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We consider a one-parameter family of matrix product states of spin one particles on a periodic chain and study in detail the entanglement properties of such a state. In particular we calculate exactly the entanglement of one site with the…

Quantum Physics · Physics 2009-11-13 S. Alipour , V. Karimipour , L. Memarzadeh

We consider a free-fermion chain with a conformal defect that features an extended zero mode, and study the entanglement properties in its mixed ground state. The zero-mode induced degeneracy modifies the density of states in the…

Statistical Mechanics · Physics 2023-06-07 Luca Capizzi , Viktor Eisler

We study entanglement between the spin components of the Bardeen-Cooper-Schrieffer (BCS) ground state by calculating the full entanglement spectrum and the corresponding von Neumann entanglement entropy. The entanglement spectrum is…

Quantum Physics · Physics 2014-10-21 Xavier M. Puspus , Kristian Hauser Villegas , Francis N. C. Paraan

We study the entanglement entropy of random partitions in one- and two-dimensional critical fermionic systems. In an infinite system we consider a finite, connected (hypercubic) domain of linear extent $L$, the points of which with…

Disordered Systems and Neural Networks · Physics 2022-02-18 Gergö Roósz , István A. Kovács , Ferenc Iglói

Electronic quantum entanglement between the central chain and the two electrodes in an infinite one-dimensional two-probe device system is studied. The entanglement entropy is calculated employing the nonequilibrium Green's function method…

Mesoscale and Nanoscale Physics · Physics 2016-03-02 Yao-Sheng Li , Wen-Long You , Xue-Feng Wang

We compute the von Neumann and generalized R\'{e}nyi entanglement entropies in the ground-state of the spin-1/2 antiferromagnetic Heisenberg model on the square lattice using the modified spin-wave theory for finite lattices. The addition…

Strongly Correlated Electrons · Physics 2011-07-06 H. Francis Song , Nicolas Laflorencie , Stephan Rachel , Karyn Le Hur

We study the Heisenberg $S=1/2$ chain with random ferro- and antiferromagnetic couplings using quantum Monte Carlo simulations at ultra-low temperatures, converging to the ground state. Finite-size scaling of correlation functions and…

Strongly Correlated Electrons · Physics 2025-02-26 Sibei Li , Hui Shao , Anders W. Sandvik

We study the properties of the ground states of the one- and two-dimensional Hubbard models at half filling and moderate doping using entanglement-based measures, which we calculate numerically using the momentum-space density matrix…

Strongly Correlated Electrons · Physics 2017-07-06 G. Ehlers , J. Sólyom , Ö. Legeza , R. M. Noack

We study the entanglement Hamiltonian for the ground state of one-dimensional free fermions in the presence of an inhomogeneous chemical potential. In particular, we consider a lattice with a linear, as well as a continuum system with a…

Statistical Mechanics · Physics 2024-03-25 Riccarda Bonsignori , Viktor Eisler

The entanglement in quantum XY spin chains of arbitrary length is investigated via the geometric (measure of) entanglement. The emergence of entanglement is explained intuitively from the perspective of perturbations. The model is solved…

Quantum Physics · Physics 2011-04-06 Tzu-Chieh Wei , Smitha Vishveshwara , Paul M. Goldbart

We investigate the entanglement entropy of a block of L sites in quasifree translation-invariant spin chains concentrating on the effect of reflection symmetry breaking. The majorana two-point functions corresponding to the Jordan-Wigner…

Quantum Physics · Physics 2013-05-29 Zoltan Kadar , Zoltan Zimboras

Spin-orbital entanglement in quantum spin-orbital systems is quantified by a reduced von Neumann entropy, and is calculated for the ground state of a coupled spin-orbital chain with $SU(2)\times SU(2)$ symmetry. By analyzing the…

Strongly Correlated Electrons · Physics 2009-11-11 Yan Chen , Z. D. Wang , Y. Q. Li , F. C. Zhang

We study Renyi and von Neumann entanglement entropies in the ground state of the one dimensional quarter-filled Hubbard model with periodic boundary conditions. We show that they exhibit an unexpected dependence on system size: for L=4 mod…

Strongly Correlated Electrons · Physics 2014-10-06 Pasquale Calabrese , Fabian H. L. Essler , Andreas M. Lauchli

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…

Strongly Correlated Electrons · Physics 2014-11-03 Giovanni Ramírez , Javier Rodríguez-Laguna , Germán Sierra

The entanglement spectrum, i.e., the full distribution of Schmidt eigenvalues of the reduced density matrix, contains more information than the conventional entanglement entropy and has been studied recently in several many-particle…

Strongly Correlated Electrons · Physics 2011-02-02 Maurizio Fagotti , Pasquale Calabrese , Joel E. Moore

Entanglement in the ground state of the XY model on the infinite chain can be measured by the von Neumann entropy of a block of neighboring spins. We study a double scaling limit: the size of the block is much larger then 1 but much smaller…

Quantum Physics · Physics 2007-10-04 F. Franchini , A. R. Its , B. -Q. Jin , V. E. Korepin

Structure in quantum entanglement entropy is often leveraged to focus on a small corner of the exponentially large Hilbert space and efficiently parameterize the problem of finding ground states. A typical example is the use of matrix…

Statistical Mechanics · Physics 2023-04-17 Bart Olsthoorn

The ability to selectively measure, initialize, and reuse qubits during a quantum circuit enables a mapping of the spatial structure of certain tensor-network states onto the dynamics of quantum circuits, thereby achieving dramatic resource…

We present a statistical mechanics description to study the ground state of quantum systems. In this approach, averages for the complete system are calculated over the non-interacting energy levels. Taking different interaction parameter,…

Statistical Mechanics · Physics 2015-05-20 Andre M. C. Souza

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…

Quantum Physics · Physics 2007-05-23 A. Hamma , R. Ionicioiu , P. Zanardi
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