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We study quantum phase transitions by measuring the bond energy, the number density, and the half-chain entanglement entropy in the one-dimensional ionic Hubbard model. By performing the infinite density matrix renormalization group with…

强关联电子 · 物理学 2021-02-24 Myung-Hoon Chung

The entanglement entropy (von Neumann entropy) has been used to characterize the complexity of many-body ground states in strongly correlated systems. In this paper, we try to establish a connection between the lower bound of the von…

介观与纳米尺度物理 · 物理学 2009-11-11 S. Ryu , Y. Hatsugai

We study the one-dimensional hard-core Bose-Hubbard model with three-body interactions. In previous work[1], the two-thirds filling solid with both bond-wave order (BOW) and charge-density wave order (CDW) is found and it undergoes a second…

量子气体 · 物理学 2014-11-04 Jie Ren , Tao Wang , Xue-Fen Xu , Xue-Feng Zhang

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…

强关联电子 · 物理学 2008-11-26 Eduardo Fradkin , Joel E. Moore

The possibility to directly measure, in a cold-atom quantum simulator, the von Neumann entropy and mutual information between a site and its environment opens new perspectives on the characterization of the Mott-Hubbard metal-insulator…

强关联电子 · 物理学 2024-03-11 Gabriele Bellomia , Carlos Mejuto-Zaera , Massimo Capone , Adriano Amaricci

We analyze the ground-state entanglement entropy of the extended Bose-Hubbard model with infinite-range interactions. This model describes the low-energy dynamics of ultracold bosons tightly bound to an optical lattice and dispersively…

量子气体 · 物理学 2022-10-18 Shraddha Sharma , Simon B. Jaeger , Rebecca Kraus , Tommaso Roscilde , Giovanna Morigi

We study the entanglement entropy and entanglement spectrum of the paradigmatic Bose-Hubbard model, describing strongly correlated bosons on a lattice. The use of a controlled approximation - the slave-boson approach - allows us to study…

强关联电子 · 物理学 2016-05-18 Irénée Frérot , Tommaso Roscilde

We calculate the bipartite von Neumann and second R\'enyi entanglement entropies of the ground states of spin-1/2 dimerized Heisenberg antiferromagnets on a square lattice. Two distinct dimerization patterns are considered: columnar and…

强关联电子 · 物理学 2019-08-13 Leonardo S. G. Leite , R. L. Doretto

We study ground-state quantum entanglement in the one-dimensional Bose-Hubbard model in the presence of a harmonic trap. We focus on two transitions that occur upon increasing the characteristic particle density: the formation of a…

统计力学 · 物理学 2019-12-20 Yicheng Zhang , Lev Vidmar , Marcos Rigol

The entanglement entropy and quantum fidelity in a hard-core-boson model with nearest- and next-nearest-neighbor interactions are studied numerically. By using exact diagonalization and the density matrix renormalization group, the effects…

强关联电子 · 物理学 2012-12-18 Jie Ren , Xuefen Xu , Liping Gu , Jialiang Li

The concept of entanglement entropy appears in multiple contexts, from black hole physics to quantum information theory, where it measures the entanglement of quantum states. We investigate the entanglement entropy in a simple model, the…

介观与纳米尺度物理 · 物理学 2015-05-13 Karyn Le Hur

We present a method to measure the von Neumann entanglement entropy of ground states of quantum many-body systems which does not require access to the system wave function. The technique is based on a direct thermodynamic study of…

强关联电子 · 物理学 2020-02-19 T. Mendes-Santos , G. Giudici , R. Fazio , M. Dalmonte

We study a model for two-species hard-core bosons in one dimension. In this model, the same-species bosons have a hard-core condition at the same site, while different-species bosons are allowed to occupy the same site with a local…

强关联电子 · 物理学 2018-08-29 Ji-Woo Lee

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…

强关联电子 · 物理学 2016-09-08 Eduardo Fradkin

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…

强关联电子 · 物理学 2019-08-07 Ioannis Kleftogiannis , Ilias Amanatidis , Vladislav Popkov

The von Neumann entanglement entropy of exact valence-bond ground states is studied in two frustrated one-dimensional spin chains: the spin-1/2 Majumdar-Ghosh (MG) model and the spin-3/2 J1-J2-J3 chain in its fully dimerized (FD) and…

强关联电子 · 物理学 2026-05-05 Wuttichai Pankeaw , Teparksorn Pengpan , Pruet Kalasuwan

We employ the (dynamical) density matrix renormalization group technique to investigate the ground-state properties of the Bose-Hubbard model with nearest-neighbor transfer amplitudes t and local two-body and three-body repulsion of…

量子气体 · 物理学 2015-06-17 S. Ejima , F. Lange , H. Fehske , F. Gebhard , K. zu Münster

We study the entanglement in a system consisting of two non-interacting atoms located in separate cavities, both in their ground states. A single incoming photon has a non-zero probability of entering either of the two cavities. The…

量子物理 · 物理学 2017-04-25 Samina S. Masood , Allen Miller

We present a direct comparison of the recently-proposed valence bond entanglement entropy and the von Neumann entanglement entropy on spin 1/2 Heisenberg systems using quantum Monte Carlo and density-matrix renormalization group…

强关联电子 · 物理学 2009-09-14 Ann B. Kallin , Ivan Gonzalez , Matthew B. Hastings , Roger G. Melko

We study fidelity and fidelity susceptibility by addition of entanglement of entropy in the one-dimensional quantum compass model in a transverse magnetic field numerically. The whole four recognized gapped regions in the ground state phase…

强关联电子 · 物理学 2014-06-13 Mostafa Motamedifar , Somayyeh Nemati , Saeed Mahdavifar , Saber Farjami Shayesteh
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