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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

Quantum scars are special eigenstates of many-body systems that evade thermalization. They were first discovered in the PXP model, a well-known effective description of Rydberg atom arrays. Despite significant theoretical efforts, the…

Statistical Mechanics · Physics 2025-02-26 Giuliano Giudici , Federica Maria Surace , Hannes Pichler

Quantum many-body scars have attracted much interest as a violation of the eigenstate thermalization hypothesis (ETH) due to recent experimental observation in Rydberg atoms and related theoretical studies. In this paper, we construct a…

Statistical Mechanics · Physics 2020-08-26 Kaoru Mizuta , Kazuaki Takasan , Norio Kawakami

We provide a systematic approach for constructing approximate quantum many-body scars (QMBS) starting from two-layer Floquet automaton circuits that exhibit trivial many-body revivals. We do so by applying successively more restrictions…

Quantum Physics · Physics 2022-12-07 Pierre-Gabriel Rozon , Michael J. Gullans , Kartiek Agarwal

In this letter, we study the PXP Hamiltonian with an external magnetic field that exhibits both quantum scar states and quantum criticality. It is known that this model hosts a series of quantum many-body scar states violating quantum…

Quantum Gases · Physics 2022-03-21 Zhiyuan Yao , Lei Pan , Shang Liu , Hui Zhai

We elucidate the deep connection between the PXP model, which is a standard model of quantum many-body scars, and the AKLT Hamiltonian. Using the framework of embedded Hamiltonians, we establish the connection between the PXP Hamiltonian…

Statistical Mechanics · Physics 2019-08-30 Naoto Shiraishi

It has recently been established that quantum many-body scarring can prevent the thermalisation of some isolated quantum systems, starting from certain initial states. One of the first models to show this was the so-called PXP Hamiltonian,…

Quantum Physics · Physics 2022-04-27 Shane Dooley , Graham Kells

Quantum many-body scars are atypical, highly nonthermal eigenstates embedded in a sea of thermal eigenstates that have been observed in, for example, kinetically constrained quantum many-body models. These special eigenstates are…

Strongly Correlated Electrons · Physics 2024-08-16 Wouter Buijsman , Yevgeny Bar Lev

Protecting coherent quantum dynamics from chaotic environment is key to realizations of fragile many-body phenomena and their applications in quantum technology. We present a general construction that embeds a desired periodic orbit into a…

Quantum Physics · Physics 2023-09-27 Andrew Hallam , Jean-Yves Desaules , Zlatko Papić

The presence of quantum scars, athermal eigenstates of a many-body Hamiltonian with finite energy density, leads to absence of ergodicity and long-time coherent dynamics in closed quantum systems starting from simple initial states. Such…

Quantum Physics · Physics 2020-06-02 Bhaskar Mukherjee , Sourav Nandy , Arnab Sen , Diptiman Sen , K. Sengupta

Quantum many-body scars are highly excited eigenstates of non-integrable Hamiltonians which violate the eigenstate thermalization hypothesis and are embedded in a sea of thermal eigenstates. We provide a general mechanism to construct…

Quantum Physics · Physics 2024-03-25 He-Ran Wang , Dong Yuan

One-dimensional fracton systems can exhibit perfect localization, failing to reach thermal equilibrium under arbitrary local unitary time evolution. We investigate how this nonergodic behavior manifests in the dynamics of a driven fracton…

Statistical Mechanics · Physics 2019-09-25 Shriya Pai , Michael Pretko

Floquet driven systems represent an extremely interesting arena to study out-of-equilibrium phenomena. For instance, they provide realizations of discrete time crystals, where the discrete time translation symmetry of the periodic…

Quantum Physics · Physics 2022-04-25 J. R. M. de Nova , F. Sols

The eigenstate thermalization hypothesis (ETH) provides a fundamental mechanism for emergent statistical mechanics in isolated chaotic quantum systems, asserting that individual energy eigenstates behave as pseudorandom vectors within an…

Quantum Physics · Physics 2026-05-27 Ning Sun , Yanting Cheng

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

The notion of many-body quantum scars is associated with special eigenstates, usually concentrated in certain parts of Hilbert space, that give rise to robust persistent oscillations in a regime that globally exhibits thermalization. Here…

Quantum Gases · Physics 2023-07-05 Quirin Hummel , Klaus Richter , Peter Schlagheck

Periodic driving has been established as a powerful technique for engineering novel phases of matter and intrinsically out-of-equilibrium phenomena such as time crystals. Recent work by Bluvstein et al. [Science 371, 1355 (2021)] has…

The one-dimensional tilted, periodically driven Fermi-Hubbard chain is a paradigm in the study of quantum many-body physics, particularly for solid-state systems. We uncover the emergence of Floquet scarring states, a class of quantum…

Quantum Physics · Physics 2025-04-04 Jun-Yin Huang , Li-Li Ye , Ying-Cheng Lai

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 investigate a class of periodically driven many-body systems that allows us to extend the phenomenon of prethermalization to the vicinity of isolated intermediate-to-low drive frequencies away from the high-frequency limit. We provide…

Statistical Mechanics · Physics 2021-05-05 Christoph Fleckenstein , Marin Bukov
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