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相关论文: Exact Analysis of Entanglement in Gapped Quantum S…

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In order to quantify entanglement between two parts of a quantum system, one of the most used estimator is the Von Neumann entropy. Unfortunately, computing this quantity for large interacting quantum spin systems remains an open issue.…

强关联电子 · 物理学 2011-05-26 S. Capponi , F. Alet , M. Mambrini

We introduce for SU(2) quantum spin systems the Valence Bond Entanglement Entropy as a counting of valence bond spin singlets shared by two subsystems. For a large class of antiferromagnetic systems, it can be calculated in all dimensions…

强关联电子 · 物理学 2009-11-13 Fabien Alet , Sylvain Capponi , Nicolas Laflorencie , Matthieu Mambrini

The von Neumann entanglement entropy of exact valence-bond ground states is studied in two frustrated one-dimensional spin chains: the spin-1/2 Majumdar-Ghosh (MG) model and the spin-3/2 J1-J2-J3 chain in its fully dimerized (FD) and…

强关联电子 · 物理学 2026-05-05 Wuttichai Pankeaw , Teparksorn Pengpan , Pruet Kalasuwan

We investigate entanglement properties in the ground state of the open/periodic SU($n$) generalized valence-bond-solid state consisting of representations of SU($n$). We obtain exact expression for the reduced density matrix of a block of…

量子物理 · 物理学 2008-04-03 Hosho Katsura , Takaaki Hirano , Vladimir E. Korepin

We study the entropy of entanglement of the ground state in a wide family of one-dimensional quantum spin chains whose interaction is of finite range and translation invariant. Such systems can be thought of as generalizations of the XY…

数学物理 · 物理学 2009-11-13 A. R. Its , F. Mezzadri , M. Y. Mo

The concept of entanglement entropy appears in multiple contexts, from black hole physics to quantum information theory, where it measures the entanglement of quantum states. We investigate the entanglement entropy in a simple model, the…

介观与纳米尺度物理 · 物理学 2015-05-13 Karyn Le Hur

Quantum entanglement plays a crucial role in quantum information, quantum teleportation and quantum computation. The information about the entanglement content between subsystems of the composite system is encoded in the Schmidt…

统计力学 · 物理学 2013-05-07 Santosh Kumar , Akhilesh Pandey

We extend the definition of the recently introduced valence bond entanglement entropy to arbitrary SU(2) wave functions of S=1/2 spin systems. Thanks to a reformulation of this entanglement measure in terms of a projection, we are able to…

强关联电子 · 物理学 2010-10-28 Fabien Alet , Ian P. McCulloch , Sylvain Capponi , Matthieu Mambrini

We study entanglement in Valence-Bond-Solid state. It describes the ground state of Affleck, Kennedy, Lieb and Tasaki quantum spin chain. The AKLT model has a gap and open boundary conditions. We calculate an entropy of a subsystem…

量子物理 · 物理学 2009-11-10 Heng Fan , Vladimir Korepin , Vwani Roychowdhury

In this work, we study the statistical behavior of entanglement in quantum bipartite systems under the Hilbert-Schmidt ensemble as assessed by the standard measure - the von Neumann entropy. Expressions of the first three exact cumulants of…

量子物理 · 物理学 2021-11-29 Youyi Huang , Lu Wei , Bjordis Collaku

We study the von Neumann entropy of the partial trace of a system of two two-level atoms (qubits) in a dispersive cavity where the atoms are interacting collectively with a single mode electromagnetic field in the cavity. We make a contrast…

量子物理 · 物理学 2021-10-01 Ram Narayan Deb

We consider the low-energy excitations of one-dimensional spin-orbital models which consist of spin waves, orbital waves, and joint spin-orbital excitations. Among the latter we identify strongly entangled spin-orbital bound states which…

强关联电子 · 物理学 2012-09-11 Wen-Long You , Andrzej M. Oleś , Peter Horsch

We investigate the von Neumann entanglement entropy as function of the size of a subsystem for permutation invariant ground states in models with finite number of states per site, e.g., in quantum spin models. We demonstrate that the…

量子物理 · 物理学 2011-07-13 Vladislav Popkov , Mario Salerno , Gunter Schuetz

We calculate the bipartite von Neumann and second R\'enyi entanglement entropies of the ground states of spin-1/2 dimerized Heisenberg antiferromagnets on a square lattice. Two distinct dimerization patterns are considered: columnar and…

强关联电子 · 物理学 2019-08-13 Leonardo S. G. Leite , R. L. Doretto

In classical physics, entropy quantifies the randomness of large systems, where the complete specification of the state, though possible in theory, is not possible in practice. In quantum physics, despite its inherently probabilistic…

量子物理 · 物理学 2022-09-28 Davi Geiger , Zvi Kedem

We study the entanglement properties of two-spin subsystems in spin-singlet states. The average entanglement between two spins is maximized in a single valence-bond (VB) state. On the other hand, $E_v^2$ (the average entanglement between a…

量子物理 · 物理学 2014-12-19 M. Q. Lone , A. Dey , S. Yarlagadda

We study quantum entanglement in the ground state of the Affleck-Kennedy-Lieb-Tasaki (AKLT) model defined on two-dimensional graphs with reflection and/or inversion symmetry. The ground state of this spin model is known as the…

量子物理 · 物理学 2010-06-01 Hosho Katsura , Naoki Kawashima , Anatol N. Kirillov , Vladimir E. Korepin , Shu Tanaka

Motivated by the limited understanding of entanglement entropy in non-asymptotically AdS spacetimes, we develop a framework in which a circular string is embedded as a quantum probe in a spherically symmetric curved spacetime, and its…

广义相对论与量子宇宙学 · 物理学 2026-04-14 Ai-chen Li , Xin-Fei Li , Xuanting Ji

We develop an approach for characterizing non-local quantum correlations in spin systems with exactly or nearly degenerate ground states. Starting with linearly independent degenerate eigenfunctions calculated with exact diagonalization we…

量子物理 · 物理学 2025-04-08 V. S. Okatev , O. M. Sotnikov , V. V. Mazurenko

In this paper we study the quantum phase transition and entanglement in s1=1/2 and s2=1 spin pair system by the exact diagonalization method. We show that, for this exactly solvable quantum bi-spin system, entanglement appears before…

量子物理 · 物理学 2009-11-13 Li-Ming Si , Ji-Xuan Hou
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