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Quantum many-body scars break ergodicity and evade thermalization, resulting in sub-volume law entanglement entropy even with high energy density. While their quantum correlations and entanglement have been elaborated previously, their…

Quantum Physics · Physics 2026-05-13 Zhaohui Zhi , Qingyun Qian , Jin-Guo Liu , Guo-Yi Zhu

The eta-pairing states are a set of exactly known eigenstates of the Hubbard model on hypercubic lattices, first discovered by Yang [Phys. Rev. Lett. 63, 2144 (1989)]. These states are not many-body scar states in the Hubbard model because…

Strongly Correlated Electrons · Physics 2020-08-27 Daniel K. Mark , Olexei I. Motrunich

Recent studies of interacting systems of quantum spins, ultracold atoms and correlated fermions have shed a new light on how isolated many-body systems can avoid rapid equilibration to their thermal state. It has been shown that many such…

Quantum Gases · Physics 2021-08-10 Zlatko Papić

Quantum many-body scars are energy eigenstates which fail to reproduce thermal expectation values of local observables, in systems where the rest of the many-body spectrum fulfils eigenstate thermalization. Experimental observation of…

Quantum Physics · Physics 2026-02-11 Peter Græns Larsen , Anne E. B. Nielsen , André Eckardt , Francesco Petiziol

Confinement of fractionalized excitations can strongly restructure many-body spectra. We investigate this phenomenon in the gapped spin-$\frac{1}{2}$ XXZ chain subject to a staggered field, where spinons bind into domain-wall ``mesons''…

Strongly Correlated Electrons · Physics 2025-11-20 Julia Wildeboer , Marton Lajer , Robert M. Konik

Quantum many-body scarring is believed to be the mechanism behind long-lived coherent oscillations in interacting Rydberg atom chains. These persistent oscillations are due to the large overlap of the many-body scars with certain initial…

Quantum Physics · Physics 2020-12-07 Shane Dooley , Graham Kells

Thermalization in isolated quantum systems is governed by the eigenstate thermalization hypothesis, while strong disorder can induce its breakdown via many-body localization. Here we show that disorder can also generate a narrow band of…

Strongly Correlated Electrons · Physics 2025-09-18 Yule Ma , Qianqian Chen , Mingyang Li , Zlatko Papić , Zheng Zhu

In most quantum sensing schemes, interactions between the constituent particles of the sensor are expected to lead to thermalisation and degraded sensitivity. However, recent theoretical and experimental work has shown that the phenomenon…

Quantum Physics · Physics 2021-09-22 Shane Dooley

We introduce a disorder-free model of $S=1/2$ spins on the square lattice in a constrained Hilbert space where two up-spins are not allowed simultaneously on any two neighboring sites of the lattice. The interactions are given by…

Statistical Mechanics · Physics 2023-06-07 Anwesha Chattopadhyay , Bhaskar Mukherjee , K. Sengupta , Arnab Sen

Matrix-product state (MPS) skeletons are connected networks of Hamiltonians with exact MPS ground states that underlie a phase diagram. Such skeletons have previously been found in classes of free-fermion models. For the…

Quantum Physics · Physics 2025-11-11 Imogen Camp , Nick G. Jones

The theory of quantum scarring -- a remarkable violation of quantum unique ergodicity -- rests on two complementary pillars: the existence of unstable classical periodic orbits and the so-called quasimodes, i.e., the non-ergodic states that…

Quantum Physics · Physics 2021-05-03 Christopher J. Turner , Jean-Yves Desaules , Kieran Bull , Zlatko Papić

Scar states are special finite-energy density, but non-thermal states of chaotic Hamiltonians. We argue that all holographic quantum field theories, including $\mathcal{N}=4$ super Yang--Mills, have scar states. Their presence is tied to…

High Energy Physics - Theory · Physics 2024-06-19 Alexey Milekhin , Nikolay Sukhov

We present a systematic framework to construct model Hamiltonians that have unconventional superconducting pairing states as exact energy eigenstates, by incorporating multibody interactions (i.e., interactions among more than two…

Superconductivity · Physics 2025-01-22 Shohei Imai , Naoto Tsuji

A quantum eigenstate of a classically chaotic system is referred as scarred by an unstable periodic orbit if its probability density is concentrated in the vicinity of that orbit. Recently, a new class of scarring - variational scarring -…

Mesoscale and Nanoscale Physics · Physics 2025-07-17 J. Keski-Rahkonen , C. Zou , A. M. Graf , Q. Yao , T. Zhu , J. Velasco, , E. J. Heller

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…

Unlike classical system, understanding ergodicity from phase space mixing remains unclear for interacting quantum systems due to the absence of phase space trajectories. By considering an interacting spin model known as kicked coupled top,…

Statistical Mechanics · Physics 2021-09-01 Debabrata Mondal , Sudip Sinha , Subhasis Sinha

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

Although entanglement is a key resource for quantum-enhanced metrology, not all entanglement is useful. For example in the process of many-body thermalisation, bipartite entanglement grows rapidly, naturally saturating to a volume law. This…

Quantum Physics · Physics 2023-02-01 Shane Dooley , Silvia Pappalardi , John Goold

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

We numerically investigate the stability of exceptional periodic classical trajectories in rather generic chaotic many-body systems and explore a possible connection between these trajectories and exceptional nonthermal quantum eigenstates…

Quantum Physics · Physics 2026-01-14 Igor Ermakov , Oleg Lychkovskiy , Boris V. Fine