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Mechanisms for suppressing thermalization in disorder-free many-body systems, such as Hilbert space fragmentation and quantum many-body scars, have recently attracted much interest in foundations of quantum statistical physics and potential…

Quantum Gases · Physics 2024-10-11 Jean-Yves Desaules , Erik J. Gustafson , Andy C. Y. Li , Zlatko Papić , Jad C. Halimeh

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

Quantum scars have recently been directly visualized in graphene quantum dots (Nature 635, 841 (2024)), revealing their resilience and influence on electron dynamics in mesoscopic systems. Here, we examine variational scarring in…

Mesoscale and Nanoscale Physics · Physics 2025-09-19 Fartash Chalangari , Joonas Keski-Rahkonen , Simo Selinummi , Esa Räsänen

We propose an exact construction for atypical excited states of a class of non-integrable quantum many-body Hamiltonians in one dimension (1D), two dimensions (2D), and three dimensins (3D) that display area law entanglement entropy. These…

Other Condensed Matter · Physics 2019-12-12 Seulgi Ok , Kenny Choo , Christopher Mudry , Claudio Castelnovo , Claudio Chamon , Titus Neupert

Unstable periodic orbits act as organizing structures for classical chaotic systems and underpin quantum scarring. Long known in single-particle systems, genuine quantum scars based on unstable periodic orbits have been recently extended to…

Statistical Mechanics · Physics 2026-04-16 Harald Schmid , Andrea Pizzi , Johannes Knolle

The many-body problem is ubiquitous in the theoretical description of physical phenomena, ranging from the behavior of elementary particles to the physics of electrons in solids. Most of our understanding of many-body systems comes from…

Quantum Gases · Physics 2016-09-16 M. Dalmonte , S. Montangero

Gauge theories describe the fundamental forces of nature. However, high-energy dynamics, such as the formation of quark-gluon plasmas, is notoriously difficult to model with classical methods. Quantum simulation offers a promising…

Quantum many-body scar states are many-body states with finite energy density in non-integrable models that do not obey the eigenstate thermalization hypothesis. Recent works have revealed "towers" of scar states that are exactly known and…

Strongly Correlated Electrons · Physics 2020-05-21 Daniel K. Mark , Cheng-Ju Lin , Olexei I. Motrunich

We construct several models with multiple quantum many-body scars (QMBS) using integrable boundary states (IBS). Specifically, we focus on the tilted N\'eel states, which are parametrized IBS for the spin-1/2 Heisenberg chain, and show that…

Statistical Mechanics · Physics 2026-03-31 Kazuyuki Sanada , Yuan Miao , Hosho Katsura

We identify quantum many-body scars in the transverse field quantum Ising model on a ladder. We make explicit how the corresponding (mid spectrum, low entanglement) many-body eigenstates can be approximated by injecting quasi-particle…

Strongly Correlated Electrons · Physics 2020-07-01 Bart van Voorden , Jiří Minář , Kareljan Schoutens

Recently a class of quantum systems exhibiting weak ergodicity breaking has attracted much attention. These systems feature a special band of eigenstates called quantum many-body scar states in the energy spectrum. In this work we study the…

Disordered Systems and Neural Networks · Physics 2021-12-28 Ke Huang , Yu Wang , Xiao Li

We demonstrate that the kinematically-constrained model of Rydberg atoms on a two-leg ladder with staggered detuning, $\Delta \in [0,1]$, has quantum many-body scars (QMBS) in its spectrum and represents a non-perturbative generalization of…

Quantum Physics · Physics 2025-04-04 Mainak Pal , Madhumita Sarkar , K. Sengupta , Arnab Sen

We analyze quantum dynamics of strongly interacting, kinetically constrained many-body systems. Motivated by recent experiments demonstrating surprising long-lived, periodic revivals after quantum quenches in Rydberg atom arrays, we…

Quantum Physics · Physics 2019-01-31 Wen Wei Ho , Soonwon Choi , Hannes Pichler , Mikhail D. Lukin

Quantum many-body scars (QMBS) appear in a flat-band model with interactions on the saw-tooth lattice. The flat-band model includes a compact support localized eigenstates, called compact localized state (CLS). Some characteristic many-body…

Statistical Mechanics · Physics 2021-08-25 Yoshihito Kuno , Tomonari Mizoguchi , Yasuhiro Hatsugai

Quantum scars are special eigenstates of many-body systems that evade thermalization. They were first discovered in the PXP model, a well-known effective description of Rydberg atom arrays. Despite significant theoretical efforts, the…

Statistical Mechanics · Physics 2025-02-26 Giuliano Giudici , Federica Maria Surace , Hannes Pichler

Locally constrained gauge theories underpin our understanding of fundamental interactions in particle physics and the emergent behaviour of quantum materials. In strongly correlated systems, they can give rise to quantum spin liquids that…

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

Quantum dynamics in certain kinetically-constrained systems can display a strong sensitivity to the initial condition, wherein some initial states give rise to persistent quantum revivals -- a type of weak ergodicity breaking known as…

The theory of quantum scarring -- a remarkable violation of quantum unique ergodicity -- rests on two complementary pillars: the existence of unstable classical periodic orbits and the so-called quasimodes, i.e., the non-ergodic states that…

Quantum Physics · Physics 2021-05-03 Christopher J. Turner , Jean-Yves Desaules , Kieran Bull , Zlatko Papić

In some quantum many-body systems, the Hilbert space breaks up into a large ergodic sector and a much smaller scar subspace. It has been suggested [arXiv:2007.00845] that the two sectors may be distinguished by their transformation…

Strongly Correlated Electrons · Physics 2023-12-07 Z. Sun , F. K. Popov , I. R. Klebanov , K. Pakrouski