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We numerically investigate the momentum-space entanglement entropy and entanglement spectrum of the random-dimer model and its generalizations, which circumvent Anderson localization, after a quench in the Hamiltonian parameters. The type…

Strongly Correlated Electrons · Physics 2019-12-18 Rex Lundgren , Fangli Liu , Pontus Laurell , Gregory A. Fiete

We recently showed [Phys. Rev. Lett. 121, 220602 (2018)] that the average bipartite entanglement entropy of all energy eigenstates of the quantum Ising chain exhibits a universal (for translationally invariant quadratic fermionic models)…

Statistical Mechanics · Physics 2019-02-14 Lucas Hackl , Lev Vidmar , Marcos Rigol , Eugenio Bianchi

When a group of compactly packed free fermions is allowed to spread over an empty one-dimensional lattice, the spreading particles can create entanglement between different parts of the lattice. We show, though breaking of translational…

Strongly Correlated Electrons · Physics 2021-02-05 Roopayan Ghosh , Arnab Das

A formidable perspective in understanding quantum criticality of a given many-body system is through its entanglement contents. Until now, most progress are only limited to the disorder-free case. Here, we develop an efficient scheme to…

Strongly Correlated Electrons · Physics 2022-12-01 Qicheng Tang , W. Zhu

Consider a generic quantum spin chain that can be mapped to free quadratic fermions via Jordan-Wigner (JW) transformation. In the presence of arbitrary boundary magnetic fields, this Hamiltonian is no longer a quadratic Hamiltonian after JW…

Strongly Correlated Electrons · Physics 2022-06-15 Arash Jafarizadeh , M. A. Rajabpour

We consider fermionic chains where the two halves are either metals with different bandwidths or a metal and an insulator. Both are coupled together by a special bond. We study the ground-state entanglement entropy between the two pieces,…

Statistical Mechanics · Physics 2015-07-09 Viktor Eisler , Ming-Chiang Chung , Ingo Peschel

We investigate how the introduction of different types of disorder affects the generation of entanglement between the internal (spin) and external (position) degrees of freedom in one-dimensional quantum random walks (QRW). Disorder is…

Quantum Physics · Physics 2014-04-11 Rafael Vieira , Edgard P. M. Amorim , Gustavo Rigolin

We study the entropy of entanglement of the ground state in a wide family of one-dimensional quantum spin chains whose interaction is of finite range and translation invariant. Such systems can be thought of as generalizations of the XY…

Mathematical Physics · Physics 2009-11-13 A. R. Its , F. Mezzadri , M. Y. Mo

The extended Hubbard Hamiltonian is a widely accepted model for uncovering the effects of strong correlations on the phase diagram of low-dimensional systems, and a variety of theoretical techniques have been applied to it. In this paper…

Strongly Correlated Electrons · Physics 2007-09-07 H. A. Craig , C. N. Varney , W. E. Pickett , R. T. Scalettar

When an extended system is coupled at its opposite boundaries to two reservoirs at different temperatures or chemical potentials, it cannot achieve a global thermal equilibrium and is instead driven to a set of current-carrying…

Statistical Mechanics · Physics 2019-04-30 Michael J. Gullans , David A. Huse

We study analytically the corrections to the leading terms in the Renyi entropy of a massive lattice theory, showing significant deviations from naive expectations. In particular, we show that finite size and finite mass effects give rise…

High Energy Physics - Theory · Physics 2012-05-31 Elisa Ercolessi , Stefano Evangelisti , Fabio Franchini , Francesco Ravanini

The behavior of coupled disordered one-dimensional systems, as modelled by identical fermionic Hubbard chains with the on-site potential disorder and coupling emerging through the inter-chain hopping $t'$, is analysed. The study is…

Disordered Systems and Neural Networks · Physics 2016-10-12 Peter Prelovšek

After quantum quenches in many-body systems, finite subsystems evolve non-trivially in time, eventually approaching a stationary state. In typical situations, the reduced density matrix of a given subsystem begins and ends this endeavour as…

Statistical Mechanics · Physics 2021-11-16 Isaac Reid , Bruno Bertini

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…

Mesoscale and Nanoscale Physics · Physics 2016-03-02 Yao-Sheng Li , Wen-Long You , Xue-Feng Wang

We consider entanglement through permeable junctions of $N$ $(1+1)$-dimensional free boson and free fermion conformal field theories. In the folded picture we constrain the form of the general boundary state. We calculate replicated…

High Energy Physics - Theory · Physics 2017-05-31 Michael Gutperle , John D. Miller

We discuss the behavior of the entanglement entropy of the ground state in various collective systems. Results for general quadratic two-mode boson models are given, yielding the relation between quantum phase transitions of the system…

Statistical Mechanics · Physics 2011-02-16 J. Vidal , S. Dusuel , T. Barthel

In this letter we show that the R\'enyi entanglement entropy of a region of large size $\ell$ in a one-dimensional critical model whose ground state breaks conformal invariance (such as in those described by non-unitary conformal field…

High Energy Physics - Theory · Physics 2015-06-19 Davide Bianchini , Olalla A. Castro-Alvaredo , Benjamin Doyon , Emanuele Levi , Francesco Ravanini

The entanglement entropy of the two-dimensional random transverse Ising model is studied with a numerical implementation of the strong disorder renormalization group. The asymptotic behavior of the entropy per surface area diverges at, and…

Disordered Systems and Neural Networks · Physics 2009-11-13 Yu-Cheng Lin , Ferenc Igloi , Heiko Rieger

We introduce a new spin chain which is a deformation of the Fredkin spin chain and has a phase transition between bounded and extensive entanglement entropy scaling. In this chain, spins have a local interaction of three nearest neighbors.…

Statistical Mechanics · Physics 2017-10-10 Olof Salberger , Takuma Udagawa , Zhao Zhang , Hosho Katsura , Israel Klich , Vladimir Korepin

The entanglement properties of random quantum states or dynamics are important to the study of a broad spectrum of disciplines of physics, ranging from quantum information to high energy and many-body physics. This work investigates the…

Quantum Physics · Physics 2018-07-10 Zi-Wen Liu , Seth Lloyd , Elton Yechao Zhu , Huangjun Zhu
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