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We show that quantum entanglement and the Heisenberg uncertainty principle are inextricably connected. Toward this end, a complete set of commuting observables (CSCO) criterion for the entanglement is developed. Assuming (A1,A2,...) and…

Quantum Physics · Physics 2013-06-17 Jinyan Zeng , Yian Lei , S. Y. Pei , X. C. Zeng

In the context of bipartite bosonic systems, two notions of classicality of correlations can be defined: P-classicality, based on the properties of the Glauber-Sudarshan P-function; and C-classicality, based on the entropic quantum discord.…

We investigate entanglement properties at quantum phase transitions of an integrable extended Hubbard model in the momentum space representation. Two elementary subsystems are recognized: the single mode of an electron, and the pair of…

Quantum Physics · Physics 2008-10-31 Alberto Anfossi , Paolo Giorda , Arianna Montorsi

We identify a general criterion for detecting entanglement of pure bipartite quantum states describing a system of two identical particles. Such a criterion is based both on the consideration of the Slater-Schmidt number of the fermionic…

Quantum Physics · Physics 2016-09-08 GianCarlo Ghirardi , Luca Marinatto

Recent experiments demonstrate the production of many thousands of neutral atoms entangled in their spin degrees of freedom. We present a criterion for estimating the amount of entanglement based on a measurement of the global spin. It…

Quantum Physics · Physics 2014-09-10 Bernd Lücke , Jan Peise , Giuseppe Vitagliano , Jan Arlt , Luis Santos , Geza Toth , Carsten Klempt

We study how well magnetic models can be implemented with ultracold bosonic atoms of two different hyperfine states in an optical superlattice. The system is captured by a two-species Bose-Hubbard model, but realizes in a certain parameter…

Statistical Mechanics · Physics 2009-07-28 Thomas Barthel , Christian Kasztelan , Ian P. McCulloch , Ulrich Schollwöck

We study the entanglement properties of a molecular three-qubit system described by the Heisenberg spin Hamiltonian with anisotropic exchange interactions and including an external magnetic field. The system exhibits first order quantum…

Quantum Physics · Physics 2015-05-14 Amit Kumar Pal , Indrani Bose

We have shown an example of semiclassical transition in \phi^4 model with positive coupling constant. This process describes a semiclassical transition between two coherent states with much smaller average number of particles in the initial…

High Energy Physics - Phenomenology · Physics 2010-11-01 Alexander Kyatkin

The condensed matter Haldane and Kane-Mele models revolutionized the understanding of what is an "insulator", as they unveiled novel classes of media that behave as metals near the surface, but are insulating in the bulk. Here, we propose…

Optics · Physics 2020-02-13 Sylvain Lannebère , Mário G. Silveirinha

We study statistical characterization of the many-body states in exactly solvable models with internal degrees of freedom. The models under consideration include the isotropic and anisotropic Heisenberg spin chain, the Hubbard chain, and a…

Condensed Matter · Physics 2009-10-28 Y. Hatsugai , M. Kohmoto , T. Koma , Y. -S. Wu , Comments

An infinite-$U$ term is introduced into the Holstein-Primakoff-transformed magnon hamiltonian of quantum Heisenberg magnetic models of spin $s$. This term removes the unphysical spin wave states on every site and truncates automatically the…

Condensed Matter · Physics 2009-10-30 Bang-Gui Liu , Gerd Czycholl

Different non-classicality criteria expressed in the form of inequalities among intensity moments and elements of photon-number distributions are applied to noisy twin beams and other two-mode states obtained from a twin beam by using a…

Quantum Physics · Physics 2018-01-24 Ievgen I. Arkhipov , Jan Peřina

Optical multi-mode systems provide large scale Hilbert spaces that can be accessed and controlled using single photon sources, linear optics and photon detection. Here, we consider the bipartite entanglement generated by coherently…

Quantum Physics · Physics 2017-10-30 Jun-Yi Wu , Holger F. Hofmann

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

After the discovery of the phenomena of light-induced excited spin state trapping (LIESST), the functional properties of metal complexes have been studied intensively. Among them, cooperative phenomena involving low spin-high spin…

Materials Science · Physics 2009-11-11 Kamel Boukheddaden , Masamichi Nishino , Seiji Miyashita , Francois Varret

We analyze two-particle binding factors of H2, LiH, and HeH+ molecules/ions with the help of our original exact diagonalization ab intio (EDABI) approach. The interelectronic correlations are taken into account rigorously within the second…

Strongly Correlated Electrons · Physics 2022-08-24 M. Hendzel , M. Fidrysiak , J. Spałek

Inspired by the method that can deterministically generated the massive entanglement through phase transitions, we study the ground state properties of a spin-1 condensate mixture, under the premise that the heteronuclear spin-exchange…

Quantum Physics · Physics 2023-06-09 Jie Zhang Longsheng Yu , Zezhen He , Pengjun Wang

The Morse potential one-dimensional quantum system is a realistic model for studying vibrations of atoms in a diatomic molecule. This system is very close to the harmonic oscillator one. We thus propose a construction of squeezed coherent…

Mathematical Physics · Physics 2015-06-03 M. Angelova , A. Hertz , V. Hussin

Summary. A simple derivation of finite Schmidt decomposition of pure states describing finite dimensional systems interacting with the infinite dimensional ones is presented. In particular, maximally entangled pure states in such systems…

Quantum Physics · Physics 2018-03-28 Roman Gielerak

We consider an important generalization of the Dicke model in which multi-level atoms, instead of two-level atoms as in conventional Dicke model, interact with a single photonic mode. We explore the phase diagram of a broad class of…

Quantum Physics · Physics 2021-11-03 Youjiang Xu , Diego Fallas Padilla , Han Pu
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