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Semiclassical methods form a bridge between classical systems and their quantum counterparts. An interesting phenomenon discovered in this connection is the scar effect, whereby energy eigenstates display enhancement structures resembling…

Quantum Physics · Physics 2015-06-26 R. Vilela Mendes

Quantum many-body scars (QMBS) are nonthermal eigenstates embedded in otherwise thermal spectra. A broad class of exact QMBS is realized as fixed-momentum magnon states above a ferromagnetic reference state. Here we prove a structural…

Quantum Physics · Physics 2026-03-30 Keita Omiya

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

We demonstrate the presence of anomalous high-energy eigenstates, or many-body scars, in $U(1)$ quantum link and quantum dimer models on square and rectangular lattices. In particular, we consider the paradigmatic Rokhsar-Kivelson…

Strongly Correlated Electrons · Physics 2022-05-09 Saptarshi Biswas , Debasish Banerjee , Arnab Sen

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…

We present a general symmetry-based framework for obtaining many-body Hamiltonians with scarred eigenstates that do not obey the eigenstate thermalization hypothesis. Our models are derived from parent Hamiltonians with a non-Abelian (or…

Statistical Mechanics · Physics 2020-12-22 Nicholas O'Dea , Fiona Burnell , Anushya Chandran , Vedika Khemani

Non-equilibrium properties of strongly interacting gauge theories are often intractable with classical simulation methods. Due to recent developments of quantum simulations, studies of their properties in two spatial dimensions are becoming…

High Energy Physics - Lattice · Physics 2026-04-08 Thea Budde , Jiangjing Dong , Marina Krstić Marinković , Joao C. Pinto Barros

Accessing new regimes in quantum simulation requires the development of new techniques for quantum state preparation. We demonstrate the quantum state engineering of a strongly correlated many-body state of the two-component repulsive…

Quantum Gases · Physics 2018-06-20 Christie S. Chiu , Geoffrey Ji , Anton Mazurenko , Daniel Greif , Markus Greiner

We present a class of Hamiltonians $H$ for which a sector of the Hilbert space invariant under a Lie group $G$, which is not a symmetry of $H$, possesses the essential properties of many-body scar states. These include the absence of…

Strongly Correlated Electrons · Physics 2020-12-04 Kiryl Pakrouski , Preethi N. Pallegar , Fedor K. Popov , Igor R. Klebanov

A quantum eigenstate of a classically chaotic system is referred as scarred by an unstable periodic orbit if its probability density is concentrated in the vicinity of that orbit. Recently, a new class of scarring - variational scarring -…

Mesoscale and Nanoscale Physics · Physics 2025-07-17 J. Keski-Rahkonen , C. Zou , A. M. Graf , Q. Yao , T. Zhu , J. Velasco, , E. J. Heller

The capability to temporarily arrest the propagation of optical signals is one of the main challenges hampering the ever more widespread use of light in rapid long-distance transmission as well as all-optical on-chip signal processing or…

Generic quantum many-body systems are expected to thermalize, scrambling initial coherence while local observables relax to equilibrium values. Weak ergodicity breaking, often associated with quantum many-body scarring of homogeneous…

Quantum Physics · Physics 2026-05-25 Aron Kerschbaumer , Jean-Yves Desaules , Maksym Serbyn

We prove the existence of scarred eigenstates for star graphs with scattering matrices at the central vertex which are either a Fourier transform matrix, or a matrix that prohibits back-scattering. We prove the existence of scars that are…

Mathematical Physics · Physics 2018-09-26 Gregory Berkolaiko , Brian Winn

We introduce the concept of ergodicity and explore its deviation caused by quantum scars in an isolated quantum system, employing a pedagogical approach based on a toy model. Quantum scars, originally identified as traces of classically…

Statistical Mechanics · Physics 2025-04-02 Sudip Sinha , S. Sinha

Quantum many-body scar is a recently discovered phenomenon weakly violating eigenstate thermalization hypothesis, and it has been extensively studied across various models. However, experimental realizations are mainly based on constrained…

Quantum Physics · Physics 2023-07-26 Zexian Guo , Bobo Liu , Yu Gao , Ang Yang , Junlin Wang , Jinlou Ma , Lei Ying

The presence of flat bands is a source of localization in lattice systems. While flat bands are often unstable with respect to interactions between the particles, they can persist in certain cases. We consider a diamond ladder with…

Statistical Mechanics · Physics 2023-07-19 Mirko Daumann , Robin Steinigeweg , Thomas Dahm

Quantum many-body scars, long-lived excited states of correlated quantum chaotic systems that evade thermalization, are of great fundamental and technological interest. We create novel scar states in a bosonic 1D quantum gas of dysprosium…

Quantum Gases · Physics 2021-04-28 Wil Kao , Kuan-Yu Li , Kuan-Yu Lin , Sarang Gopalakrishnan , Benjamin L. Lev

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

Given that any subsystem of a closed out-of-equilibrium quantum system is an open quantum system, its dynamics (reduced from the full system's unitary evolution) can be either Markovian (memory-less) or non-Markovian, with the latter…

Quantum Physics · Physics 2026-05-01 Aditya Banerjee

Persistent revivals recently observed in Rydberg atom simulators have challenged our understanding of thermalization and attracted much interest to the concept of quantum many-body scars (QMBSs). QMBSs are non-thermal highly excited…

Quantum Physics · Physics 2025-05-06 Aron Kerschbaumer , Marko Ljubotina , Maksym Serbyn , Jean-Yves Desaules