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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 investigate the emergence of quantum scars in a general ensemble of random Hamiltonians (of which the PXP is a particular realization), that we refer to as quantum local random networks. We find a class of scars, that we call…

Statistical Mechanics · Physics 2023-06-28 Federica Maria Surace , Marcello Dalmonte , Alessandro Silva

We discover and characterize strong quantum scars, or eigenstates resembling classical periodic orbits, in two-dimensional quantum wells perturbed by local impurities. These scars are not explained by ordinary scar theory, which would…

Quantum Physics · Physics 2016-03-07 Perttu J. J. Luukko , Byron Drury , Anna Klales , Lev Kaplan , Eric J. Heller , Esa Räsänen

Unstable periodic orbits are known to originate scars on some eigenfunctions of classically chaotic systems through recurrences causing that some part of an initial distribution of quantum probability in its vicinity returns periodically…

Chaotic Dynamics · Physics 2010-08-17 F. Borondo , D. A. Wisniacki , E. G. Vergini , R. M. Benito

We develop the theory of quantum scars for quantum fields. By generalizing the formalisms of Heller and Bogomolny from few-body quantum mechanics to quantum fields, we find that unstable periodic classical solutions of the field equations…

High Energy Physics - Theory · Physics 2023-06-21 Jordan Cotler , Annie Y. Wei

Quantum scars refer to eigenstates with enhanced probability density along unstable classical periodic orbits (POs). First predicted 40 years ago, scars are special eigenstates that counterintuitively defy ergodicity in quantum systems…

We theoretically propose a quantum scar affecting the motion of three interacting particles in a circular trap. We numerically calculate the quantum eigenstates of the system and show that some of them are scarred by a classically unstable…

Quantum Physics · Physics 2026-04-14 D. J. Papoular , B. Zumer

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

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

Chaos plays a crucial role in numerous natural phenomena, but its quantum nature has remained large elusive. One intriguing quantum-chaotic phenomenon is the scarring of a single-particle wavefunction, where the quantum probability density…

Quantum Physics · Physics 2024-03-28 J. Keski-Rahkonen , A. M. Graf , E. J. Heller

Recent experiments on Rydberg atom arrays have found evidence of anomalously slow thermalization and persistent density oscillations, which have been interpreted as a many-body analog of the phenomenon of quantum scars. Periodic dynamics…

Quantum Physics · Physics 2020-06-05 Ana Hudomal , Ivana Vasić , Nicolas Regnault , Zlatko Papić

Quantum many-body scars in Rydberg atom arrays have thus far only been observed on bipartite lattices, leaving open the question of whether and how they survive frustration, and what the appropriate initial states are that lead to…

Quantum Physics · Physics 2026-05-08 Jean-Yves Desaules , Aron Kerschbaumer , Marko Ljubotina , Maksym Serbyn

Certain wave functions of non-interacting quantum chaotic systems can exhibit "scars" in the fabric of their real-space density profile. Quantum scarred wave functions concentrate in the vicinity of unstable periodic classical trajectories.…

The notion of many-body quantum scars is associated with special eigenstates, usually concentrated in certain parts of Hilbert space, that give rise to robust persistent oscillations in a regime that globally exhibits thermalization. Here…

Quantum Gases · Physics 2023-07-05 Quirin Hummel , Klaus Richter , Peter Schlagheck

Experiments performed on strongly interacting Rydberg atoms have revealed surprising persistent oscillations of local observables. These oscillations have been attributed to a special set of non-ergodic states, referred to as quantum…

Quantum Gases · Physics 2021-09-29 Ian Mondragon-Shem , Maxim G. Vavilov , Ivar Martin

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

A quantum scar is a wave function which displays an high intensity in the region of a classical unstable periodic orbit. Saddle scars are states related to the unstable harmonic motions along the stable manifold of a saddle point of the…

Quantum Physics · Physics 2009-10-30 R. Vilela Mendes

Quantum many-body scars represent a form of weak ergodicity breaking that highlights the unusual physics of thermalization in quantum systems. Understanding scar formation promises insight into the connection between classical statistical…

Quantum Gases · Physics 2025-03-10 William N Faugno , Hosho Katsura , Tomoki Ozawa

The phenomenon of quantum many-body scars has received widespread attention both in theoretical and experimental physics in recent years due to its unique physical properties. In this paper, based on the $su(2)$ algebraic relations, we…

Quantum Physics · Physics 2024-03-11 Jia-Wei Wang , Xiang-Fa Zhou , Guang-Can Guo , Zheng-Wei Zhou

We reveal a feature of quantum scarring in systems with many particles: Quantum scars, living densely near an unstable periodic orbit, must be compensated by corresponding antiscarred states suppressed there to establish the uniformity of…

Quantum Physics · Physics 2025-10-22 Zhongling Lu , Anton M. Graf , Eric J. Heller , Joonas Keski-Rahkonen , Ceren B. Dag
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