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Related papers: Quantum scars in spin-1/2 isotropic Heisenberg clu…

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The origin of continuous energy spectra in large disordered interacting quantum systems is one of the key unsolved problems in quantum physics. While small quantum systems with discrete energy levels are noiseless and stay coherent forever…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Emilio Cuevas , Mikhail Feigel'man , Lev Ioffe , Marc Mezard

We theoretically propose a quantum scar affecting the motion of three interacting particles in a circular trap. We numerically calculate the quantum eigenstates of the system and show that some of them are scarred by a classically unstable…

Quantum Physics · Physics 2026-04-14 D. J. Papoular , B. Zumer

We address the ground-state properties of the long-standing and much-studied three-dimensional quantum spin liquid candidate, the $S=\frac 1 2$ pyrochlore Heisenberg antiferromagnet. By using $SU(2)$ density-matrix renormalization group…

Strongly Correlated Electrons · Physics 2021-03-24 Imre Hagymási , Robin Schäfer , Roderich Moessner , David J. Luitz

In this paper, we study the thermodynamic properties of spin-$1/2$ antiferromagnetic Heisenberg ladders by means of the stochastic series expansion quantum Monte Carlo technique. This includes the thermal properties of the specific heat,…

Statistical Mechanics · Physics 2024-04-01 Erol Vatansever , Georgi G. Grahovski , Nikolaos G. Fytas

We consider the spectrum of a $U(1)$ quantum link model where gauge fields are realized as $S=1/2$ spins and demonstrate a new mechanism for generating quantum many-body scars (high-energy eigenstates that violate the eigenstate…

Strongly Correlated Electrons · Physics 2021-06-08 Debasish Banerjee , Arnab Sen

Non-equilibrium properties of quantum materials present many intriguing properties, among them athermal behavior, which violates the eigenstate thermalization hypothesis. Such behavior has primarily been observed in disordered systems. More…

Strongly Correlated Electrons · Physics 2020-07-01 Kyungmin Lee , Ronald Melendrez , Arijeet Pal , Hitesh J. Changlani

We investigate the two-dimensional frustrated quantum Heisenberg model with bond disorder on nearest-neighbor couplings using the recently introduced Foundation Neural-Network Quantum States framework, which enables accurate and efficient…

Quantum scars are nonthermal eigenstates that prevent thermalization of initial states with weight on the scars. When the scar states are equally spaced in energy, superpositions of scars show oscillating local observables that can be…

Statistical Mechanics · Physics 2024-10-16 Nicholas O'Dea , Adithya Sriram

Open quantum systems have complex energy eigenvalues which are expected to follow non-Hermitian random matrix statistics when chaotic, or 2-dimensional (2d) Poisson statistics when integrable. We investigate the spectral properties of a…

Statistical Mechanics · Physics 2025-01-28 G. Akemann , F. Balducci , A. Chenu , P. Päßler , F. Roccati , R. Shir

We construct a class of quantum many-body systems hosting an $\mathfrak{su}(3)$-invariant scar subspace, extending the conventional paradigm of quantum many-body scars beyond equally spaced spectra and single-directional tower structures.…

Statistical Mechanics · Physics 2026-04-22 Chihiro Matsui

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

The spin-1/2 quantum Heisenberg model is studied in all spatial dimensions d by renormalization-group theory. Strongly asymmetric phase diagrams in temperature and antiferromagnetic bond probability p are obtained in dimensions d \geq 3.…

Disordered Systems and Neural Networks · Physics 2009-11-13 C. Nadir Kaplan , A. Nihat Berker

We study Hilbert space fragmentation and quantum scars in quantum spin systems with Ising interactions. The system consists of two sets of quantum spins, A and B. As the parent system, set A is an Ising model on arbitrary lattices with a…

Strongly Correlated Electrons · Physics 2026-04-06 E. S. Ma , Z. Song

The spin-1/2 antiferromagnetic Heisenberg systems are studied on three typical diamond-type hierarchical lattices (systems A, B and C) with fractal dimensions 1.63, 2 and 2.58, respectively, and the phase diagrams, critical phenomena and…

Statistical Mechanics · Physics 2021-07-13 Pan-Pan Zhang , Zhong-Yang Gao , Yu-Liang Xu , Chun-Yang Wang , Xiang-Mu Kong

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

Recently has been observed for some one-dimensional models that exhibit unexpected pseudo-transitions and quasi-phases. This pseudo-transition resembles a first- and second-order phase transition simultaneously. One of those models is the…

Strongly Correlated Electrons · Physics 2018-06-18 I. M. Carvalho , J. Torrico , S. M. de Souza , M. Rojas , O. Rojas

Quantum many-body scars in Rydberg atom arrays have thus far only been observed on bipartite lattices, leaving open the question of whether and how they survive frustration, and what the appropriate initial states are that lead to…

Quantum Physics · Physics 2026-05-08 Jean-Yves Desaules , Aron Kerschbaumer , Marko Ljubotina , Maksym Serbyn

We investigate finite two-dimensional disordered systems with periodic confinement. At low energies, eigenstates exhibit strong Anderson localization, while at higher energies a subset of states exhibits variational scarring with…

Quantum Physics · Physics 2026-05-28 Fartash Chalangari , Anant Vijay Varma , Joonas Keski-Rahkonen , Esa Räsänen

We present the results of an exact diagonalization study of the spin-1/2 Heisenberg antiferromagnet on a two-dimensional version of the pyrochlore lattice, also known as the square lattice with crossings or the checkerboard lattice.…

Strongly Correlated Electrons · Physics 2009-11-07 S. E. Palmer , J. T. Chalker

We study the stability of the many-body scars in spin-1/2 fermionic systems under the most typical perturbations in relevant materials. We find that some families of scars are completely insensitive to certain perturbations. In some other…

Strongly Correlated Electrons · Physics 2024-01-10 Patrice Kolb , Kiryl Pakrouski