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Related papers: Entanglement in fermion systems

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An elementary formula for the von Neumann and Renyi entropies describing quantum correlations in two-fermionic systems having four single particle states is presented. An interesting geometric structure of fermionic entanglement is…

Quantum Physics · Physics 2007-05-23 Péter Lévay , Szilvia Nagy , János Pipek

The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local…

Strongly Correlated Electrons · Physics 2008-11-26 Eduardo Fradkin , Joel E. Moore

Entanglement, and quantum correlation, are precious resources for quantum technologies implementation based on quantum information science, such as, for instance, quantum communication, quantum computing, and quantum interferometry.…

Quantum Physics · Physics 2023-05-22 Arthur Vesperini , Ghofrane Bel-Hadj-Aissa , Roberto Franzosi

The entanglement entropy of a pure quantum state of a bipartite system is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local Hamiltonians in one…

Strongly Correlated Electrons · Physics 2016-09-08 Eduardo Fradkin

Entanglement is defined between subsystems of a quantum system, and at fixed time two regions of space can be viewed as two subsystems of a relativistic quantum field. The entropy of entanglement between such subsystems is ill-defined…

Quantum Physics · Physics 2014-10-01 Issam Ibnouhsein , Fabio Costa , Alexei Grinbaum

Entanglement entropy is a useful probe of compressible quantum matter because it can detect the existence of Fermi surfaces, both of microscopic fermionic degrees of freedom and of "hidden" gauge charged fermions. Much recent attention has…

High Energy Physics - Theory · Physics 2014-07-16 Brian Swingle , Liza Huijse , Subir Sachdev

We analyze the concept of entanglement for multipartite system with bosonic and fermionic constituents and its generalization to systems with arbitrary parastatistics. We use the representation theory of symmetry groups to formulate a…

Mathematical Physics · Physics 2011-11-08 Janusz Grabowski , Marek Kus , Giuseppe Marmo

A system of fermions forming a Fermi surface exhibits a large degree of quantum entanglement, even in the absence of interactions. In particular, the usual case of a codimension one Fermi surface leads to a logarithmic violation of the area…

Strongly Correlated Electrons · Physics 2017-06-14 Michael Pretko

The problem of the choice of tensor product decomposition in a system of two fermions with the help of Bogoliubov transformations of creation and annihilation operators is discussed. The set of physical states of the composite system is…

We present a new approach to the analysis of entanglement in smooth bipartite continuous-variable states. One or both parties perform projective filterings via preliminary measurements to determine whether the system is located in some…

Quantum Physics · Physics 2009-11-13 H. -C. Lin , A. J. Fisher

In this paper the entanglement of multi-qubit fermionic pseudo Hermitian coherent states (FPHCS) described by anticommutative Grassmann numbers is studied. The pseudo-Hermitian versions of the well known maximally entangled pure states such…

Quantum Physics · Physics 2012-12-27 G. Najarbashi , M. A. Fasihi , M. Nakahara , F. Mirmasoudi , S. Mirzaei

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 introduce a systematic framework to calculate the bipartite entanglement entropy of a compact spatial subsystem in a one-dimensional quantum gas which can be mapped into a noninteracting fermion system. We show that when working with a…

Statistical Mechanics · Physics 2015-05-28 Pasquale Calabrese , Mihail Mintchev , Ettore Vicari

We study the scaling of ground state entanglement entropy of various free fermionic models on one dimensional lattices, where the hopping and pairing terms decay as a power law. We seek to understand the scaling of entanglement entropy in…

Strongly Correlated Electrons · Physics 2024-05-27 Debarghya Chakraborty , Nikolaos Angelinos

We study the scaling of the entanglement entropy in different classes of one-dimensional fermionic quasiperiodic systems with and without pairing, focusing on multifractal critical points/phases. We find that the entanglement entropy scales…

Strongly Correlated Electrons · Physics 2024-03-12 Miguel Gonçalves

Entanglement sharing among sites of one-particle states is considered using the measure of concurrence. These are the simplest in an hierarchy of number-specific states of many qubits and corresponds to ``one-magnon'' states of spins. We…

Quantum Physics · Physics 2009-11-07 Arul Lakshminarayan , V. Subrahmanyam

Non-Hermitian quantum many-body systems feature steady-state entanglement transitions driven by the competition between unitary dynamics and dissipation. In this work, we reveal the fundamental role of conservation laws in shaping this…

Statistical Mechanics · Physics 2025-10-14 Rafael D. Soares , Youenn Le Gal , Chun Y. Leung , Dganit Meidan , Alessandro Romito , Marco Schirò

We study the entanglement properties of non-Hermitian free fermionic models with translation symmetry using the correlation matrix technique. Our results show that the entanglement entropy has a logarithmic correction to the area law in…

Mesoscale and Nanoscale Physics · Physics 2021-09-22 Yi-Bin Guo , Yi-Cong Yu , Rui-Zhen Huang , Li-Ping Yang , Run-Ze Chi , Hai-Jun Liao , Tao Xiang

Entanglement is one of the most fascinating concepts of modern physics. In striking contrast to its abstract, mathematical foundation, its practical side is, however, remarkably underdeveloped. Even for systems of just two orbitals or sites…

Quantum Physics · Physics 2022-07-08 Lexin Ding , Zoltan Zimboras , Christian Schilling

As two of the most important entanglement measures--the entanglement of formation and the entanglement of distillation--have so far been limited to bipartite settings, the study of other entanglement measures for multipartite systems…

Quantum Physics · Physics 2007-05-23 Tzu-Chieh Wei , Marie Ericsson , Paul M. Goldbart , William J. Munro
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