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A novel approach is suggested for the statistical description of quantum systems of interacting particles. The key point of this approach is that a typical eigenstate in the energy representation (shape of eigenstates, SE) has a well…

Chaotic Dynamics · Physics 2014-07-29 F. Borgonovi , G. Celardo , F. M. Izrailev , G. Casati

The complexity of highly excited eigenstates is a central theme in nonequilibrium many-body physics, underpining questions of thermalization, classical simulability, and quantum information structure. In this work, considering the…

Quantum Physics · Physics 2026-03-04 Sabhyata Gupta , Piotr Sierant , Luis Santos , Paolo Stornati

Quantum many-body scars, long-lived excited states of correlated quantum chaotic systems that evade thermalization, are of great fundamental and technological interest. We create novel scar states in a bosonic 1D quantum gas of dysprosium…

Quantum Gases · Physics 2021-04-28 Wil Kao , Kuan-Yu Li , Kuan-Yu Lin , Sarang Gopalakrishnan , Benjamin L. Lev

A genuinely three-dimensional system, viz. the hyperbolic 4-sphere scattering system, is investigated with classical, semiclassical, and quantum mechanical methods at various center-to-center separations of the spheres. The efficiency and…

Chaotic Dynamics · Physics 2009-11-10 J. Main , E. Atilgan , H. S. Taylor , G. Wunner

Quantum many-body scars (QMBS) offer a mechanism for weak ergodicity breaking, enabling non-thermal dynamics to persist in a chaotic many-body system. While most studies of QMBS focus on anomalous eigenstate properties or long-lived…

Quantum Physics · Physics 2025-11-06 Shane Dooley , Luke Johnston , Patrick Gormley , Beth Campbell

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 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

We propose a scheme that generates period-doubled responses via periodically driving certain Hamiltonians hosting quantum many-body scars, akin to recent experimental observations in driven Rydberg atom arrays. Our construction takes…

Statistical Mechanics · Physics 2023-12-01 Wentai Deng , Zhi-Cheng Yang

The correlation between level velocities and eigenfunction intensities provides a new way of exploring phase space localization in quantized non-integrable systems. It can also serve as a measure of deviations from ergodicity due to quantum…

Chaotic Dynamics · Physics 2009-10-31 Arul Lakshminarayan , Nicholas R. Cerruti , Steven Tomsovic

Stable bound quantum states are ubiquitous in nature. Mostly, they result from the interaction of only pairs of particles, so called two-body interactions, even when large complex many-particle structures are formed. We show that…

Strongly Correlated Electrons · Physics 2022-09-15 Gary Schmiedinghoff , Leanna Müller , Umesh Kumar , Götz S. Uhrig , Benedikt Fauseweh

The far-from-equilibrium dynamics of certain interacting quantum systems still defy precise understanding. One example is the so-called quantum many-body scars (QMBSs), where a set of energy eigenstates evade thermalization to give rise to…

Strongly Correlated Electrons · Physics 2025-08-20 Yuchen Meng , Songtai Lv , Yang Liu , Zefan Tan , Erhai Zhao , Haiyuan Zou

Quantum many-body scars are energy eigenstates which fail to reproduce thermal expectation values of local observables, in systems where the rest of the many-body spectrum fulfils eigenstate thermalization. Experimental observation of…

Quantum Physics · Physics 2026-02-11 Peter Græns Larsen , Anne E. B. Nielsen , André Eckardt , Francesco Petiziol

In the three-body problem with positive energy, solutions which avoid triple collision have the property that the size of the triangle formed by the bodies tends to infinity as $t\rightarrow \pm\infty$. Furthermore, the triangles have…

Dynamical Systems · Mathematics 2026-02-20 Richard Moeckel

Consider a bipartite quantum system with at least one of its two components being itself a composite system. By tracing over part of one (or both) of these two subsystems it is possible to obtain a reduced (separable) state that exhibits…

Quantum Physics · Physics 2015-04-10 Guido Bellomo , Ana P. Majtey , A. R. Plastino , A. Plastino

The interplay between the non-Hermitian skin effect and the imaginary gap of lossy lattices results in the edge burst, a boundary-induced dynamical phenomenon in which an exceptionally large portion of particle loss occurs at the edge.…

Quantum Physics · Physics 2023-12-19 Yu-Min Hu , Wen-Tan Xue , Fei Song , Zhong Wang

We propose a picture of Wigner function scars as a sequence of concentric rings along a two-dimensional surface inside a periodic orbit. This is verified for a two-dimensional plane that contains a classical orbit of a Hamiltonian system…

Chaotic Dynamics · Physics 2009-10-31 Fabricio Toscano , Marcus A. M. de Aguiar , Alfredo M. Ozorio de Almeida

In coupled reaction-diffusion systems, modes with two different length scales can interact to produce a wide variety of spatiotemporal patterns. Three-wave interactions between these modes can explain the occurrence of spatially complex…

Pattern Formation and Solitons · Physics 2020-04-14 Jennifer K. Castelino , Daniel J. Ratliff , Alastair M. Rucklidge , Priya Subramanian , Chad M. Topaz

The weak ergodicity breaking induced by quantum many-body scars (QMBS) represents an intriguing concept that has received great attention in recent years due to its relation to unusual non-equilibrium behaviour. Here we reveal that this…

Quantum effects in statistical mechanics are important when the thermal wavelength is of the order of, or greater than, the mean interatomic spacing. This is examined at depth taking the example of a hard-sphere Boltzmann gas. Using the…

Statistical Mechanics · Physics 2009-11-11 R. K. Bhaduri , W. van Dijk , M. K. Srivastava

Isolated quantum many-body systems are often well-described by the eigenstate thermalization hypothesis. There are, however, mechanisms that cause different behavior: many-body localization and quantum many-body scars. Here, we show how one…

Disordered Systems and Neural Networks · Physics 2023-05-24 Michael Iversen , Anne E. B. Nielsen