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Related papers: The scar mechanism revisited

200 papers

Chaos makes isolated systems of many interacting particles quickly thermalize and forget about their past. Here, we show that quantum mechanics hinders chaos in many-body systems: although the quantum eigenstates are thermal and strongly…

Quantum Physics · Physics 2025-07-23 Andrea Pizzi , Long-Hei Kwan , Bertrand Evrard , Ceren B. Dag , Johannes Knolle

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

Chaotic Hamiltonians are known to follow Random Matrix Theory (RMT) ensembles in the apparent randomness of their spectra and wavefunction statistics. Deviations form RMT also do occur, however, due to system-specific properties, or as…

Chaotic Dynamics · Physics 2019-05-23 Domenico Lippolis

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

In quantum chaos, the spectral statistics generally follows the predictions of Random Matrix Theory (RMT). A notable exception is given by scar states, that enhance probability density around unstable periodic orbits of the classical…

Chaotic Dynamics · Physics 2022-07-19 Domenico Lippolis

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 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

Semiclassical methods form a bridge between classical systems and their quantum counterparts. An interesting phenomenon discovered in this connection is the scar effect, whereby energy eigenstates display enhancement structures resembling…

Quantum Physics · Physics 2015-06-26 R. Vilela Mendes

This study analyzed the scar-like localization in the time-average of a timeevolving wavepacket on the desymmetrized stadium billiard. When a wavepacket is launched along the orbits, it emerges on classical unstable periodic orbits as a…

Quantum Physics · Physics 2017-03-28 Mitsuyoshi Tomiya , Shoichi Sakamoto , Eric J. Heller

A quantum eigenstate of a classically chaotic system is referred as scarred by an unstable periodic orbit if its probability density is concentrated in the vicinity of that orbit. Recently, a new class of scarring - variational scarring -…

Mesoscale and Nanoscale Physics · Physics 2025-07-17 J. Keski-Rahkonen , C. Zou , A. M. Graf , Q. Yao , T. Zhu , J. Velasco, , E. J. Heller

Generic quantum many-body systems are expected to thermalize, scrambling initial coherence while local observables relax to equilibrium values. Weak ergodicity breaking, often associated with quantum many-body scarring of homogeneous…

Quantum Physics · Physics 2026-05-25 Aron Kerschbaumer , Jean-Yves Desaules , Maksym Serbyn

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

Unlike classical system, understanding ergodicity from phase space mixing remains unclear for interacting quantum systems due to the absence of phase space trajectories. By considering an interacting spin model known as kicked coupled top,…

Statistical Mechanics · Physics 2021-09-01 Debabrata Mondal , Sudip Sinha , Subhasis Sinha

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

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

We investigate scarred resonances of a stadium-shaped chaotic microcavity. It is shown that two components with different chirality of the scarring pattern are slightly rotated in opposite ways from the underlying unstable periodic orbit,…

Chaotic Dynamics · Physics 2009-11-11 Soo-Young Lee , Jung-Wan Ryu , Tae-Yoon Kwon , Sunghwan Rim , Chil-Min Kim

A finite universe naturally supports chaotic classical motion. An ordered fractal emerges from the chaotic dynamics which we characterize in full for a compact 2-dimensional octagon. In the classical to quantum transition, the underlying…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Janna Levin , John D. Barrow

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

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.…

We report the observation of unconventional transport phenomena in a spin-1 model that supports a tower of quantum many-body scars, and we discuss their properties uncovering their peculiar nature. In quantum many-body systems, the…

Quantum Physics · Physics 2025-10-31 Gianluca Morettini , Luca Capizzi , Maurizio Fagotti , Leonardo Mazza