paper we study the increment of the entanglement entropy and of the (replica) logarithmic negativity in a zero-density excited state of a free massive bosonic theory, compared to the ground state. This extends the work of two…

高能物理 - 理论 · 物理学 2019-12-09 Olalla A. Castro-Alvaredo , Cecilia De Fazio , Benjamin Doyon , István M. Szécsényi

We consider the entanglement entropy for a line segment in the system of noninteracting one-dimensional fermions at zero temperature. In the limit of a large segment length L, the leading asymptotic behavior of this entropy is known to be…

介观与纳米尺度物理 · 物理学 2013-01-11 Roman Süsstrunk , Dmitri A. Ivanov

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

In a remarkable paper [Phys. Rev. Lett. 96, 100503 (2006)], Dimitri Gioev and Israel Klich conjectured an explicit formula for the leading asymptotic growth of the spatially bi-partite von-Neumann entanglement entropy of non-interacting…

数学物理 · 物理学 2015-03-03 Hajo Leschke , Alexander V. Sobolev , Wolfgang Spitzer

The recent direct experimental measurement of quantum entanglement paves the way towards a better understanding of many-body quantum systems and their correlations. Nevertheless, the experimental and theoretical advances had so far been…

统计力学 · 物理学 2019-06-18 Eyal Cornfeld , Eran Sela , Moshe Goldstein

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

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

Entanglement measures such as the entanglement entropy have become an indispensable tool to identify the fundamental character of ground states of interacting quantum many-body systems. For systems of interacting spin or bosonic degrees of…

强关联电子 · 物理学 2014-08-27 Peter Broecker , Simon Trebst

We investigate a separability criterion based on the computable cross-norm (CCNR), and a related quantity called the CCNR negativity. We introduce a reflected version of the CCNR negativity, and discuss its connection with other…

高能物理 - 理论 · 物理学 2023-10-04 Clément Berthiere , Gilles Parez

The entanglement of non-complementary regions is investigated in an inhomogeneous free-fermion chain through the lens of the fermionic logarithmic negativity. Focus is on the Krawtchouk chain, whose relation to the eponymous orthogonal…

统计力学 · 物理学 2025-06-19 Gabrielle Blanchet , Gilles Parez , Luc Vinet

Many-body entanglement unveils additional aspects of quantum matter and offers insights into strongly correlated physics. While ground-state entanglement has received much attention in the past decade, the study of mixed-state quantum…

强关联电子 · 物理学 2025-03-21 Fo-Hong Wang , Xiao Yan Xu

We study the Von Neumann and R\'enyi entanglement entropy of long-range harmonic oscillators (LRHO) by both theoretical and numerical means. We show that the entanglement entropy in massless harmonic oscillators increases logarithmically…

统计力学 · 物理学 2013-01-21 M. Ghasemi Nezhadhaghighi , M. A. Rajabpour
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