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Quantum many-body scars (QMBS) -- rare eigenstates that evade thermalization -- are typically characterized by their low entanglement entropies compared to surrounding thermal eigenstates. However, due to finite-size effects in systems…

Quantum Gases · Physics 2025-09-17 Zhiyuan Yao , Pengfei Zhang

Quantum many-body scars (QMBS) are exotic many-body states that exhibit anomalous non-thermal behavior in an otherwise ergodic system. In this work, we demonstrate a simple, scalable and intuitive construction of QMBS in a kinetically…

Quantum Physics · Physics 2025-07-23 Fan Yang , Matteo Magoni , Hannes Pichler

Quantum many-body scarred systems contain both thermal and non-thermal scar eigenstates in their spectra. When these systems are quenched from special initial states which share high overlap with scar eigenstates, the system undergoes…

Quantum Physics · Physics 2024-02-02 Harvey Cao , Dimitris G. Angelakis , Daniel Leykam

We construct a class of quantum many-body systems hosting an $\mathfrak{su}(3)$-invariant scar subspace, extending the conventional paradigm of quantum many-body scars beyond equally spaced spectra and single-directional tower structures.…

Statistical Mechanics · Physics 2026-04-22 Chihiro Matsui

Quantum scars are non-thermal eigenstates characterized by low entanglement entropy, initially detected in systems subject to nearest-neighbor Rydberg blockade, the so called PXP model. While most of these special eigenstates elude an…

Quantum scars are enhancements of quantum probability density along classical periodic orbits. We study the recently discovered phenomenon of strong, perturbation-induced quantum scarring in the two-dimensional harmonic oscillator exposed…

Quantum Physics · Physics 2017-10-03 J. Keski-Rahkonen , P. J. J. Luukko , L. Kaplan , E. J. Heller , E. Räsänen

Solving non-Hermitian quantum many-body systems on a quantum computer by minimizing the variational energy is challenging as the energy can be complex. Here, based on energy variance, we propose a variational method for solving the…

Quantum Physics · Physics 2024-02-21 Xu-Dan Xie , Zheng-Yuan Xue , Dan-Bo Zhang

We construct few-body, interacting, nonlocal Hamiltonians with a quantum scar state in an otherwise thermalizing many-body spectrum. In one dimension, the embedded state is a critical state, and in two dimensions, the embedded state is a…

Strongly Correlated Electrons · Physics 2020-12-04 N. S. Srivatsa , Julia Wildeboer , Alexander Seidel , Anne E. B. Nielsen

Quantum many-body scars (QMBSs) are a novel paradigm for the violation of the eigenstate thermalization hypothesis -- Hamiltonians of these systems exhibit mid-spectrum eigenstates that are equidistant in energy and which possess low…

Statistical Mechanics · Physics 2023-02-14 Pierre-Gabriel Rozon , Kartiek Agarwal

Quantum many-body scars are atypical energy eigenstates of chaotic quantum many-body systems that prevent certain special non-equilibrium initial conditions from thermalizing. We point out that quantum many-body scars exist for any…

Quantum Physics · Physics 2025-05-09 Dhiman Bhowmick , Vir B. Bulchandani , Wen Wei Ho

Recent experimental observation of weak ergodicity breaking in Rydberg atom quantum simulators has sparked interest in quantum many-body scars - eigenstates which evade thermalisation at finite energy densities due to novel mechanisms that…

We propose a qubit efficient scheme to study ground state properties of quantum many-body systems on near-term noisy intermediate scale quantum computers. One can obtain a tensor network representation of the ground state using a number of…

Quantum Physics · Physics 2019-10-02 Jin-Guo Liu , Yi-Hong Zhang , Yuan Wan , Lei Wang

Understanding the behavior of quantum many-body systems under decoherence is essential for developing robust quantum technologies. Here, we examine the fate of weak ergodicity breaking in systems hosting quantum many-body scars when subject…

Quantum Physics · Physics 2025-10-10 Jin-Lou Ma , Zexian Guo , Yu Gao , Zlatko Papić , Lei Ying

Scar eigenstates in a many-body system refers to a small subset of non-thermal finite energy density eigenstates embedded into an otherwise thermal spectrum. This novel non-thermal behaviour has been seen in recent experiments simulating a…

Quantum Physics · Physics 2024-01-12 Sourav Nandy , Bhaskar Mukherjee , Arpan Bhattacharyya , Aritra Banerjee

We derive general results relating revivals in the dynamics of quantum many-body systems to the entanglement properties of energy eigenstates. For a D-dimensional lattice system of N sites initialized in a low-entangled and short-range…

Quantum Physics · Physics 2020-05-11 Álvaro M. Alhambra , Anurag Anshu , Henrik Wilming

We propose an efficient method for simultaneously optimizing both the structure and parameter values of quantum circuits with only a small computational overhead. Shallow circuits that use structure optimization perform significantly better…

Quantum Physics · Physics 2021-02-03 Mateusz Ostaszewski , Edward Grant , Marcello Benedetti

The far-from-equilibrium dynamics of certain interacting quantum systems still defy precise understanding. One example is the so-called quantum many-body scars (QMBSs), where a set of energy eigenstates evade thermalization to give rise to…

Strongly Correlated Electrons · Physics 2025-08-20 Yuchen Meng , Songtai Lv , Yang Liu , Zefan Tan , Erhai Zhao , Haiyuan Zou

A generic closed quantum many-body system will inevitably tend to thermalization, whose local information encoded in the initial state eventually scrambles into the full space, known as quantum ergodicity. A paradigmatic exception in closed…

Disordered Systems and Neural Networks · Physics 2025-01-17 Xiang-Ping Jiang , Mingdi Xu , Xuanpu Yang , Hongsheng Hou , Yucheng Wang , Lei Pan

The recent discovery of persistent revivals in the Rydberg-atom quantum simulator has revealed a weakly ergodicity-breaking mechanism dubbed quantum many-body scars, which are a set of nonthermal states embedded in otherwise thermal…

Quantum Gases · Physics 2023-08-02 Qianqian Chen , Shuai A. Chen , Zheng Zhu

The discovery of Quantum Many-Body Scars (QMBS) both in Rydberg atom simulators and in the Affleck-Kennedy-Lieb-Tasaki (AKLT) spin-1 chain model, have shown that a weak violation of ergodicity can still lead to rich experimental and…

Strongly Correlated Electrons · Physics 2022-07-13 Sanjay Moudgalya , B. Andrei Bernevig , Nicolas Regnault