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Presently, noisy intermediate-scale quantum computers encounter significant technological challenges that make it impossible to generate large amounts of entanglement. We leverage this technological constraint as a resource and demonstrate…

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

Quantum many-body scar states are many-body states with finite energy density in non-integrable models that do not obey the eigenstate thermalization hypothesis. Recent works have revealed "towers" of scar states that are exactly known and…

Strongly Correlated Electrons · Physics 2020-05-21 Daniel K. Mark , Cheng-Ju Lin , Olexei I. Motrunich

The discovery of Quantum Many-Body Scars (QMBS) both in Rydberg atom simulators and in the Affleck-Kennedy-Lieb-Tasaki (AKLT) spin-1 chain model, have shown that a weak violation of ergodicity can still lead to rich experimental and…

Strongly Correlated Electrons · Physics 2022-07-13 Sanjay Moudgalya , B. Andrei Bernevig , Nicolas Regnault

Quantum many-body scar states are highly excited eigenstates of many-body systems that exhibit atypical entanglement and correlation properties relative to typical eigenstates at the same energy density. Scar states also give rise to…

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…

We study the spectral properties of $D$-dimensional $N=2$ supersymmetric lattice models. We find systematic departures from the eigenstate thermalization hypothesis (ETH) in the form of a degenerate set of ETH-violating supersymmetric…

Statistical Mechanics · Physics 2020-10-13 Federica Maria Surace , Giuliano Giudici , Marcello Dalmonte

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

While the concepts of quantum many-body integrability and chaos are of fundamental importance for the understanding of quantum matter, their precise definition has so far remained an open question. In this work, we introduce an alternative…

Statistical Mechanics · Physics 2023-12-01 Reyhaneh Khasseh , Jiaju Zhang , Markus Heyl , M. A. Rajabpour

In this work, we present new, highly non-trivial area-law exact zero-energy eigenstates of the one-dimensional (1D) PXP and related models. We formulate sufficient conditions for a matrix product state to represent an exact zero-energy…

Quantum Physics · Physics 2025-03-21 Andrew N. Ivanov , Olexei I. Motrunich

We experimentally and theoretically demonstrate spinor gases driven by spin-flopping fields are excellent platforms for investigating ergodicity breaking and quantum scarring. We observe that specific initial states remain nonthermal at…

Quantum Gases · Physics 2025-03-21 J. O. Austin-Harris , I. Rana , S. E. Begg , C. Binegar , T. Bilitewski , Y. Liu

Numerical calculations studying bound eigenstates in chaotic regions of phase space, including those of the stadium billiard, are summarized. These calculations demonstrate that the scars of periodic orbit model is seriously flawed. An…

chao-dyn · Physics 2008-02-03 Michael J. Davis

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 many-body scars (QMBS) constitute a new quantum dynamical regime in which rare "scarred" eigenstates mediate weak ergodicity breaking. One open question is to understand the most general setting in which these states arise. In this…

Strongly Correlated Electrons · Physics 2022-02-09 Christopher M. Langlett , Zhi-Cheng Yang , Julia Wildeboer , Alexey V. Gorshkov , Thomas Iadecola , Shenglong Xu

We show that the rainbow state, which has volume law entanglement entropy for most choices of bipartitions, can be embedded in a many-body localized spectrum. For a broad range of disorder strengths in the resulting model, we numerically…

Disordered Systems and Neural Networks · Physics 2023-09-08 N. S. Srivatsa , Hadi Yarloo , Roderich Moessner , Anne E. B. Nielsen

While the chiral linear Luttinger liquid is integrable via bosonization, its non-linear counterpart does not admit for an analytic solution. In this work, we find a sub-extensive number of exact eigenstates for a large family of…

Strongly Correlated Electrons · Physics 2022-01-28 Frank Schindler , Nicolas Regnault , B. Andrei Bernevig

We propose an exact construction for atypical excited states of a class of non-integrable quantum many-body Hamiltonians in one dimension (1D), two dimensions (2D), and three dimensins (3D) that display area law entanglement entropy. These…

Other Condensed Matter · Physics 2019-12-12 Seulgi Ok , Kenny Choo , Christopher Mudry , Claudio Castelnovo , Claudio Chamon , Titus Neupert

We investigate the stability of quantum many-body scars under perturbations, within the PXP model. We numerically compute the fidelity and average correlations to monitor the state evolution and to identify revivals. The results indicate…

Quantum Physics · Physics 2024-07-23 Alessandra Chioquetta , Raphael Campos Drumond

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 uncover the exact athermal eigenstates in the Bose-Hubbard (BH) model with a three-body constraint, motivated by the exact construction of quantum many-body scar (QMBS) states in the $S=1$ $XY$ model. These states are generated by…

Quantum Gases · Physics 2024-01-19 Ryui Kaneko , Masaya Kunimi , Ippei Danshita
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