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Entanglement is a key quantum phenomena and understanding transitions between phases of matter with different entanglement properties are an interesting probe of quantum mechanics. We numerically study a model of a 2D tensor network…

Statistical Mechanics · Physics 2021-08-06 Ryan Levy , Bryan K. Clark

We introduce a novel class of phase transitions separating quantum states with different entanglement features. An example of such an "entanglement phase transition" is provided by the many-body localization transition in disordered quantum…

Statistical Mechanics · Physics 2019-10-11 Romain Vasseur , Andrew C. Potter , Yi-Zhuang You , Andreas W. W. Ludwig

We identify a phase transition between two kinds of volume-law entangled phases in non-local but few-body unitary dynamics with local projective measurements. In one phase, a finite fraction of the system belongs to a fully-entangled state,…

Quantum Physics · Physics 2020-05-08 Sagar Vijay

Quantum phase transitions occur at zero temperature and involve the appearance of long-range correlations. These correlations are not due to thermal fluctuations but to the intricate structure of a strongly entangled ground state of the…

Quantum Physics · Physics 2008-11-26 G. Vidal , J. I. Latorre , E. Rico , A. Kitaev

We propose a simple mean-field ansatz to study phase transitions from a topological phase to a trivial phase. We probe the efficiency of this approach by considering the string-net model in the presence of a string tension for any anyon…

Strongly Correlated Electrons · Physics 2016-04-01 S. Dusuel , J. Vidal

We explore a class of random tensor network models with "stabilizer" local tensors which we name Random Stabilizer Tensor Networks (RSTNs). For RSTNs defined on a two-dimensional square lattice, we perform extensive numerical studies of…

Statistical Mechanics · Physics 2022-03-29 Zhi-Cheng Yang , Yaodong Li , Matthew P. A. Fisher , Xiao Chen

We study the level-spacing statistics in the entanglement spectrum of output states of random universal quantum circuits where qubits are subject to a finite probability of projection to the computational basis at each time step. We…

We show that the variation of the ground state entanglement in linear, higher spatial derivatives field theories at zero-temperature have signatures of phase transition. Around the critical point, when the dispersion relation changes from…

High Energy Physics - Theory · Physics 2015-06-12 Suman Ghosh , S. Shankaranarayanan

A quantum many-body system whose dynamics includes local measurements at a nonzero rate can be in distinct dynamical phases, with differing entanglement properties. We introduce theoretical approaches to measurement-induced phase…

Statistical Mechanics · Physics 2021-04-07 Adam Nahum , Sthitadhi Roy , Brian Skinner , Jonathan Ruhman

We put forward a phenomenological theory for entanglement dynamics in monitored quantum many-body systems with well-defined quasiparticles. Within this theory entanglement is carried by ballistically propagating non-Hermitian quasiparticles…

Statistical Mechanics · Physics 2023-04-21 Xhek Turkeshi , Marcello Dalmonte , Rosario Fazio , Marco Schirò

We formulate dynamical phase transitions in subsystems embedded in larger quantum systems. Introducing the entanglement echo as an overlap of the initial and instantaneous entanglement ground states, we show its analytic structure after a…

Quantum Physics · Physics 2021-06-21 Kim Pöyhönen , Teemu Ojanen

We study a mean field model of a complex network, focusing on edge and triangle densities. Our first result is the derivation of a variational characterization of the entropy density, compatible with the infinite node limit. We then…

Mathematical Physics · Physics 2015-06-12 Charles Radin , Lorenzo Sadun

Discrete quantum trajectories of systems under random unitary gates and projective measurements have been shown to feature transitions in the entanglement scaling that are not encoded in the density matrix. In this paper, we study the…

Disordered Systems and Neural Networks · Physics 2020-09-24 Nicolai Lang , Hans Peter Büchler

Traditional mean-field theory is a simple generic approach for understanding various phases. But that approach only applies to symmetry breaking states with short-range entanglement. In this paper, we describe a generic approach for…

Strongly Correlated Electrons · Physics 2009-11-13 Zheng-Cheng Gu , Michael Levin , Xiao-Gang Wen

The search for novel entangled phases of matter has lead to the recent discovery of a new class of ``entanglement transitions'', exemplified by random tensor networks and monitored quantum circuits. Most known examples can be understood as…

Disordered Systems and Neural Networks · Physics 2021-10-04 Raimel Medina , Romain Vasseur , Maksym Serbyn

We study the ground state quantum phase transition by means of entanglement in the one-dimensional asymmetric Hubbard model with open boundary condition. The local entanglement between the middle two sites and the rest of the system, and…

Strongly Correlated Electrons · Physics 2009-11-13 W. L. Chan , S. J. Gu

The intricate interplay between unitary evolution and projective measurements could induce entanglement phase transitions in the nonequilibrium dynamics of quantum many-particle systems. In this work, we uncover loss-induced entanglement…

Quantum Physics · Physics 2024-03-21 Longwen Zhou

Random networks with complex topology are common in Nature, describing systems as diverse as the world wide web or social and business networks. Recently, it has been demonstrated that most large networks for which topological information…

Disordered Systems and Neural Networks · Physics 2016-08-31 Albert-Laszlo Barabasi , Reka Albert , Hawoong Jeong

We investigate entanglement phase transitions from volume-law to area-law entanglement in a quantum many-body state under continuous position measurement on the basis of the quantum trajectory approach. We find the signatures of the…

Statistical Mechanics · Physics 2021-02-15 Yohei Fuji , Yuto Ashida

In this paper, we study the entanglement between two-neighboring sites and the rest of the system in a simple quantum phase transition of 1D transverse field Ising model. We find that the entanglement shows interesting scaling and singular…

Quantum Physics · Physics 2009-11-13 Shi-Quan Su , Jun-Liang Song , Shi-Jian Gu
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