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We discuss a construction of quantum many-body scars in the context of holography. We consider two-dimensional conformal field theories and use their dynamical symmetries, naturally realized through the Virasoro algebra, to construct…

High Energy Physics - Theory · Physics 2023-11-15 Diego Liska , Vladimir Gritsev , Ward Vleeshouwers , Jiří Minář

We study quantum chaos in open dynamical systems and show that it is characterized by quantum fractal eigenstates located on the underlying classical strange repeller. The states with longest life times typically reveal a scars structure on…

Condensed Matter · Physics 2007-05-23 Giulio Casati , Giulio Maspero , Dima L. Shepelyansky

The main goal of the present paper is to convince that it is feasible to construct a `periodic orbit theory' of localization by extending the idea of classical action correlations. This possibility had been questioned by many researchers in…

chao-dyn · Physics 2009-10-28 Doron Cohen

We study the exact solutions of the cascade three-level atom interacting with a single mode classical and quantized field with different initial conditions of the atom. For the semiclassical model, it is found that if the atom is initially…

Quantum Physics · Physics 2007-11-27 Mihir Ranjan Nath , Surajit Sen , Gautam Gangopadhyay

Dual-unitary circuits are a class of quantum systems for which exact calculations of various quantities are possible, even for circuits that are nonintegrable. The array of known exact results paints a compelling picture of dual-unitary…

Quantum Physics · Physics 2024-01-18 Leonard Logarić , Shane Dooley , Silvia Pappalardi , John Goold

The surprisingly long-lasting oscillations observed in the dynamics of highly excited states of chains of Rydberg atoms defy the expectation that interacting systems should thermalize fast. The phenomenon is reminiscent of wavepackets in…

Quantum Physics · Physics 2024-10-23 Markus Müller , Ruslan Mushkaev

Quantum many-body scars have received much recent attention for being both intriguing non-ergodic states in otherwise quantum chaotic systems and promising candidates to encode quantum information efficiently. So far, these studies have…

Quantum Physics · Physics 2026-02-16 Antonio M. García-García , Zhongling Lu , Lucas Sá , Jacobus J. M. Verbaarschot

A new micro-irreversible 3D theory of quantum multichannel scattering in the three-body system is developed. The quantum approach is constructed on the generating trajectory tubes which allow taking into account influence of classical…

Quantum Physics · Physics 2007-05-23 Ashot S. Gevorkyan , Alexander V. Bogdanov , Gunnar Nyman

This study explores the semiclassical limit of an integrable-chaotic bosonic many-body quantum system, providing nuanced insights into its behavior. We examine classical-quantum correspondences across different interaction regimes of bosons…

Far out-of-equilibrium many-body quantum dynamics in isolated systems necessarily generate interferences beyond an Ehrenfest time scale, where quantum and classical expectation values diverge. Of great recent interest is the role these…

Quantum Physics · Physics 2018-06-20 Steven Tomsovic , Peter Schlagheck , Denis Ullmo , Juan Diego Urbina , Klaus Richter

We develop a semi-classical approximation for the scar function in the Weyl-Wigner representation in the neighborhood of a classically unstable periodic orbit of chaotic two dimensional systems. The prediction of hyperbolic fringes,…

Quantum Physics · Physics 2009-11-13 Alejandro M. F. Rivas

Although the effects of interactions in solid state systems still remains a widely open subject, some limiting cases such as the three dimensional Fermi liquid or the one-dimensional Luttinger liquid are by now well understood when one is…

Strongly Correlated Electrons · Physics 2007-05-23 Julien Vidal , Dominique Mouhanna , Thierry Giamarchi

Highly excited eigenstates of quantum many-body systems are typically featureless thermal states. Some systems, however, possess a small number of special, low-entanglement eigenstates known as quantum scars. We introduce a quantum-inspired…

Quantum Physics · Physics 2022-08-02 Tomasz Szołdra , Piotr Sierant , Maciej Lewenstein , Jakub Zakrzewski

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…

Quantum many-body scarred systems contain both thermal and non-thermal scar eigenstates in their spectra. When these systems are quenched from special initial states which share high overlap with scar eigenstates, the system undergoes…

Quantum Physics · Physics 2024-02-02 Harvey Cao , Dimitris G. Angelakis , Daniel Leykam

The Hamiltonian conservative system of two interacting particles has been considered both in classical and quantum description. The quantum model has been realized using a symmetrized two-particle basis reordered in the unperturbed energy.…

chao-dyn · Physics 2009-10-30 Fausto Borgonovi , Italo Guarneri , Felix Izrailev

We present an interpretation of scar states and quantum revivals as weakly "broken" representations of Lie algebras spanned by a subset of eigenstates of a many-body quantum system. We show that the PXP model, describing…

Strongly Correlated Electrons · Physics 2020-05-06 Kieran Bull , Jean-Yves Desaules , Zlatko Papic

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

Quantum trajectories defined in the de Broglie--Bohm theory provide a causal way to interpret physical phenomena. In this Letter, we use this formalism to analyze the short time dynamics induced by unstable periodic orbits in a classically…

Quantum Physics · Physics 2009-11-10 D. A. Wisniacki , F. Borondo , R. M. Benito

We introduce aspects of quantum chaos by analyzing the eigenvalues and the eigenstates of quantum many-body systems. The properties of quantum systems whose classical counterparts are chaotic differ from those whose classical counterparts…

Statistical Mechanics · Physics 2015-05-28 Aviva Gubin , Lea F. Santos
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