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In this work, we explore the effects of a quantum quench on the entanglement measures of a two-body coupled oscillator system having quartic interaction. We use the invariant operator method, under a perturbative framework, for computing…

高能物理 - 理论 · 物理学 2022-07-08 Sayantan Choudhury , Rakshit Mandish Gharat , Saptarshi Mandal , Nilesh Pandey , Abhishek Roy , Partha Sarker

We study the one-dimensional transverse-field spin-1/2 Ising ferromagnet at its critical point. We consider an $L$-sized subsystem of a $N$-sized ring, and trace over the states of $(N-L)$ spins, with $N\to\infty$. The full $N$-system is in…

统计力学 · 物理学 2017-07-27 Andre M. C. Souza , Peter Rapčan , Constantino Tsallis

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 the mechanism of decay of a topological (winding-number) excitation due to finite-size effects in a two-dimensional valence-bond solid state, realized in an $S=1/2$ spin model ($J$-$Q$ model) and studied using projector Monte Carlo…

统计力学 · 物理学 2015-04-09 Hui Shao , Wenan Guo , Anders W. Sandvik

In this paper we discuss the properties of the reduced density matrix of quantum many body systems with permutational symmetry and present basic quantification of the entanglement in terms of the von Neumann (VNE), Renyi and Tsallis…

统计力学 · 物理学 2015-06-03 V. Popkov , Mario Salerno

We describe an efficient theoretical criterion, suitable for indistinguishable particles to quantify the quantum correlations of any pure two-fermion state, based on the Slater rank concept. It represents the natural generalization of the…

量子物理 · 物理学 2007-05-23 Fabrizio Buscemi , Paolo Bordone , Andrea Bertoni

An entanglement measure for a bipartite quantum system is a state functional that vanishes on separable states and that does not increase under separable (local) operations. It is well-known that for pure states, essentially all…

量子物理 · 物理学 2025-08-22 Stefan Hollands , Ko Sanders

We formulate a universal characterization of the many-particle quantum entanglement in the ground state of a topologically ordered two-dimensional medium with a mass gap. We consider a disk in the plane, with a smooth boundary of length L,…

高能物理 - 理论 · 物理学 2009-11-11 Alexei Kitaev , John Preskill

Recent studies found that the diffusive transport of conserved quantities in non-integrable many-body systems has an imprint on quantum entanglement: while the von Neumann entropy of a state grows linearly in time $t$ under a global quench,…

统计力学 · 物理学 2020-07-07 Tianci Zhou , Andreas W. W. Ludwig

We use Monte Carlo methods to study spinons in two-dimensional quantum spin systems, characterizing their intrinsic size $\lambda$ and confinement length $\Lambda$. We confirm that spinons are deconfined, $\Lambda \to \infty$ and $\lambda$…

强关联电子 · 物理学 2013-07-10 Ying Tang , Anders W. Sandvik

An exponential deformation of 1D critical Hamiltonians gives rise to ground states whose entanglement entropy satisfies a volume-law. This effect is exemplified in the XX and Heisenberg models. In the XX case we characterize the crossover…

强关联电子 · 物理学 2014-11-03 Giovanni Ramírez , Javier Rodríguez-Laguna , Germán Sierra

Understanding and quantifying entanglement entropy is crucial to characterize the quantum behaviors that drive phenomena in a variety of systems. Rare-earth spin complexes, with their unique magnetic properties, provide fertile ground for…

其他凝聚态物理 · 物理学 2025-05-12 David W. Facemyer , Sergio E. Ulloa

We study the entanglement properties of a class of ground states defined by matrix product states, which are generalizations of the valence bond solid (VBS) state in one dimension. It is shown that the transfer matrix of these states can be…

强关联电子 · 物理学 2015-09-02 Raul A. Santos

We study entanglement entropy for parity-violating (time-reversal breaking) quantum field theories on $\mathbb{R}^{1,2}$ in the presence of a domain wall between two distinct parity-odd phases. The domain wall hosts a 1+1-dimensional…

高能物理 - 理论 · 物理学 2016-04-06 Taylor L. Hughes , Robert G. Leigh , Onkar Parrikar , Srinidhi T. Ramamurthy

Dramatically different from the Hermitian systems, the conventional Bulk-Boundary Correspondence (BBC) is broken in the non-Hermitian systems. In this article, we use edge entanglement entropy to characterize the topological properties of…

强关联电子 · 物理学 2022-02-16 Weitao Chen , Liangtao Peng , Hantao Lu , Xiancong Lu

We formulate a new ``Wigner characteristics'' based method to calculate entanglement entropies of subsystems of Fermions using Keldysh field theory. This bypasses the requirements of working with complicated manifolds for calculating…

统计力学 · 物理学 2020-12-30 Saranyo Moitra , Rajdeep Sensarma

We study the out-of-equilibrium time evolution after a local quench connecting two anisotropic spin-1/2 XXZ Heisenberg open chains via an impurity bond. The dynamics is obtained by means of the adaptive time-dependent density-matrix…

统计力学 · 物理学 2013-04-11 Mario Collura , Pasquale Calabrese

We report large-scale quantum Monte Carlo calculations at the T=0 antiferromagnetic to valence-bond-solid (VBS) transition of a two-dimensional S=1/2 XY model with four-spin interactions. Finite-size scaling suggests a discontinuous spin…

强关联电子 · 物理学 2007-05-23 A. W. Sandvik , R. Melko

We study the entanglement properties of the ground state in Kitaev's model. This is a two-dimensional spin system with a torus topology and nontrivial four-body interactions between its spins. For a generic partition $(A,B)$ of the lattice…

量子物理 · 物理学 2007-05-23 A. Hamma , R. Ionicioiu , P. Zanardi

In quantum spin chains, it has been observed that the incommensurability occurs near valence-bond-solid (VBS)-type solvable points, and the correlation length becomes shortest at VBS-type points. Besides, the correlation function decays…

强关联电子 · 物理学 2009-11-07 Kiyohide Nomura