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We study scrambling in connection to multipartite entanglement dynamics in regular and chaotic long-range spin chains, characterized by a well defined semi-classical limit. For regular dynamics, scrambling and entanglement dynamics are…

We study the transitions between ergodic and many-body localized phases in spin systems, subject to quenched disorder, including the Heisenberg chain and the central spin model. In both cases systems with common spin lengths $1/2$ and $1$…

无序系统与神经网络 · 物理学 2021-05-19 John Schliemann , Joao Vitor I. Costa , Paul Wenk , J. Carlos Egues

We investigate the robustness of the many-body localized (MBL) phase to the quantum-avalanche instability by studying the dynamics of a localized spin chain coupled to a $T=\infty$ thermal bath through its leftmost site. By analyzing local…

Operator scrambling denotes the evolution of a simple operator into a complicated one (in the Heisenberg picture), which characterizes quantum chaos in many-body systems. More specifically, a simple operator evolves into a linear…

量子物理 · 物理学 2019-06-04 Xiao-Liang Qi , Emily J. Davis , Avikar Periwal , Monika Schleier-Smith

In quantum many-body dynamics, locally encoded information typically scrambles across the entire system, becoming inaccessible to local probes. The upper bound of accessible information of local probes can be characterized by the Holevo…

量子物理 · 物理学 2026-05-18 Yan-Ming Chen , Dan-Bo Zhang

We consider the random-field Heisenberg model, a paradigmatic model for many-body localization (MBL), and add a Markovian dephasing bath coupled to the Anderson orbitals of the model's non-interacting limit. We map this system to a…

无序系统与神经网络 · 物理学 2021-12-15 Kai Klocke , Christopher David White , Michael Buchhold

It is well established that the presence of single impurity can have a substantial impact on the transport properties of quantum many-body systems at low temperature. In this work, we investigate a close analog of this problem from the…

量子物理 · 物理学 2024-07-17 Qucheng Gao , Pengfei Zhang , Xiao Chen

Scrambling quantum systems have attracted attention as effective substrates for temporal information processing. Here we consider a quantum reservoir processing framework that captures a broad range of physical computing models with quantum…

Isolated quantum systems at strong disorder can display many-body localization (MBL), a remarkable phenomena characterized by an absence of conduction even at finite temperatures. As the ratio of interactions to disorder is increased, one…

无序系统与神经网络 · 物理学 2014-05-08 Tarun Grover

Determining phase diagrams and phase transitions semi-automatically using machine learning has received a lot of attention recently, with results in good agreement with more conventional approaches in most cases. When it comes to more…

无序系统与神经网络 · 物理学 2019-12-04 Hugo Théveniaut , Fabien Alet

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…

统计力学 · 物理学 2023-04-21 Xhek Turkeshi , Marcello Dalmonte , Rosario Fazio , Marco Schirò

We put forward a Monte Carlo algorithm that samples the Euclidean time operator growth dynamics at infinite temperature. Crucially, our approach is free from the numerical sign problem for a broad family of quantum many-body spin systems,…

强关联电子 · 物理学 2024-11-26 Ayush De , Umberto Borla , Xiangyu Cao , Snir Gazit

We utilize the concept of a measurement-induced entanglement transition to analyze the interplay and competition of processes that generate and destroy entanglement in a one-dimensional quantum spin chain evolving under a locally noisy and…

量子物理 · 物理学 2022-07-07 T. Boorman , M. Szyniszewski , H. Schomerus , A. Romito

We have recently shown that the logarithmic growth of the entanglement entropy following a quantum quench in a many-body localized (MBL) phase is accompanied by a slow growth of the number entropy, $S_N\sim\ln\ln t$. Here we provide an…

无序系统与神经网络 · 物理学 2021-01-22 Maximilian Kiefer-Emmanouilidis , Razmik Unanyan , Michael Fleischhauer , Jesko Sirker

We introduce a diagnostic for quantum thermalization based on mixed-state entanglement. Specifically, given a pure state on a tripartite system $ABC$, we study the scaling of entanglement negativity between $A$ and $B$. For representative…

统计力学 · 物理学 2020-12-11 Tsung-Cheng Lu , Tarun Grover

This work develops tools to understand how quantum information spreads, scrambles, and is reshaped by measurements in many-body systems. First, I study scrambling and pseudorandomness in the Brownian Sachdev-Ye-Kitaev (SYK) model,…

量子物理 · 物理学 2025-12-12 Anastasiia Tiutiakina

Many-body localized (MBL) systems lie outside the framework of statistical mechanics, as they fail to equilibrate under their own quantum dynamics. Even basic features of MBL systems such as their stability to thermal inclusions and the…

无序系统与神经网络 · 物理学 2018-02-27 Pedro Ponte , C. R. Laumann , David A. Huse , A. Chandran

Quantum walks are promising for information processing tasks because on regular graphs they spread quadratically faster than random walks. Static disorder, however, can turn the tables: unlike random walks, quantum walks can suffer Anderson…

介观与纳米尺度物理 · 物理学 2015-11-18 Tibor Rakovszky , Janos K. Asboth

Operator growth in spatially local quantum many-body systems defines a scrambling velocity. We prove that this scrambling velocity bounds the state dependence of the out-of-time-ordered correlator in local lattice models. We verify this…

高能物理 - 理论 · 物理学 2019-10-09 Xizhi Han , Sean A. Hartnoll

Non-Hermitian quantum many-body systems are attracting widespread interest for their exotic properties, including unconventional quantum criticality and topology. Here we study how quantum information and correlations spread under a quantum…

统计力学 · 物理学 2023-01-18 Xhek Turkeshi , Marco Schiró