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We examine the entanglement entropy of the even half of a translationally invariant finite chain or lattice in its ground state. This entropy measures the entanglement between the even and odd halves (each forming a "comb" of $n/2$ sites)…

量子物理 · 物理学 2011-04-26 Raul Rossignoli , Norma Canosa , Juan Mauricio Matera

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…

介观与纳米尺度物理 · 物理学 2016-03-02 Yao-Sheng Li , Wen-Long You , Xue-Feng Wang

We review the properties of reduced density matrices for free fermionic or bosonic many-particle systems in their ground state. Their basic feature is that they have a thermal form and thus lead to a quasi-thermodynamic problem with a…

统计力学 · 物理学 2015-05-13 Ingo Peschel , Viktor Eisler

We study an atomic Fermi gas interacting through repulsive contact forces in a one dimensional harmonic trap. Bethe-Ansatz solutions lead to an inhomogeneous Tomonaga-Luttinger model for the low energy excitations. The equations of motion…

强关联电子 · 物理学 2007-05-23 Lars Kecke , Hermann Grabert , Wolfgang Häusler

We investigate the quantum dynamics of two identical bosons in a one-dimensional harmonic trap following an interaction quench from zero to infinite interaction strength and vice versa. For both quench scenarios, closed analytical…

量子物理 · 物理学 2024-02-23 L. M. A. Kehrberger , V. J. Bolsinger , P. Schmelcher

Quantum mechanical entanglement is a resource for quantum computation, quantum teleportation, and quantum cryptography. The ability to quantify this resource correctly has thus become of great interest to those working in the field of…

量子物理 · 物理学 2009-11-07 J. R. Gittings , A. J. Fisher

The von Neumann entropy of a $k$-body reduced density matrix $\gamma_k$ quantifies the entanglement between $k$ quantum particles and the remaining ones. In this short paper, we rigorously prove general properties of this entanglement…

量子物理 · 物理学 2024-12-17 Marius Lemm

We calculate the entanglement entropy of strongly correlated low-dimensional fermions in metallic, superfluid and antiferromagnetic insulating phases. The entanglement entropy reflects the degrees of freedom available in each phase for…

强关联电子 · 物理学 2009-11-11 V. V. França , K. Capelle

It was suggested that two entangled fermions can behave like a single boson and that the bosonic quality is proportional to the degree of entanglement between the two particles. The relation between bosonic quality and entanglement is quite…

量子物理 · 物理学 2017-09-20 Zakarya Lasmar , Dagomir Kaszlikowski , Pawel Kurzynski

Entanglement is one of the most intriguing features of quantum mechanics. It describes non-local correlations between quantum objects, and is at the heart of quantum information sciences. Entanglement is rapidly gaining prominence in…

Entanglement, a fundamental phenomenon of quantum theory, has recently been observed in processes in high-energy physics. This opens new avenues for probing quantum effects in relativistic regimes, but also poses conceptual and technical…

We conduct a theoretical study of SU(N) fermions confined by a one-dimensional harmonic potential. Firstly, we introduce a new numerical approach for solving the trapped interacting few-body problem, by which one may obtain accurate energy…

量子气体 · 物理学 2018-05-02 E. K. Laird , Z. -Y. Shi , M. M. Parish , J. Levinsen

We study the robustness of quantum nondemolition (QND) measurement-induced entanglement between Bose-Einstein Condensates (BECs). We consider an experimental scheme where two BECs are placed in the paths of a Mach-Zehnder interferometer,…

We investigate the symmetry resolution of entanglement in the presence of long-range couplings. To this end, we study the symmetry-resolved entanglement entropy in the ground state of a fermionic chain that has dimerised long-range hoppings…

统计力学 · 物理学 2022-06-22 Filiberto Ares , Sara Murciano , Pasquale Calabrese

In this work, combining the Bethe ansatz approach with the variational principle, we calculate the ground state energy of the relative motion of a system of two fermions with spin up and down interacting via a delta-function potential in a…

量子气体 · 物理学 2012-11-06 D. Rubeni , A. Foerster , I. Roditi

Pairing gaps for fermionic atoms in harmonic oscillator traps are calculated for a wide range of interaction strengths and particle number, and compared to pairing in nuclei. Especially systems, where the pairing gap exceeds the level…

原子物理 · 物理学 2009-11-10 H. Heiselberg

In this paper we study the effect of non-trivial spatial topology on quantum entanglement by examining the degenerate ground states of a topologically ordered system on torus. Using the string-net (fixed-point) wave-function, we propose a…

强关联电子 · 物理学 2016-08-17 Zhu-Xi Luo , Yu-Ting Hu , Yong-Shi Wu

Recent theoretical and experiments have explored the use of entangled photons as a spectroscopic probe of material systems. We develop here a theoretical description for entropy production in the scattering of an entangled biphoton state…

量子物理 · 物理学 2019-05-22 Hao Li , Andrei Piryatinski , Ajay Ram Srimath Kandada , Carlos Silva , Eric R. Bittner

We provide a detailed study of the properties of a few interacting spin $1/2$ fermions trapped in a one-dimensional harmonic oscillator potential. The interaction is assumed to be well represented by a contact delta potential. Numerical…

量子气体 · 物理学 2025-04-23 Abel Rojo-Francàs , Artur Polls , Bruno Juliá-Díaz

Spin coherent states are the matter equivalent of optical coherent states, where a large number of two component particles form a macroscopic state displaying quantum coherence. Here we give a detailed study of entanglement generated…

量子物理 · 物理学 2013-08-15 Tim Byrnes
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