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The phenomenon of periodic orbit scarring of eigenstates of classically chaotic systems is attracting increasing attention. Scarring is one of the most important "corrections" to the ideal random eigenstates suggested by random matrix…

chao-dyn · Physics 2009-08-14 L. Kaplan , E. J. Heller

We introduce the concept of ergodicity and explore its deviation caused by quantum scars in an isolated quantum system, employing a pedagogical approach based on a toy model. Quantum scars, originally identified as traces of classically…

Statistical Mechanics · Physics 2025-04-02 Sudip Sinha , S. Sinha

Quantum many-body scars are nonthermal states exhibiting persistent revivals in an otherwise ergodic, nonintegrable quantum system. Here we leverage the phenomenon of kinetic frustration -- the destructive interference of multiple quantum…

Quantum Physics · Physics 2026-05-06 Zhuoli Ding , Ruben Verresen , Zoe Z. Yan

We investigate the stability of quantum many-body scars under perturbations, within the PXP model. We numerically compute the fidelity and average correlations to monitor the state evolution and to identify revivals. The results indicate…

Quantum Physics · Physics 2024-07-23 Alessandra Chioquetta , Raphael Campos Drumond

Formation of quantum scars in many-body systems provides a novel mechanism for enhancing coherence of weakly entangled states. At the same time, coherence of edge modes in certain symmetry protected topological (SPT) phases can persist away…

Statistical Mechanics · Physics 2021-07-30 Jared Jeyaretnam , Jonas Richter , Arijeet Pal

We consider a coupled top model describing two interacting large spins, which is studied semiclassically as well as quantum mechanically. This model exhibits variety of interesting phenomena such as quantum phase transition (QPT), dynamical…

Quantum Gases · Physics 2020-09-02 Debabrata Mondal , Sudip Sinha , S. Sinha

Quantum scars are non-thermal eigenstates characterized by low entanglement entropy, initially detected in systems subject to nearest-neighbor Rydberg blockade, the so called PXP model. While most of these special eigenstates elude an…

We find exponentially many exact quantum many-body scar states in a two-dimensional PXP model -- an effective model for a two-dimensional Rydberg atom array in the nearest-neighbor blockade regime. Such scar states are remarkably simple…

Quantum Gases · Physics 2020-07-01 Cheng-Ju Lin , Vladimir Calvera , Timothy H. Hsieh

We develop an analytical approach for the description of quantum many-body scars in PXP models. We show that the scarred dynamics in the PXP model on a complete bipartite graph can be interpreted as a one-dimensional chiral scattering…

Quantum Physics · Physics 2022-03-14 Bennet Windt , Hannes Pichler

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

We predict and numerically observe strong periodic orbit effects in the properties of open quantum systems with a chaotic classical limit. Antiscars lead to a large number of exponentially narrow resonances when the opening is located on a…

chao-dyn · Physics 2009-08-14 L. Kaplan

Quantum many-body scars (QMBS) consist of a few low-entropy eigenstates in an otherwise chaotic many-body spectrum, and can weakly break ergodicity resulting in robust oscillatory dynamics. The notion of QMBS follows the original…

Quantum Gases · Physics 2024-01-17 Bertrand Evrard , Andrea Pizzi , Simeon I. Mistakidis , Ceren B. Dag

This research investigates the formation and stability of localized states, known as quantum droplets and bubbles, in the quadratic-cubic discrete nonlinear Schr\"odinger equation. Near a Maxwell point, these states emerge from two fronts…

Pattern Formation and Solitons · Physics 2025-07-21 Farrell Theodore Adriano , Hadi Susanto

The concept of quantum many-body scars has recently been put forward as a route to describe weak ergodicity breaking and violation of the Eigenstate Thermalization Hypothesis. We propose a simple setup to generate quantum many-body scars in…

Quantum Gases · Physics 2020-04-29 Hongzheng Zhao , Joseph Vovrosh , Florian Mintert , Johannes Knolle

We study the nature of the ergodicity-breaking "quantum many-body scar" states that appear in the PXP model describing constrained Rabi oscillations. For a {wide class of bipartite lattices} of Rydberg atoms, we reveal that the nearly…

Quantum Physics · Physics 2023-02-24 Keita Omiya , Markus Müller

The high level of control and precision achievable in current synthetic quantum matter setups has enabled first attempts at quantum-simulating various intriguing phenomena in condensed matter physics, including those probing thermalization…

The Schwinger model describes quantum electrodynamics in 1+1-dimensions, it is a prototype for quantum chromodynamics, and its lattice version allows for a quantum link model description that can be simulated using modern quantum devices.…

Quantum many-body scars (QMBS) constitute a new quantum dynamical regime in which rare "scarred" eigenstates mediate weak ergodicity breaking. One open question is to understand the most general setting in which these states arise. In this…

Strongly Correlated Electrons · Physics 2022-02-09 Christopher M. Langlett , Zhi-Cheng Yang , Julia Wildeboer , Alexey V. Gorshkov , Thomas Iadecola , Shenglong Xu

Parametric excitation of a Bose-Einstein condensate (BEC) can be realized by periodically changing the interaction strength between the atoms. Above some threshold strength, this excitation modulates the condensate density. We show that…

Other Condensed Matter · Physics 2015-05-13 Nadav Katz , Oded Agam

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