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The ongoing quest for understanding nonequilibrium dynamics of complex quantum systems underpins the foundation of statistical physics as well as the development of quantum technology. Quantum many-body scarring has recently opened a window…

The Hubbard model represents the fundamental model for interacting quantum systems and electronic correlations. Using the two-dimensional half-filled Hubbard model at weak coupling as a testing ground, we perform a comparative study of a…

In this paper, we investigate a family of one-dimensional multi-component quantum many-body systems. The interaction is an exchange interaction based on the familiar family of integrable systems which includes the inverse square potential.…

Condensed Matter · Physics 2009-10-22 Bill Sutherland , B. Sriram Shastry

Quantum many-body scarring (QMBS) -- a recently discovered form of weak ergodicity breaking in strongly-interacting quantum systems -- presents opportunities for mitigating thermalization-induced decoherence in quantum information…

We implement an algorithm which is aimed to reduce the number of basis states spanning the Hilbert space of quantum many-body systems. We test the efficiency of the procedure by working out and analyzing the spectral properties of strongly…

Quantum Physics · Physics 2007-05-23 Tarek Khalil , Jean Richert

In this work, based on the Fredkin spin chain, we introduce a family of spin-$1/2$ many-body Hamiltonians with a three-site interaction featuring a fragmented Hilbert space with coexisting quantum many-body scars. The fragmentation results…

Strongly Correlated Electrons · Physics 2021-08-24 Christopher M. Langlett , Shenglong Xu

Employing large-scale quantum Monte Carlo simulations, we systematically compute the energy spectra of the 2D spin-1/2 Heisenberg model with long-range interactions. With the $1/r^{\alpha}$ ferromagnetic and staggered antiferromagnetic…

Strongly Correlated Electrons · Physics 2024-03-12 Menghan Song , Jiarui Zhao , Chengkang Zhou , Zi Yang Meng

We discover a variety of exact quantum many-body scars in higher-spin kinetically constrained models, through the recently developed DMRG-S algorithm [Zhang et al., Phys. Rev. Lett. 131, 020402]. Specifically, for the higher-spin PXP model…

Strongly Correlated Electrons · Physics 2023-07-14 Dong Yuan , Shun-Yao Zhang , Dong-Ling Deng

Non-equilibrium dynamics of many-body systems is important in many branches of science, such as condensed matter, quantum chemistry, and ultracold atoms. Here we report the experimental observation of a phase transition of the quantum…

Quantum Physics · Physics 2015-09-24 Gonzalo A. Alvarez , Dieter Suter , Robin Kaiser

We study the eigenstate properties of a nonintegrable spin chain that was recently realized experimentally in a Rydberg-atom quantum simulator. In the experiment, long-lived coherent many-body oscillations were observed only when the system…

Strongly Correlated Electrons · Physics 2019-12-04 Thomas Iadecola , Michael Schecter , Shenglong Xu

The phenomenon of quantum many-body scars has received widespread attention both in theoretical and experimental physics in recent years due to its unique physical properties. In this paper, based on the $su(2)$ algebraic relations, we…

Quantum Physics · Physics 2024-03-11 Jia-Wei Wang , Xiang-Fa Zhou , Guang-Can Guo , Zheng-Wei Zhou

In quantum many-body systems with kinetically constrained dynamics, the Hilbert space can split into exponentially many disconnected subsectors, a phenomenon known as Hilbert-space fragmentation. We study the interplay of such fragmentation…

Quantum Physics · Physics 2025-10-09 Thomas Iadecola

The low-lying bound states of a microscopic quantum many-body system of $n$ particles and the related physical observables can be worked out in a truncated $n$--particle Hilbert space. We present here a non-perturbative analysis of this…

Quantum Physics · Physics 2007-05-23 J. Richert

Quantum many-body scars (QMBS) are exotic many-body states that exhibit anomalous non-thermal behavior in an otherwise ergodic system. In this work, we demonstrate a simple, scalable and intuitive construction of QMBS in a kinetically…

Quantum Physics · Physics 2025-07-23 Fan Yang , Matteo Magoni , Hannes Pichler

Long-range interacting systems may exhibit ensemble inequivalence and can possibly attain equilibrium states under completely open conditions, for which energy, volume and number of particles simultaneously fluctuate. Here we consider a…

Statistical Mechanics · Physics 2023-01-18 Alessandro Campa , Lapo Casetti , Pierfrancesco Di Cintio , Ivan Latella , J. Miguel Rubi , Stefano Ruffo

Quantum simulators, in which well controlled quantum systems are used to reproduce the dynamics of less understood ones, have the potential to explore physics that is inaccessible to modeling with classical computers. However, checking the…

Quantum Physics · Physics 2015-06-18 C. Senko , J. Smith , P. Richerme , A. Lee , W. C. Campbell , C. Monroe

Ergodicity in quantum many-body systems is - despite its fundamental importance - still an open problem. Many-body localization provides a general framework for quantum ergodicity, and may therefore offer important insights. However, the…

Disordered Systems and Neural Networks · Physics 2015-10-14 Philipp Hauke , Markus Heyl

The integrability of a quantum many-body system, which is characterized by the presence or absence of local conserved quantities, drastically impacts the dynamics of isolated systems, including thermalization. Nevertheless, a rigorous and…

Statistical Mechanics · Physics 2025-04-15 Akihiro Hokkyo

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

Generic quantum many-body systems are expected to thermalize, scrambling initial coherence while local observables relax to equilibrium values. Weak ergodicity breaking, often associated with quantum many-body scarring of homogeneous…

Quantum Physics · Physics 2026-05-25 Aron Kerschbaumer , Jean-Yves Desaules , Maksym Serbyn