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We study the role that both vacuum fluctuations and vacuum entanglement of a scalar field play in identifying the spacetime topology, which is not prescribed from first principles---neither in general relativity or quantum gravity. We…

Quantum Physics · Physics 2016-02-10 Eduardo Martin-Martinez , Alexander R. H. Smith , Daniel R. Terno

In this paper we address the question: where in configuration space is the entanglement between two particles located? We present a thought-experiment, equally applicable to discrete or continuous-variable systems, in which one or both…

Quantum Physics · Physics 2007-05-23 H. -C. Lin , A. J. Fisher

We show that for all n-mode Gaussian states of continuous variable systems, the entanglement shared among n parties exhibits the fundamental monogamy property. The monogamy inequality is proven by introducing the Gaussian tangle, an…

Quantum Physics · Physics 2007-05-23 Tohya Hiroshima , Gerardo Adesso , Fabrizio Illuminati

We address the problem of entanglement protection against surrounding noise by a procedure suitably exploiting spatial indistinguishability of identical subsystems. To this purpose, we take two initially separated and entangled identical…

The robust generation and manipulation of entangled multiphoton states on-chip has an essential role in quantum computation and communication. Lattice topology has emerged as a means of protecting photonic states from disorder but…

We demonstrate that the entropy of entanglement and the distillable entanglement of regions with respect to the rest of a general harmonic lattice system in the ground or a thermal state scale at most as the boundary area of the region.…

Quantum Physics · Physics 2009-11-11 M. Cramer , J. Eisert , M. B. Plenio , J. Dreissig

Mixing transformations in quantum field theory are non-trivial, since they are intimately related to the unitary inequivalence between Fock spaces for fields with definite mass and fields with definite flavor. Considering the superposition…

High Energy Physics - Theory · Physics 2021-03-31 Massimo Blasone , Fabrizio Illuminati , Giuseppe Gaetano Luciano , Luciano Petruzziello

We show theoretically how quantum interference between linearly coupled modes with weak local nonlinearity allows the generation of continuous variable entanglement. By solving the quantum master equation for the density matrix, we show how…

Mesoscale and Nanoscale Physics · Physics 2012-05-09 T. C. H. Liew , V. Savona

Here we investigate the connection between topological order and the geometric entanglement, as measured by the logarithm of the overlap between a given state and its closest product state of blocks. We do this for a variety of…

Strongly Correlated Electrons · Physics 2014-10-28 Roman Orus , Tzu-Chieh Wei , Oliver Buerschaper , Maarten Van den Nest

We study entanglement in two coupled quartic oscillators. It is shown that the entanglement, as measured by the von Neumann entropy, increases with the classical chaos parameter for generic chaotic eigenstates. We consider certain isolated…

Chaotic Dynamics · Physics 2008-02-22 M. S. Santhanam , V. B. Sheorey , Arul Lakshminarayan

We prove an entanglement area law for a class of 1D quantum systems involving infinite-dimensional local Hilbert spaces. This class of quantum systems include bosonic models such as the Hubbard-Holstein model, and both U(1) and SU(2)…

Quantum Physics · Physics 2022-11-04 Nilin Abrahamsen , Yu Tong , Ning Bao , Yuan Su , Nathan Wiebe

Multipartite entanglement and nonclassicality of four-mode Gaussian states generated in two simultaneous nonlinear processes involving parametric down-conversion and frequency up-conversion are analyzed assuming the vacuum as the initial…

Quantum Physics · Physics 2016-09-26 Ievgen I. Arkhipov , Jan Peřina , Ondřej Haderka , Alessia Allevi , Maria Bondani

The ground state entanglement of the system, both in discrete-time and continuous-time cases, is quantified through the linear entropy. The result shows that the entanglement increases as the interaction between the particles increases in…

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

We study a set of $L$ spatial bosonic modes localized on a graph $\Gamma.$ The particles are allowed to tunnel from vertex to vertex by hopping along the edges of $\Gamma.$ We analyze how, in the exact many-body eigenstates of the system…

Quantum Physics · Physics 2009-11-07 Paolo Zanardi

In the first part, we investigate the effect of long range particle exchange in ideal bosonic chains. We establish that by using the Heisenberg formalism along with matrix product state representation we can study the evolution as well as…

Quantum Physics · Physics 2010-02-23 Jose Reslen

We present two methods of calculating the spatial entanglement of an interacting electron system within the framework of density-functional theory. These methods are tested on the model system of Hooke's atom for which the spatial…

Quantum Physics · Physics 2015-03-13 J. P. Coe , A. Sudbery , I. D'Amico

We explore the entanglement of the vacuum of a relativistic field by letting a pair of causally disconnected probes interact with the field. We find that, even when the probes are initially non-entangled, they can wind up to a final…

Quantum Physics · Physics 2022-10-12 Benni Reznik

We numerically determine subleading scaling terms in the ground-state entanglement entropy of several two-dimensional (2D) gapless systems, including a Heisenberg model with N\'eel order, a free Dirac fermion in the {\pi}-flux phase, and…

Strongly Correlated Electrons · Physics 2012-04-25 Hyejin Ju , Ann B. Kallin , Paul Fendley , Matthew B. Hastings , Roger G. Melko

Using the Moshinsky model, we analyze the spatial correlation and the entanglement of the ground state across different bipartitions of a system composed by $N$ pairs of harmonically confined fermions of two different interacting species.…

Quantum Physics · Physics 2025-05-27 M. D. Jiménez , W. J. Díaz , E. Cuestas , A. Valdés-Hernández , A. P. Majtey