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The phenomenon of localization is usually accompanied with the presence of quenched disorder. To what extent disorder is necessary for localization is a well-known open problem. In this paper, we prove the instability of localization in…

无序系统与神经网络 · 物理学 2020-01-06 Yichen Huang , Aram W. Harrow

Entanglement of a macroscopic system with a microscopic one is shown to begin by a topological property of histories in the Feynman formulation of quantum mechanics. This property can also be expressed algebraically on the Schr\"odinger…

量子物理 · 物理学 2012-12-04 Roland Omnès

Understanding the interplay between nonstabilizerness and entanglement is crucial for uncovering the fundamental origins of quantum complexity. Recent studies have proposed entanglement spectral quantities, such as antiflatness of the…

量子物理 · 物理学 2026-03-23 Michele Viscardi , Marcello Dalmonte , Alioscia Hamma , Emanuele Tirrito

We study manipulation of entanglement between two identical networks of quantum mechanical particles. Firstly, we reduce the problem of entanglement transfer to the problem of quantum state transfer. Then, we consider entanglement…

量子物理 · 物理学 2011-01-27 Andrea Casaccino , Stefano Mancini , Simone Severini

A fermionic disordered one dimensional wire in the presence of attractive interactions is known to have two distinct phases: A localized and a superconducting one depending on the strength of interaction and disorder. The localized region…

介观与纳米尺度物理 · 物理学 2015-11-18 Richard Berkovits

We study the entanglement of magnetic impurities in an environment of electrons through successive scattering while an external magnetic field is applied. We show that the dynamics of the problem can be approximately described by a reduced…

强关联电子 · 物理学 2014-12-10 Alexandros Metavitsiadis , Raoul Dillenschneider , Sebastian Eggert

We consider a system consisting of single electrons moving along a 1D wire in the presence of two magnetic impurities. Such system shows strong analogies with a Fabry - Perot interferometer in which the impurities play the role of two…

介观与纳米尺度物理 · 物理学 2007-05-23 Francesco Ciccarello , Massimo Palma , Michelangelo Zarcone , Yasser Omar , Vitor Rocha Vieira

We study a spin chain with an anisotropic XXZ coupling in an external field. Such a chain models several proposed types of a quantum computer. The chain contains a defect with a different on-site energy. The interaction between excitations…

凝聚态物理 · 物理学 2009-11-10 M. I. Dykman , L. F. Santos

We prove the existence of gapped quantum Hamiltonians whose ground states exhibit an infinite entanglement length, as opposed to their finite correlation length. Using the concept of entanglement swapping, the localizable entanglement is…

量子物理 · 物理学 2007-05-23 F. Verstraete , M. A. Martin-Delgado , J. I. Cirac

When a quantum system is macroscopic and becomes entangled with a microscopic one, this entanglement is not immediately total, but gradual and local. A study of this locality is the starting point of the present work and shows unexpected…

量子物理 · 物理学 2015-06-17 Roland Omnes

We study disordered XXZ spin chains in the Ising phase exhibiting droplet localization, a single cluster localization property we previously proved for random XXZ spin chains. It holds in an energy interval $I$ near the bottom of the…

数学物理 · 物理学 2018-05-09 Alexander Elgart , Abel Klein , Günter Stolz

We study the unitary relaxation dynamics of disordered spin chains following a sudden quench of the Hamiltonian. We give analytical arguments, corroborated by specific numerical examples, to show that the existence of a stationary state…

无序系统与神经网络 · 物理学 2012-12-21 Simone Ziraldo , Alessandro Silva , Giuseppe E. Santoro

For a one-dimensional spin chain with random local interactions, we prove that many-body localization follows from a physically reasonable assumption that limits the amount of level attraction in the system. The construction uses a sequence…

数学物理 · 物理学 2016-07-08 John Z. Imbrie

We investigate entanglement detection when the local measurements only nearly correspond to those intended. This corresponds to a scenario in which measurement devices are not perfectly controlled, but nevertheless operate with bounded…

量子物理 · 物理学 2022-06-22 Simon Morelli , Hayata Yamasaki , Marcus Huber , Armin Tavakoli

We investigate the statistics of single-mode delay times of waves reflected from a disordered waveguide in the presence of wave localization. The distribution of delay times is qualitatively different from the distribution in the diffusive…

无序系统与神经网络 · 物理学 2007-05-23 H. Schomerus , K. J. H. van Bemmel , C. W. J. Beenakker

We derive the distribution of eigenvalues of the reduced density matrix of a block of length l in a one-dimensional system in the scaling regime. The resulting "entanglement spectrum" is described by a universal scaling function depending…

强关联电子 · 物理学 2009-11-13 Pasquale Calabrese , Alexandre Lefevre

The entanglement in a general mixed spin chain with arbitrary spin $S$ and 1/2 is investigated in the thermodynamical limit. The entanglement is witnessed by the magnetic susceptibility which decides a characteristic temperature for an…

量子物理 · 物理学 2009-11-13 Xiang Hao , Shiqun Zhu

The entanglement fidelity provides a measure of how well the entanglement between two subsystems is preserved in a quantum process. By using a simple model we show that in some cases this quantity in its original definition fails in the…

量子物理 · 物理学 2009-11-13 Yang Xiang , Shi-Jie Xiong

We show how defects in a spin chain described by the XXZ model may be used to generate entangled states, such as Bell and W states, and how to maintain them with high fidelity. In the presence of several excitations, we also discuss how the…

量子物理 · 物理学 2007-05-23 L. F. Santos

We study localization properties of a one-dimensional disordered system characterized by a random non-hermitean hamiltonian where both the randomness and the non-hermiticity arises in the local site-potential; its real part being ordered…

无序系统与神经网络 · 物理学 2007-05-23 Asok K. Sen