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Related papers: Quantum scars and regular eigenstates in a chaotic…

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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 develop a systematic method for constructing asymptotic quantum many-body scar (AQMBS) states. While AQMBS states are closely related to quantum many-body scar (QMBS) states, they exhibit key differences. Unlike QMBS states, AQMBS states…

Statistical Mechanics · Physics 2025-11-07 Masaya Kunimi , Yusuke Kato , Hosho Katsura

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

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…

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

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

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

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

We study scarring phenomena in open quantum systems. We show numerical evidence that individual resonance eigenstates of an open quantum system present localization around unstable short periodic orbits in a similar way as their closed…

Quantum Physics · Physics 2009-11-13 Diego Wisniacki , Gabriel G. Carlo

Three-dimensional (3D) strongly correlated many-body systems, especially their dynamics across quantum phase transitions, are prohibitively difficult to be numerically simulated. We experimentally demonstrate that such complex many-body…

Quantum Gases · Physics 2021-08-02 J. O. Austin , Z. Chen , Z. N. Shaw , K. W. Mahmud , Y. Liu

We present a novel extension of the concept of scars for the wave functions of classically chaotic few-body systems of identical particles with rotation and permutation symmetry. Generically there exist manifolds in classical phase space…

chao-dyn · Physics 2009-10-30 T. Papenbrock , T. H. Seligman , H. A. Weidenmueller

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 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

We construct a 1D model Hamiltonian of spinless fermions for which the spinless analogue of $\eta$-pairing states are quantum many-body scars of the model. These states are excited states and display subvolume entanglement entropy scaling;…

Strongly Correlated Electrons · Physics 2022-12-29 Lorenzo Gotta , Leonardo Mazza , Pascal Simon , Guillaume Roux

We study the quantum-classical correspondence for systems with interacting spin-particles that are strongly chaotic in the classical limit. This is done in the presence of constants of motion associated with the fixed angular momenta of…

Statistical Mechanics · Physics 2023-05-10 Luis Benet , Fausto Borgonovi , Felix M. Izrailev , Lea F. Santos

Recent experimental observation of weak ergodicity breaking in Rydberg atom quantum simulators has sparked interest in quantum many-body scars - eigenstates which evade thermalisation at finite energy densities due to novel mechanisms that…

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

The eigenstate thermalization hypothesis (ETH) provides a fundamental mechanism for emergent statistical mechanics in isolated chaotic quantum systems, asserting that individual energy eigenstates behave as pseudorandom vectors within an…

Quantum Physics · Physics 2026-05-27 Ning Sun , Yanting Cheng

Our current understanding of quantum chaos in many-body quantum systems hinges on the random matrix theory(RMT) behavior of eigenstates and their energy level statistics. Although RMT has been remarkably successful in describing `coarse'…

Statistical Mechanics · Physics 2025-08-05 Christopher M. Langlett , Joaquin F. Rodriguez-Nieva

Numerical calculations studying bound eigenstates in chaotic regions of phase space, including those of the stadium billiard, are summarized. These calculations demonstrate that the scars of periodic orbit model is seriously flawed. An…

chao-dyn · Physics 2008-02-03 Michael J. Davis