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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

The complexity of highly excited eigenstates is a central theme in nonequilibrium many-body physics, underpining questions of thermalization, classical simulability, and quantum information structure. In this work, considering the…

Quantum Physics · Physics 2026-03-04 Sabhyata Gupta , Piotr Sierant , Luis Santos , Paolo Stornati

Motivated by recent experimental observations of coherent many-body revivals in a constrained Rydberg atom chain, we construct a weak quasi-local deformation of the Rydberg blockade Hamiltonian, which makes the revivals virtually perfect.…

Unstable periodic orbits (UPOs) play a key role in the theory of chaos, constituting the "skeleton" of classical chaotic systems and "scarring" the eigenstates of the corresponding quantum system. Recently, nonthermal many-body eigenstates…

Quantum Gases · Physics 2024-11-26 Bertrand Evrard , Andrea Pizzi , Simeon I. Mistakidis , Ceren B. Dag

We propose a class of non-integrable quantum spin chain models that exhibit quantum many-body scars even in the presence of disorder. With the use of the so-called Onsager symmetry, we construct such scarred models for arbitrary spin…

Quantum Physics · Physics 2022-09-27 Naoyuki Shibata , Nobuyuki Yoshioka , Hosho Katsura

Kinetic constraints in quantum many-body systems strongly restrict the accessible Hilbert space, giving rise to highly nontrivial dynamical behavior. In recent years, such systems have attracted growing interest as they provide insight into…

Quantum Physics · Physics 2026-02-27 Arkaprava Sil , Sudipto Singha Roy

Quantum many-body scarred systems host nonthermal excited eigenstates immersed in a sea of thermal ones. In cases where exact expressions for these special eigenstates are not known, it is computationally demanding to distinguish them from…

Strongly Correlated Electrons · Physics 2023-07-13 Shun-Yao Zhang , Dong Yuan , Thomas Iadecola , Shenglong Xu , Dong-Ling Deng

Quantum many-body scar (QMBS) and quantum integrability(QI) have been recognized as two distinct mechanisms for the breakdown of eigenstate thermalization hypothesis(ETH) in an isolated system. In this work, we reveal a smooth route to…

Quantum Gases · Physics 2022-12-21 Cheng Peng , Xiaoling Cui

Recent studies of interacting systems of quantum spins, ultracold atoms and correlated fermions have shed a new light on how isolated many-body systems can avoid rapid equilibration to their thermal state. It has been shown that many such…

Quantum Gases · Physics 2021-08-10 Zlatko Papić

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) have attracted considerable interest due to their role in weak ergodicity breaking in many-body systems. We present a general construction that embeds stabilizer states as QMBS of local Hamiltonians. The…

Quantum Physics · Physics 2026-01-19 Shane Dooley

The existence of Quantum Many-Body Scars, which prevents thermalization from certain initial states after a long time, has been established across different quantum many-body systems. These include gauge theories corresponding to spin-1/2…

High Energy Physics - Lattice · Physics 2024-09-04 Thea Budde , Marina Krstić Marinković , Joao C. Pinto Barros

We present a class of quantum dimer models on the kagome lattice with full translational invariance that feature a quantum many-body scar state of analytically known entanglement properties within their spectra. Using exact diagonalization…

Strongly Correlated Electrons · Physics 2021-09-29 Julia Wildeboer , Alexander Seidel , N. S. Srivatsa , Anne E. B. Nielsen , Onur Erten

We propose a general mechanism for realizing athermal finite-energy-density eigenstates -- termed interference-caged quantum many-body scars (ICQMBS) -- which originate from exact many-body destructive interference on the Fock space graph.…

Strongly Correlated Electrons · Physics 2025-04-11 Tao-Lin Tan , Yi-Ping Huang

We find exponentially many exact quantum many-body scar states in a two-dimensional PXP model -- an effective model for a two-dimensional Rydberg atom array in the nearest-neighbor blockade regime. Such scar states are remarkably simple…

Quantum Gases · Physics 2020-07-01 Cheng-Ju Lin , Vladimir Calvera , Timothy H. Hsieh

Quantum many-body scars are eigenstates in non-integrable isolated quantum systems that defy typical thermalization paradigms, violating the eigenstate thermalization hypothesis and quantum ergodicity. We identify exact analytic scar…

Quantum Physics · Physics 2025-09-25 Jeremy Hartse , Lukasz Fidkowski , Niklas Mueller

A quantum many-body scar is an eigenstate of a chaotic many-body Hamiltonian that exhibits two seemingly incongruous properties: its energy eigenvalue corresponds to a high temperature, yet its entanglement structure resembles that of…

Quantum Physics · Physics 2025-10-16 Phillip C. Burke , Shane Dooley

Quantum many-body scarring is believed to be the mechanism behind long-lived coherent oscillations in interacting Rydberg atom chains. These persistent oscillations are due to the large overlap of the many-body scars with certain initial…

Quantum Physics · Physics 2020-12-07 Shane Dooley , Graham Kells

Formation of quantum scars in many-body systems provides a novel mechanism for enhancing coherence of weakly entangled states. At the same time, coherence of edge modes in certain symmetry protected topological (SPT) phases can persist away…

Statistical Mechanics · Physics 2021-07-30 Jared Jeyaretnam , Jonas Richter , Arijeet Pal

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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