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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

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

We show that a quantum scar state, an atypical eigenstate breaking eigenstate thermalization hypothesis embedded in a many-body energy spectrum, can be constructed in flat band systems. The key idea of our construction is to make use of…

Quantum Gases · Physics 2021-01-04 Yoshihito Kuno , Tomonari Mizoguchi , Yasuhiro Hatsugai

We propose a type of phase transition in quantum many-body systems, which occurs in highly excited quantum many-body scar states, while most of the spectrum is largely unaffected. Such scar state phase transitions can be realized by…

Quantum Physics · Physics 2024-10-10 Peter Græns Larsen , Anne E. B. Nielsen

Quantum scars correspond to enhanced probability densities along unstable classical periodic orbits. In recent years, research on quantum scars has extended to various systems including the many-body regime. In this work we focus on the…

Mesoscale and Nanoscale Physics · Physics 2025-02-03 Simo Selinummi , Joonas Keski-Rahkonen , Fartash Chalangari , Esa Räsänen

The recent discovery of quantum many-body scar states has revealed the possibility of having states with low entanglement that violate the eigenstate thermalization hypothesis in nonintegrable systems. Such states with low entanglement…

Statistical Mechanics · Physics 2023-01-03 Ken K. W. Ma , A. Volya , Kun Yang

Motivated by recent observations of ergodicity breaking due to Hilbert space fragmentation in 1D Fermi-Hubbard chains with a tilted potential [Scherg et al., arXiv:2010.12965], we show that the same system also hosts quantum many-body scars…

Strongly Correlated Electrons · Physics 2021-08-16 Jean-Yves Desaules , Ana Hudomal , Christopher J. Turner , Zlatko Papić

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

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 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

We generally expect quantum systems to thermalize and satisfy the eigenstate thermalization hypothesis (ETH), which states that finite energy density eigenstates are thermal. However, some systems, such as many-body localized systems and…

Strongly Correlated Electrons · Physics 2021-09-08 Eli Chertkov , Bryan K. Clark

The suppression of chaos in quantum reality is evident in quantum scars, i.e., in enhanced probability densities along classical periodic orbits, providing opportunities in controlling quantum transport in nanoscale quantum systems. Here,…

Quantum Physics · Physics 2019-01-23 J. Keski-Rahkonen , P. J. J. Luukko , S. Åberg , E. Räsänen

We study Quantum Many-Body Scars (QMBS) in the language of commutant algebras, which are defined as symmetry algebras of families of local Hamiltonians. This framework explains the origin of dynamically disconnected subspaces seen in models…

Strongly Correlated Electrons · Physics 2025-01-07 Sanjay Moudgalya , Olexei I. Motrunich

Quantum many-body scarring (QMBS) -- a recently discovered form of weak ergodicity breaking in strongly-interacting quantum systems -- presents opportunities for mitigating thermalization-induced decoherence in quantum information…

Nonintegrable many-body quantum systems typically thermalize at long times through the mechanism of quantum chaos. However, some exceptional systems, such as those harboring quantum scars, break thermalization, serving as testbeds for…

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

Explaining quantum many-body dynamics is a long-held goal of physics. A rigorous operator algebraic theory of dynamics in locally interacting systems in any dimension is provided here in terms of time-dependent equilibrium (Gibbs)…

Statistical Mechanics · Physics 2023-08-08 Berislav Buča

We study the Hamiltonian lattice Yang-Mills theory based on spin networks that provide a useful basis to represent the physical states satisfying the Gauss law constraints. We focus on $\mathrm{SU}(2)$ Yang-Mills theory in $(2+1)$…

High Energy Physics - Lattice · Physics 2023-09-20 Tomoya Hayata , Yoshimasa Hidaka

We discuss a construction of quantum many-body scars in the context of holography. We consider two-dimensional conformal field theories and use their dynamical symmetries, naturally realized through the Virasoro algebra, to construct…

High Energy Physics - Theory · Physics 2023-11-15 Diego Liska , Vladimir Gritsev , Ward Vleeshouwers , Jiří Minář

Controlling non-equilibrium quantum dynamics in many-body systems is an outstanding challenge as interactions typically lead to thermalization and a chaotic spreading throughout Hilbert space. We experimentally investigate non-equilibrium…