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We investigate a one-dimensional correlated-hopping model of spinless fermions with an East constraint. We first analytically unravel the complete fragmentation structure of this model by labeling each fragment by a unique root…

Statistical Mechanics · Physics 2025-01-13 Maitri Ganguli , Sreemayee Aditya , Diptiman Sen

We investigate the meson excitations (particle-antiparticle bound states) in quantum many-body scars of a 1D $\mathbb{Z}_2$ lattice gauge theory coupled to a dynamical spin-$\frac{1}{2}$ chain as a matter field. By introducing a string…

Strongly Correlated Electrons · Physics 2024-06-11 Zi-Yong Ge , Yu-Ran Zhang , Franco Nori

We demonstrate the presence of anomalous high-energy eigenstates, or many-body scars, in $U(1)$ quantum link and quantum dimer models on square and rectangular lattices. In particular, we consider the paradigmatic Rokhsar-Kivelson…

Strongly Correlated Electrons · Physics 2022-05-09 Saptarshi Biswas , Debasish Banerjee , Arnab Sen

Quantum many-body scar states are special eigenstates of nonintegrable models with distinctive entanglement features that give rise to infinitely long-lived coherent dynamics under quantum quenches from certain initial states. We elaborate…

Strongly Correlated Electrons · Physics 2022-12-07 Julia Wildeboer , Christopher M. Langlett , Zhi-Cheng Yang , Alexey V. Gorshkov , Thomas Iadecola , Shenglong Xu

Quantum many-body scars (QMBS) appear in a flat-band model with interactions on the saw-tooth lattice. The flat-band model includes a compact support localized eigenstates, called compact localized state (CLS). Some characteristic many-body…

Statistical Mechanics · Physics 2021-08-25 Yoshihito Kuno , Tomonari Mizoguchi , Yasuhiro Hatsugai

We introduce a family of non-integrable 1D lattice models that feature robust periodic revivals under a global quench from certain initial product states, thus generalizing the phenomenon of many-body scarring recently observed in Rydberg…

Statistical Mechanics · Physics 2019-07-24 Kieran Bull , Ivar Martin , Z. Papić

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

We construct a 1D model Hamiltonian of spinless fermions for which the spinless analogue of $\eta$-pairing states are quantum many-body scars of the model. These states are excited states and display subvolume entanglement entropy scaling;…

Strongly Correlated Electrons · Physics 2022-12-29 Lorenzo Gotta , Leonardo Mazza , Pascal Simon , Guillaume Roux

We revisit the $\eta$-pairing states in Hubbard models and explore their connections to quantum many-body scars to discover a universal scars mechanism. $\eta$-pairing occurs due to an algebraic structure known as a Spectrum Generating…

Strongly Correlated Electrons · Physics 2020-08-21 Sanjay Moudgalya , Nicolas Regnault , B. Andrei Bernevig

The eigenstate thermalization hypothesis describes how isolated many-body quantum systems reach thermal equilibrium. However, quantum many-body scars and Hilbert space fragmentation violate this hypothesis and cause nonthermal behavior. We…

Strongly Correlated Electrons · Physics 2024-08-06 Pieter H. Harkema , Michael Iversen , Anne E. B. Nielsen

Isolated interacting quantum systems generally thermalize, yet there are several examples for the breakdown of ergodicity, such as many-body localization and quantum scars. Recently, ergodicity breaking has been observed in systems…

The thermalization of isolated quantum many-body systems is deeply related to fundamental questions of quantum information theory. While integrable or many-body localized systems display non-ergodic behavior due to extensively many…

Quantum many-body scarring (QMBS) has emerged as an intriguing paradigm of weak ergodicity breaking in nonintegrable quantum many-body models, particularly lattice gauge theories (LGTs) in $1+1$ spacetime dimensions. However, an open…

Quantum Gases · Physics 2024-03-29 Jesse Osborne , Ian P. McCulloch , Jad C. Halimeh

To provide a physical example of quantum scars, we study the many-body scars in the spin-1 Kitaev chain where the so-called PXP Hamiltonian is exactly embedded in the spectra. Regarding the conserved quantities, the Hilbert space is…

Strongly Correlated Electrons · Physics 2022-02-11 Wen-Long You , Zhuan Zhao , Jie Ren , Gaoyong Sun , Liangsheng Li , Andrzej M. Oleś

We study a driven, spin-orbit coupled fermionic system in a lattice at the resonant regime where the drive frequency equals the Hubbard repulsion, for which non-trivial constrained dynamics emerge at fast timescales. An effective…

Quantum Physics · Physics 2019-10-02 Mikhail Mamaev , Itamar Kimchi , Michael A. Perlin , Rahul M. Nandkishore , Ana Maria Rey

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 scars refer to eigenstates with enhanced probability density along unstable classical periodic orbits (POs). First predicted 40 years ago, scars are special eigenstates that counterintuitively defy ergodicity in quantum systems…

In this article, we elucidate the structure and properties of a class of anomalous high-energy states of matter-free $U(1)$ quantum link gauge theory Hamiltonians using numerical and analytical methods. Such anomalous states, known as…

High Energy Physics - Lattice · Physics 2024-02-29 Indrajit Sau , Paolo Stornati , Debasish Banerjee , Arnab Sen

Hilbert space fragmentation provides a mechanism to break ergodicity in closed many-body systems. Here, we propose a feasible scheme to explore this exotic paradigm on a Rydberg quantum simulator. We show that the Rydberg Ising model in the…

Quantum Physics · Physics 2025-04-28 Fan Yang , Hadi Yarloo , Hua-Chen Zhang , Klaus Mølmer , Anne E. B. Nielsen

Scar eigenstates in a many-body system refers to a small subset of non-thermal finite energy density eigenstates embedded into an otherwise thermal spectrum. This novel non-thermal behaviour has been seen in recent experiments simulating a…

Quantum Physics · Physics 2024-01-12 Sourav Nandy , Bhaskar Mukherjee , Arpan Bhattacharyya , Aritra Banerjee
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