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We present and benchmark a type of variational quantum eigensolver (VQE), which we denote $\sigma$-VQE. It is designed to target mid-spectrum eigenstates and prepare quantum many-body scar states. The approach leverages the fact that noisy…

Quantum Physics · Physics 2026-05-18 Eoin Carolan , Nathan Keenan , Gabriele Cenedese , Giuliano Benenti

Certain wave functions of non-interacting quantum chaotic systems can exhibit "scars" in the fabric of their real-space density profile. Quantum scarred wave functions concentrate in the vicinity of unstable periodic classical trajectories.…

Quantum many-body scars (QMBS) consist of a few low-entropy eigenstates in an otherwise chaotic many-body spectrum, and can weakly break ergodicity resulting in robust oscillatory dynamics. The notion of QMBS follows the original…

Quantum Gases · Physics 2024-01-17 Bertrand Evrard , Andrea Pizzi , Simeon I. Mistakidis , Ceren B. Dag

Quantum many-body scars are rare eigenstates hidden within the chaotic spectra of many-body systems, representing a weak violation of the eigenstate thermalization hypothesis (ETH). Identifying these scars, as well as other non-thermal…

Quantum Physics · Physics 2025-03-12 Jiajin Feng , Bingzhi Zhang , Zhi-Cheng Yang , Quntao Zhuang

Highly excited eigenstates of quantum many-body systems are typically featureless thermal states. Some systems, however, possess a small number of special, low-entanglement eigenstates known as quantum scars. We introduce a quantum-inspired…

Quantum Physics · Physics 2022-08-02 Tomasz Szołdra , Piotr Sierant , Maciej Lewenstein , Jakub Zakrzewski

The notion of many-body quantum scars is associated with special eigenstates, usually concentrated in certain parts of Hilbert space, that give rise to robust persistent oscillations in a regime that globally exhibits thermalization. Here…

Quantum Gases · Physics 2023-07-05 Quirin Hummel , Klaus Richter , Peter Schlagheck

Quantum many-body scarring is a paradigm of weak ergodicity breaking arising due to the presence of special nonthermal many-body eigenstates that possess low entanglement entropy, are equally spaced in energy, and concentrate in certain…

Quantum Gases · Physics 2023-05-17 Jad C. Halimeh , Luca Barbiero , Philipp Hauke , Fabian Grusdt , Annabelle Bohrdt

Quantum many-body scars are atypical, highly nonthermal eigenstates embedded in a sea of thermal eigenstates that have been observed in, for example, kinetically constrained quantum many-body models. These special eigenstates are…

Strongly Correlated Electrons · Physics 2024-08-16 Wouter Buijsman , Yevgeny Bar Lev

Weakly interacting quasiparticles play a central role in the low-energy description of many phases of quantum matter. At higher energies, however, quasiparticles cease to be well-defined in generic many-body systems due to a proliferation…

Strongly Correlated Electrons · Physics 2024-01-12 Anushya Chandran , Thomas Iadecola , Vedika Khemani , Roderich Moessner

Quantum many-body scars (QMBS) constitute a new quantum dynamical regime in which rare "scarred" eigenstates mediate weak ergodicity breaking. One open question is to understand the most general setting in which these states arise. In this…

Strongly Correlated Electrons · Physics 2022-02-09 Christopher M. Langlett , Zhi-Cheng Yang , Julia Wildeboer , Alexey V. Gorshkov , Thomas Iadecola , Shenglong Xu

Quantum many-body scars are atypical nonthermal states embedded in the chaotic spectrum that evade conventional ergodicity. We show that asymptotically AdS mini-boson stars provide a holographic realization of scar-like states. Their…

High Energy Physics - Theory · Physics 2026-05-05 Yan Liu , Ya-Wen Sun , Yuan-Tai Wang

Mechanisms that give rise to coherent quantum dynamics, such as quantum many-body scars, have recently attracted much interest as a way of controlling quantum chaos. However, identifying the presence of quantum scars in general many-body…

Quantum Physics · Physics 2025-11-18 Jie Ren , Andrew Hallam , Lei Ying , Zlatko Papić

Quantum many-body scars represent a form of weak ergodicity breaking that highlights the unusual physics of thermalization in quantum systems. Understanding scar formation promises insight into the connection between classical statistical…

Quantum Gases · Physics 2025-03-10 William N Faugno , Hosho Katsura , Tomoki Ozawa

Variational quantum algorithms aim at harnessing the power of noisy intermediate-scale quantum computers, by using a classical optimizer to train a parameterized quantum circuit to solve tractable quantum problems. The variational quantum…

Quantum many-body scars are non-thermal excited eigenstates of non-integrable Hamiltonians, which could support coherent revival dynamics from special initial states when scars form an equally spaced tower in the energy spectrum. For open…

Quantum Physics · Physics 2024-04-16 He-Ran Wang , Dong Yuan , Shun-Yao Zhang , Zhong Wang , Dong-Ling Deng , L. -M. Duan

Quantum many-body scars (QMBS) are exceptional energy eigenstates of quantum many-body systems associated with violations of thermalization for special non-equilibrium initial states. Their various systematic constructions require…

Strongly Correlated Electrons · Physics 2025-02-20 Alessio Lerose , Tommaso Parolini , Rosario Fazio , Dmitry A. Abanin , Silvia Pappalardi

Isolated quantum many-body systems are often well-described by the eigenstate thermalization hypothesis. There are, however, mechanisms that cause different behavior: many-body localization and quantum many-body scars. Here, we show how one…

Disordered Systems and Neural Networks · Physics 2023-05-24 Michael Iversen , Anne E. B. Nielsen

Quantum many-body scars are rare exceptions to thermalization: they sustain non-thermal stationary states without the protection of any local conservation law, and are generally expected to be fragile. Here we construct an analytically…

Quantum Physics · Physics 2026-04-21 Luca Capizzi , Benoît Ferté

The recent observations of persistent revivals in the Rydberg atom chain have revealed a weak ergodicity breaking mechanism known as quantum many-body scars, which is typically a collection of states with low entanglement embedded in…

Disordered Systems and Neural Networks · Physics 2023-12-14 Qianqian Chen , Zheng Zhu

Quantum many-body scars have received much recent attention for being both intriguing non-ergodic states in otherwise quantum chaotic systems and promising candidates to encode quantum information efficiently. So far, these studies have…

Quantum Physics · Physics 2026-02-16 Antonio M. García-García , Zhongling Lu , Lucas Sá , Jacobus J. M. Verbaarschot
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