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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

In most quantum sensing schemes, interactions between the constituent particles of the sensor are expected to lead to thermalisation and degraded sensitivity. However, recent theoretical and experimental work has shown that the phenomenon…

Quantum Physics · Physics 2021-09-22 Shane Dooley

We prove the existence of scarred eigenstates for star graphs with scattering matrices at the central vertex which are either a Fourier transform matrix, or a matrix that prohibits back-scattering. We prove the existence of scars that are…

Mathematical Physics · Physics 2018-09-26 Gregory Berkolaiko , Brian Winn

We construct a set of exact, highly excited eigenstates for a nonintegrable spin-1/2 model in one dimension that is relevant to experiments on Rydberg atoms in the antiblockade regime. These states provide a new solvable example of quantum…

Strongly Correlated Electrons · Physics 2020-01-30 Thomas Iadecola , Michael Schecter

Comparisons of experimental data with numerical predictions of a classical model indicate that an excited hydrogen atom in a pulsed microwave electric field exhibits a nonclassical increase of stability over a relatively wide range of…

Atomic Physics · Physics 2009-06-30 Luca C. Perotti

We describe the statistics of chaotic wavefunctions near periodic orbits using a basis of states which optimise the effect of scarring. These states reflect the underlying structure of stable and unstable manifolds in phase space and…

Chaotic Dynamics · Physics 2009-11-10 Soo-Young Lee , Stephen C. Creagh

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

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

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

Weakly interacting quasiparticles play a central role in the low-energy description of many phases of quantum matter. At higher energies, however, quasiparticles cease to be well-defined in generic many-body systems due to a proliferation…

Strongly Correlated Electrons · Physics 2024-01-12 Anushya Chandran , Thomas Iadecola , Vedika Khemani , Roderich Moessner

We demonstrate that quantum interference of electronic waves that are scattered by multiple magnetic impurities in an s-wave superconductor gives rise to novel bound states. We predict that by varying the inter-impurity distance or the…

Strongly Correlated Electrons · Physics 2009-11-07 Dirk K. Morr , Nikolaos A. Stavropoulos

Quantum many-body scars are atypical nonthermal states embedded in the chaotic spectrum that evade conventional ergodicity. We show that asymptotically AdS mini-boson stars provide a holographic realization of scar-like states. Their…

High Energy Physics - Theory · Physics 2026-05-05 Yan Liu , Ya-Wen Sun , Yuan-Tai Wang

Quantum many-body scars (QMBS) represent a weak ergodicity-breaking phenomenon that defies the common scenario of thermalization in closed quantum systems. They are often regarded as a many-body analog of quantum scars (QS) -- a…

Quantum Physics · Physics 2024-10-24 Keita Omiya

Special quantum states exist which are quasiclassical quantizations of regions of phase space that are weakly chaotic. In a weakly chaotic region, the orbits are quite regular and remain in the region for some time before escaping and…

Chaotic Dynamics · Physics 2009-10-31 R. E. Prange , R. Narevich , Oleg Zaitsev

Recent discovery of persistent revivals in quantum simulators based on Rydberg atoms have pointed to the existence of a new type of dynamical behavior that challenged the conventional paradigms of integrability and thermalization. This…

Quantum Physics · Physics 2021-05-31 Maksym Serbyn , Dmitry A. Abanin , Zlatko Papić

Properties related to entanglement in quantum systems, are known to be associated with distinct properties of the corresponding classical systems, as for example stability, integrability and chaos. This means that the detailed topology,…

Quantum Physics · Physics 2009-11-13 George Stamatiou , Demetris P. K. Ghikas

We consider the properties of the random regular graph with node degree $d$ perturbed by chemical potentials $\mu_k$ for a number of short $k$-cycles. We analyze both numerically and analytically the phase diagram of the model in the…

Disordered Systems and Neural Networks · Physics 2023-09-15 Daniil Kochergin , Ivan M. Khaymovich , Olga Valba , Alexander Gorsky

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

Quantum coherence, the physical property underlying fundamental phenomena such as multi-particle interference and entanglement, has emerged as a valuable resource upon which modern technologies are founded. In general, the most prominent…

The control of many-body quantum dynamics in complex systems is a key challenge in the quest to reliably produce and manipulate large-scale quantum entangled states. Recently, quench experiments in Rydberg atom arrays (Bluvstein et. al.,…

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