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We introduce quantum circuits in two and three spatial dimensions which are classically simulable, despite producing a high degree of operator entanglement. We provide a partial characterization of these "automaton" quantum circuits, and…

Statistical Mechanics · Physics 2019-12-10 Jason Iaconis , Sagar Vijay , Rahul Nandkishore

Uncertainty relations and quantum entanglement are pivotal concepts in quantum theory. Beyond their fundamental significance in shaping our understanding of the quantum world, they also underpin crucial applications in quantum information…

Quantum Physics · Physics 2023-12-18 Yundu Zhao , Shan Huang , Shengjun Wu

Important properties of a quantum system are not directly measurable, but they can be disclosed by how fast the system changes under controlled perturbations. In particular, asymmetry and entanglement can be verified by reconstructing the…

We review studies of entanglement entropy in systems with quenched randomness, concentrating on universal behavior at strongly random quantum critical points. The disorder-averaged entanglement entropy provides insight into the quantum…

Disordered Systems and Neural Networks · Physics 2015-05-13 Gil Refael , Joel E. Moore

The entanglement in a quantum system that possess an internal symmetry, characterized by the Sz-magnetization or U(1)-charge, is distributed among different sectors. The aim of this letter is to gain a deeper understanding of the…

Statistical Mechanics · Physics 2018-07-25 J. C. Xavier , F. C. Alcaraz , G. Sierra

We study the growth of genuine multipartite entanglement in random quantum circuit models, which include random unitary circuit models and the random Clifford circuit. We find that for the random Clifford circuit, the growth of multipartite…

Quantum Physics · Physics 2021-01-08 Anindita Bera , Sudipto Singha Roy

Recent work has shown that the entanglement of finite-temperature eigenstates in chaotic quantum many-body local Hamiltonians can be accurately described by an ensemble of random states with an internal $U(1)$ symmetry. We build upon this…

Quantum Physics · Physics 2025-09-18 Angelo Russotto , Filiberto Ares , Pasquale Calabrese

We study the relationship between entanglement and parametric resonance in a system of two coupled time-dependent oscillators. As a measure of bipartite entanglement, we calculate the linear entropy for the reduced density operator, from…

Quantum Physics · Physics 2011-08-19 V. M. Bastidas , J. H. Reina , C. Emary , T. Brandes

We study the scaling of the entanglement entropy in different classes of one-dimensional fermionic quasiperiodic systems with and without pairing, focusing on multifractal critical points/phases. We find that the entanglement entropy scales…

Strongly Correlated Electrons · Physics 2024-03-12 Miguel Gonçalves

The process by which open quantum systems thermalize with an environment is both of fundamental interest and relevant to noisy quantum devices. As a minimal model of this process, we consider a qudit chain evolving under local random…

Quantum Physics · Physics 2023-01-27 Zhi Li , Shengqi Sang , Timothy H. Hsieh

Scrambling unitary dynamics in a quantum system transmutes local quantum information into a non-local web of correlations which manifests itself in a complex spatio-temporal pattern of entanglement. In such a context, we show there can…

Quantum Physics · Physics 2025-06-02 Alan Sherry , Sthitadhi Roy

By means of free fermionic techniques we study the time evolution of the entanglement entropy, S(t), of a block of spins in the random transverse-field Ising chain after a sudden change of the parameters of the Hamiltonian. We consider…

Statistical Mechanics · Physics 2012-03-13 Ferenc Igloi , Zsolt Szatmari , Yu-Cheng Lin

The temporal evolution of the entanglement between two qubits evolving by random interactions is studied analytically and numerically. Two different types of randomness are investigated. Firstly we analyze an ensemble of systems with…

Quantum Physics · Physics 2016-01-20 Christoph Wick , Jaegon Um , Haye Hinrichsen

One of the outstanding problems in non-equilibrium physics is to precisely understand when and how physically relevant observables in many-body systems equilibrate under unitary time evolution. General equilibration results show that…

Quantum Physics · Physics 2020-02-18 Henrik Wilming , Marcel Goihl , Ingo Roth , Jens Eisert

We study the evolution of quantum correlations in two-particle discrete-time non-unitary quantum walks on a line with gain and loss. The two particles are initially prepared in a maximally entangled state and evolve independently. Using…

Quantum Physics · Physics 2025-05-07 Gene M. M. Itable , Francis N. C. Paraan

Non-equilibrium dynamics of many-body quantum systems under the effect of measurement protocols is attracting an increasing amount of attention. It has been recently revealed that measurements may induce an abrupt change in the scaling-law…

Statistical Mechanics · Physics 2022-03-23 Michele Coppola , Emanuele Tirrito , Dragi Karevski , Mario Collura

In the context of characterizing the structure of quantum entanglement in many-body systems, we introduce the entanglement contour, a tool to identify which real-space degrees of freedom contribute, and how much, to the entanglement of a…

Strongly Correlated Electrons · Physics 2016-11-25 Yangang Chen , Guifre Vidal

Entanglement asymmetry -- used here as a direct probe of symmetry restoration -- provides a sharp diagnostic of post-quench dynamics. We test this idea in the complex Sachdev--Ye--Kitaev model with a conserved U(1) charge. Using exact…

Strongly Correlated Electrons · Physics 2025-10-09 Sizheng Cao , Xian-Hui Ge

It is demonstrated here that local dynamics have the ability to strongly modify the entangling power of unitary quantum gates acting on a composite system. The scenario is common to numerous physical systems, in which the time evolution…

Quantum Physics · Physics 2017-04-19 Bhargavi Jonnadula , Prabha Mandayam , Karol Zyczkowski , Arul Lakshminarayan

The extension of many-body quantum dynamics to the non-unitary domain has led to a series of exciting developments, including new out-of-equilibrium entanglement phases and phase transitions. We show how a duality transformation between…

Quantum Physics · Physics 2022-04-26 Matteo Ippoliti , Tibor Rakovszky , Vedika Khemani