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We investigate the entanglement in Hubbard models of hardcore bosons in $1D$, with an additional hardcore interaction on nearest neighbouring sites. We derive analytical formulas for the bipartite entanglement entropy for any number of…

Strongly Correlated Electrons · Physics 2019-08-07 Ioannis Kleftogiannis , Ilias Amanatidis , Vladislav Popkov

We investigate the extended Hubbard model as an approximation to the local and spatial entanglement of a one-dimensional chain of nanostructures where the particles interact via a long range interaction represented by a `soft' Coulomb…

Strongly Correlated Electrons · Physics 2011-02-03 J. P. Coe , V. V. França , I. D'Amico

Entanglement has been widely investigated in condensed matter systems since they are considered good candidates for developing quantum technologies. Additionally, entanglement is a powerful tool to explore quantum phase transitions in…

In this work, we examine the entanglement dynamics of two massive particles confined within their respective infinite square potential wells induced by gravity. Assuming that each particle is initially in the ground state of its infinite…

Quantum Physics · Physics 2025-04-16 Chi Zhang , Fu-Wen Shu

In a recent publication, we have discussed the effects of boundary conditions in finite quantum systems and their connection with symmetries. Focusing on the one-dimensional Hubbard Hamiltonian under twisted boundary conditions, we have…

Strongly Correlated Electrons · Physics 2018-08-01 Krissia Zawadzki , Irene D'Amico , Luiz N. Oliveira

We propose a spin-half approximation method for two-component condensation in double wells to discuss the quantum entanglement of two components. This approximation is presented to be valid under stationary tunneling effect for odd particle…

Quantum Physics · Physics 2007-05-23 Jing Chen , Yanqing Guo , Haijing Cao , Heshan Song

The quantum entanglement entropy of the electrons in one-dimensional hydrogen molecule is quantified locally using an appropriate partitioning of the two-dimensional configuration space. Both the global and the local entanglement entropy…

Quantum Physics · Physics 2025-10-24 Ivan P. Christov

We study the coherent dynamics of two interacting particles in a quantum double-well and show that the Shannon entropy can be a definitive signature of entanglement as an alternative to concur- rence, a connection not reported previously.…

Quantum Physics · Physics 2017-02-13 Sandeep Mishra , Anjana Bagga , Anu Venugopalan

We consider two models for a pair of interacting particles in a random potential: (i) two particles with a Hubbard interaction in arbitrary dimensions and (ii) a strongly bound pair in one dimension. Establishing suitable correpondences we…

Disordered Systems and Neural Networks · Physics 2009-10-30 Klaus Frahm , Axel Mueller-Groeling , Jean-Louis Pichard

Issues related to quantum entanglement in systems of indistinguishable particles, as discussed in the information theoretic approach, are extended to anyonic statistics. Local and non-local measurements discussed in this framework are…

Quantum Physics · Physics 2021-10-28 Ramadas N , V V Sreedhar

The study of entanglement in strongly correlated electron systems typically requires knowledge of the reduced density matrix. Here, we apply the parquet dynamical vertex approximation to study the two-site reduced density matrix at varying…

Strongly Correlated Electrons · Physics 2026-01-28 Frederic Bippus , Anna Kauch , Gergő Roósz , Christian Mayrhofer , Fakher Assaad , Karsten Held

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

In this paper, we study block-block entanglement in the ground state of one-dimensional extended Hubbard model. Our results show that the phase diagram derived from the block-block entanglement manifests richer structure than that of the…

Quantum Physics · Physics 2009-11-11 Shu-Sa Deng , Shi-Jian Gu , Hai-Qing Lin

Entanglement can be generated by two electrons in a spin-zero state on a semiconducting single-walled carbon nanotube. The two electrons, one weakly bound in a shallow well in the conduction band, and the other injected into the conduction…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Gunlycke , J. H. Jefferson , T. Rejec , A. Ramsak , D. G. Pettifor , G. A. D. Briggs

What can we learn about entanglement between individual particles in macroscopic samples by observing only the collective properties of the ensembles? Using only a few experimentally feasible collective properties, we establish an…

Quantum Physics · Physics 2007-05-23 Johannes Kofler , Caslav Brukner

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 calculate the spatial entanglement between two electrons trapped in a nanostructure for a broad class of confinement potentials, including single and double quantum dots, and core-shell quantum dot structures. By using a parametrized…

Quantum Physics · Physics 2015-05-13 S. Abdullah , J. P. Coe , I. D'Amico

The Hubbard model is a paradigmatic model of strongly correlated quantum matter, thus making it desirable to investigate with quantum simulators such as ultracold atomic gases. Here, we consider the problem of two atoms interacting in a…

Quantum Gases · Physics 2025-12-03 Haydn S. Adlong , Jesper Levinsen , Meera M. Parish

Quantum entanglement is a concept commonly used with reference to the existence of certain correlations in quantum systems that have no classical interpretation. It is a useful resource to enhance the mutual information of memory channels…

Quantum Physics · Physics 2009-11-13 Tina A. C. Maiolo , Fabio Della Sala , Luigi Martina , Giulio Soliani

The study of entanglement between bosonic systems is of primary importance for establishing feasible resources needed for implementing quantum information protocols, both in their interacting atomic or photonic realizations. Atomic systems…

Quantum Physics · Physics 2014-12-31 Fabio Gentile , Arianna Montorsi , Marco Roncaglia
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