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Genuine multipartite correlations in finite-size XY chains are studied as a function of the applied external magnetic field. We find that, for low temperatures, multipartite correlations are sensitive to the parity change in the Hamiltonian…

Quantum Physics · Physics 2015-06-05 Gian Luca Giorgi , Thomas Busch

In this study, we explore the ground state phase diagram of the spin-1/2 XX chain model, which features $XZY-YZX$ type three-spin interactions (TSI). This model, while seemingly simple, reveals a rich tapestry of quantum behaviors. Our…

Quantum Physics · Physics 2024-01-24 S. Mahdavifar , F. Khastehdel Fumani , B. Haghdoost , M. R. Soltani

The fermionization regime and entanglement correlations of two distinguishable harmonically confined fermions interacting via a zero-range potential is addressed. We present two alternative representations of the ground state that we…

Quantum Physics · Physics 2021-08-25 Eloisa Cuestas , Martín D. Jiménez , Ana P. Majtey

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…

Quantum Physics · Physics 2009-11-10 Heng Fan , Vladimir Korepin , Vwani Roychowdhury

Under the second-order degenerate perturbation theory, we show that the physics of $N$ particles with arbitrary spin confined in a one dimensional trap in the strongly interacting regime can be described by super-exchange interaction. An…

Quantum Gases · Physics 2015-04-30 Li Yang , Liming Guan , Han Pu

A rigorous proof is presented of the boundedness of the entanglement entropy of a block of spins for the ground state of the one-dimensional quantum Ising model with sufficiently strong transverse field. This is proved by a refinement of…

Quantum Physics · Physics 2020-01-08 Geoffrey Grimmett , Tobias Osborne , Petra Scudo

Critical phenomena involve a structural change in the correlations of its constituents. These features can be employed in quantum simulators to assess when a criticality occurred in medium-size systems, for which phase transitions are not…

Quantum Physics · Physics 2014-11-27 Adeline Orieux , Joelle Boutari , Marco Barbieri , Mauro Paternostro , Paolo Mataloni

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…

Quantum Physics · Physics 2025-04-08 V. S. Okatev , O. M. Sotnikov , V. V. Mazurenko

For the purpose of clarifying a new approach to understanding quantum entanglement using thermofield dynamics (TFD), entanglement entropies of non-equilibrium finite-spin systems are examined for both traditional and extended cases. The…

Statistical Mechanics · Physics 2015-02-18 Koichi Nakagawa

The entanglement in a general Heisenberg antiferromagnetic chain of arbitrary spin-$s$ is investigated. The entanglement is witnessed by the thermal energy which equals to the minimum energy of any separable state. There is a characteristic…

Quantum Physics · Physics 2011-02-19 Xiang Hao , Shiqun Zhu

We study the entanglement feature of the ground state of a system composed of spin 1 and 1/2 parts. The concurrence vector is shown to be consistent with the measurement of von Neumann entropy for such system. In the light of the ground…

Quantum Physics · Physics 2007-05-23 You-Quan Li , Guo-Qiang Zhu , Xue-An Zhao

It is commonly believed that strongly interacting one-dimensional Fermi systems with gapless excitations are effectively described by Luttinger liquid theory. However, when the temperature of the system is high compared to the spin energy,…

Strongly Correlated Electrons · Physics 2011-05-17 Adrian E. Feiguin , Gregory A. Fiete

We study coherence and entanglement properties of the state space of a composite bi-fermion (two electrons pierced by $\lambda$ magnetic flux lines) at one Landau site of a bilayer quantum Hall system. In particular, interlayer imbalance…

Mesoscale and Nanoscale Physics · Physics 2014-11-04 M. Calixto , E. Pérez-Romero

In the study of entanglement in a spin chain, people often consider the nearest-neighbor spins. The motivation is the prevailing role of the short range interactions in creating quantum correlation between the 1st neighbor (1N) spins. Here,…

We investigate entanglement properties of the excited states of the spin-1/2 Heisenberg (XXX) chain with isotropic antiferromagnetic interactions, by exploiting the Bethe ansatz solution of the model. We consider eigenstates obtained from…

Strongly Correlated Electrons · Physics 2014-10-28 Jan Mölter , Thomas Barthel , Ulrich Schollwöck , Vincenzo Alba

We have investigated Haldane's conjecture for the S=2 isotropic antiferromagnetic quantum spin chain with nearest-neighbor exchange J. Using a density matrix renormalization group algorithm for chains up to L=350 spins, we find in the…

Condensed Matter · Physics 2014-10-13 U. Schollwoeck , Th. Jolicoeur

We present a proposal for the realization of entanglement Hamiltonians in one-dimensional critical spin systems with strongly interacting cold atoms. Our approach is based on the notion that the entanglement spectrum of such systems can be…

Quantum Gases · Physics 2021-02-10 R. E. Barfknecht , T. Mendes-Santos , L. Fallani

The ground-state entanglement of a single particle of the N-harmonium system (i.e., a completely-integrable model of $N$ particles where both the confinement and the two-particle interaction are harmonic) is shown to be analytically…

Quantum Physics · Physics 2014-09-30 C. L. Benavides-Riveros , I. V. Toranzo , J. S. Dehesa

We suggest using the method of quantum annealing for computing the ground state of the Heisenberg spin chains. Our initial Hamiltonian describes a spin system in a highly non-uniform magnetic field. The initial Hamiltonian gradually…

Quantum Physics · Physics 2007-05-23 G. P. Berman , V. N. Gorshkov , V. I. Tsifrinovich

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