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相关论文: Inhomogeneous XX spin chains and quasi-exactly sol…

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We consider a class of quantum quenches in the spin-1/2 XXZ chain, where the initial state is of a simple product form. Specific examples are the N\'eel state, the dimer state and the q-deformed dimer state. We compute determinant formulas…

统计力学 · 物理学 2015-06-17 B. Pozsgay

A spin 1/2 system on a honeycomb lattice is studied. The interactions between nearest neighbors are of XX, YY or ZZ type, depending on the direction of the link; different types of interactions may differ in strength. The model is solved…

介观与纳米尺度物理 · 物理学 2009-11-11 Alexei Kitaev

We study a two-parameter family of quantum spin systems on the complete graph, which is the most general model invariant under the complex orthogonal group. In spin $S=\frac{1}{2}$ it is equivalent to the XXZ model, and in spin $S=1$ to the…

数学物理 · 物理学 2022-03-03 Kieran Ryan

We study the relative entanglement entropy (EE) among various primary excited states in two critical spin chains: the S=1/2 XXZ chain and the transverse field Ising chain at criticality. For the S=1/2 XXZ chain, which corresponds to c=1…

统计力学 · 物理学 2017-09-26 Yuya O. Nakagawa , Tomonori Ugajin

We show that spin and fermion representations for solvable quantum chains lead in general to different reduced density matrices if the subsystem is not singly connected. We study the effect for two sites in XX and XY chains as well as for…

统计力学 · 物理学 2015-05-14 Ferenc Igloi , Ingo Peschel

We show the boundedness of entanglement entropy for (bipartite) pure states of quantum spin chains implies split property of subsystems. As a corollary the infinite volume ground states for 1-dim spin chains with the spectral gap between…

数学物理 · 物理学 2011-09-28 Taku Matsui

In this work, we investigate an exactly solvable two-leg spin ladder with three-spin interactions. We obtain analytically the finite-size corrections of the low-lying energies and determine the central charge as well as the scaling…

统计力学 · 物理学 2012-08-30 D. Eloy , J. C. Xavier

We establish that the leading critical scaling of the single-copy entanglement is exactly one half of the entropy of entanglement of a block in critical infinite spin chains in a general setting, using methods of conformal field theory.…

量子物理 · 物理学 2009-11-11 R. Orus , J. I. Latorre , J. Eisert , M. Cramer

We provide a theoretical set up for studying the dynamics in quantum spin chain models with inhomogeneous two-body interaction. We frame in our formalism models that can be mapped into a fermion system with a quadratic Hamiltonian. Local…

量子物理 · 物理学 2015-05-20 Giuseppe Genovese

We present a general theory of the corrections to the asymptotic behaviour of the Renyi entropies which measure the entanglement of an interval A of length L with the rest of an infinite one-dimensional system, in the case when this is…

统计力学 · 物理学 2011-02-16 John Cardy , Pasquale Calabrese

We investigate entanglement of strongly interacting fermions in spatially inhomogeneous environments. To quantify entanglement in the presence of spatial inhomogeneity, we propose a local-density approximation (LDA) to the entanglement…

强关联电子 · 物理学 2008-03-24 V. V. França , K. Capelle

The study of the entanglement dynamics plays a fundamental role in understanding the behaviour of many-body quantum systems out of equilibrium. In the presence of a globally conserved charge, further insights are provided by the knowledge…

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

We calculate the entanglement entropy of a non-contiguous subsystem of a chain of free fermions. The starting point is a formula suggested by Jin and Korepin, \texttt{arXiv:1104.1004}, for the reduced density of states of two disjoint…

数学物理 · 物理学 2021-04-16 L. Brightmore , G. P. Geher , A. R. Its , V. E. Korepin , F. Mezzadri , M. Y. Mo , J. A. Virtanen

We study the antiferromagnetic XYZ spin chain with quenched bond randomness, focusing on a critical line between localized Ising magnetic phases. A previous calculation using the spectrum-bifurcation renormalization group, and assuming…

无序系统与神经网络 · 物理学 2022-01-12 Brenden Roberts , Olexei I. Motrunich

We consider one-dimensional quantum spin chain, which is called XX model, XX0 model or isotropic XY model in a transverse magnetic field. We study the model on the infinite lattice at zero temperature. We are interested in the entropy of a…

量子物理 · 物理学 2016-09-08 B. -Q. Jin , V. E. Korepin

For a systematic study of charge degrees of freedom in lattices with geometric frustration, we consider spinless fermions on the checkerboard lattice with nearest-neighbor hopping $t$ and nearest-neighbor repulsion $V$ at quarter-filling.…

强关联电子 · 物理学 2007-12-03 F. Pollmann , J. J. Betouras , E. Runge , P. Fulde

We propose a new correlator in one-dimensional quantum spin chains, the $s-$Emptiness Formation Probability ($s-$EFP). This is a natural generalization of the Emptiness Formation Probability (EFP), which is the probability that the first…

强关联电子 · 物理学 2007-12-04 J. P. Keating , F. Mezzadri , M. Novaes

We derive the quasiparticle picture for the fermionic logarithmic negativity in a tight-binding chain subject to gain and loss dissipation. We focus on the dynamics after the quantum quench from the fermionic N\'eel state. We consider the…

统计力学 · 物理学 2023-10-03 Vincenzo Alba , Federico Carollo

We study random XY and (dimerized) XX spin-1/2 quantum spin chains at their quantum phase transition driven by the anisotropy and dimerization, respectively. Using exact expressions for magnetization, correlation functions and energy gap,…

无序系统与神经网络 · 物理学 2015-06-25 H. Rieger , R. Juhasz , F. Igloi

We investigate the phase diagram and critical properties of a one-dimensional $\mathbb{Z}_{2}$ lattice gauge theory describing an orthogonal metal, where spinless fermions and Ising spins are minimally coupled to a deconfined…

强关联电子 · 物理学 2026-03-19 Bachana Beradze , Mikheil Tsitsishvili , Sergej Moroz