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We consider the low energy spectrum of spin-1/2 two-dimensional triangular lattice models subject to a ferromagnetic Heisenberg interaction and a three spin chiral interaction of variable strength. Initially, we consider quasi-one…

Quantum Physics · Physics 2008-01-20 D. I. Tsomokos , J. J. Garcia-Ripoll , N. R. Cooper , J. K. Pachos

The different quantum phases appearing in strongly correlated systems as well as their transitions are closely related to the entanglement shared between their constituents. In 1D systems, it is well established that the entanglement…

Strongly Correlated Electrons · Physics 2015-02-04 M. Moreno-Cardoner , S. Paganelli , G. De Chiara , A. Sanpera

In this paper we study the ground state properties of a ladder Hamiltonian with chiral $SU(2)$-invariant spin interactions, a possible first step towards the construction of truly two dimensional non-trivial systems with chiral properties…

Strongly Correlated Electrons · Physics 2019-05-20 Philipp Schmoll , Andreas Haller , Matteo Rizzi , Roman Orus

We study the ground state properties of the one-dimensional extended Hubbard model at half-filling from the perspective of its particle reduced density matrix. We focus on the reduced density matrix of $2$ fermions and perform an analysis…

Strongly Correlated Electrons · Physics 2022-04-11 Diego L. B. Ferreira , Thiago O. Maciel , Reinaldo O. Vianna , Fernando Iemini

We review the properties of reduced density matrices for free fermionic or bosonic many-particle systems in their ground state. Their basic feature is that they have a thermal form and thus lead to a quasi-thermodynamic problem with a…

Statistical Mechanics · Physics 2015-05-13 Ingo Peschel , Viktor Eisler

The entanglement entropy of the ground state of a quantum lattice model with local interactions usually satisfies an area law. However, in 1D systems some violations may appear in inhomogeneous systems or in random systems. In our…

Quantum Physics · Physics 2018-05-08 Giovanni Ramírez

The fields of entanglement theory and tensor networks have recently emerged as central tools for characterising quantum phases of matter. In this article, we determine the entanglement structure of ground states of gapped symmetric quantum…

Quantum Physics · Physics 2025-10-16 Laurens Lootens , Clement Delcamp , Frank Verstraete

Entanglement is central to our understanding of many-body quantum matter. In particular, the entanglement spectrum, as eigenvalues of the reduced density matrix of a subsystem, provides a unique footprint of properties of strongly…

Strongly Correlated Electrons · Physics 2018-06-18 Marcello Dalmonte , Benoît Vermersch , Peter Zoller

Quantum critical chains are well described and understood by virtue of conformal field theory. Still the meaning of the real space entanglement spectrum -- the eigenvalues of the reduced density matrix -- of such systems remains in general…

Strongly Correlated Electrons · Physics 2015-06-23 Nicolas Laflorencie , Stephan Rachel

We investigate of the relationship between the entanglement and subsystem Hamiltonians in the perturbative regime of strong coupling between subsystems. One of the two conditions that guarantees the proportionality between these…

Strongly Correlated Electrons · Physics 2017-11-16 Sonja Predin

Topological phases are characterized by their entanglement properties, which is manifest in a direct relation between entanglement spectra and edge states discovered by Li and Haldane. We propose to leverage the power of synthetic quantum…

Quantum Gases · Physics 2022-05-04 Torsten V. Zache , Christian Kokail , Bhuvanesh Sundar , Peter Zoller

We investigate the entanglement properties of the valence-bond-solid (VBS) state defined on two-dimensional lattices, which is the exact ground state of the Affleck-Kennedy-Lieb-Tasaki model. It is shown that the entanglement entropy obeys…

Strongly Correlated Electrons · Physics 2012-01-13 Jie Lou , Shu Tanaka , Hosho Katsura , Naoki Kawashima

Bipartite entanglement measures are fantastic tools to investigate quantum phases of correlated electrons. Here, I analyze the entanglement spectrum of **gapped** two-leg quantum Heisenberg ladders on a periodic ribbon partitioned into two…

Strongly Correlated Electrons · Physics 2015-03-17 Didier Poilblanc

Entanglement constitutes one of the key concepts in quantum mechanics and serves as an indispensable tool in the understanding of quantum many-body systems. In this work, we perform extensive numerical investigations of extensive…

Strongly Correlated Electrons · Physics 2024-05-24 Chengshu Li , Xingyu Li , Yi-Neng Zhou

We investigate quantum phase transitions in which a change in the type of entanglement from bound entanglement to either free entanglement or separability may occur. In particular, we present a theoretical method to construct a class of…

Quantum Physics · Physics 2010-04-08 S. Baghbanzadeh , S. Alipour , A. T. Rezakhani

We consider a quantum simulator of the Heisenberg chain with ferromagnetic interactions based on the two-component 1D Bose-Hubbard model at filling equal to two in the strong coupling regime. The entanglement properties of the ground state…

Quantum Gases · Physics 2019-07-03 Ivan Morera , Artur Polls , Bruno Juliá-Díaz

We study the ground state (GS) many-body quantum entanglement of two different transverse field models on a quasi-2D square lattice relevant to a Hydrogen-bonded crystal, i.e, squaric acid. We measure the genuine multipartite…

Strongly Correlated Electrons · Physics 2021-02-01 Vikas Vijigiri , K G Paulson , Saptarshi Mandal , A M Jayannavar

The modular (or entanglement) Hamiltonian correspondent to the half-space-bipartition of a quantum state uniquely characterizes its entanglement properties. However, in the context of lattice models, its explicit form is analytically known…

Statistical Mechanics · Physics 2018-10-03 G. Giudici , T. Mendes-Santos , P. Calabrese , M. Dalmonte

Entanglement is a distinguishing feature of quantum many-body systems, and uncovering the entanglement structure for large particle numbers in quantum simulation experiments is a fundamental challenge in quantum information science. Here we…

Entanglement is the crucial ingredient of quantum many-body physics, and characterizing and quantifying entanglement in closed system dynamics of quantum simulators is an outstanding challenge in today's era of intermediate scale quantum…

Quantum Physics · Physics 2021-08-31 Christian Kokail , Rick van Bijnen , Andreas Elben , Benoît Vermersch , Peter Zoller
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