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Time-reversal ($\mathcal{T}$-) symmetry is fundamental to many physical processes. Typically, $\mathcal{T}$-breaking for microscopic processes requires the presence of magnetic field. However, for 2D massless Dirac billiards,…

Quantum Physics · Physics 2017-05-10 Cheng-Zhen Wang , Liang Huang , Kai Chang

We construct many-body scar states in multi-flavour fermionic lattice models that possess strong magnetic or superconducting correlations of a given type specified by a unitary matrix $A$. One of the states maximizes the one-point…

Strongly Correlated Electrons · Physics 2026-05-15 Kiryl Pakrouski , Zimo Sun

Chaos plays a crucial role in numerous natural phenomena, but its quantum nature has remained large elusive. One intriguing quantum-chaotic phenomenon is the scarring of a single-particle wavefunction, where the quantum probability density…

Quantum Physics · Physics 2024-03-28 J. Keski-Rahkonen , A. M. Graf , E. J. Heller

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 develop an analytical approach for the description of quantum many-body scars in PXP models. We show that the scarred dynamics in the PXP model on a complete bipartite graph can be interpreted as a one-dimensional chiral scattering…

Quantum Physics · Physics 2022-03-14 Bennet Windt , Hannes Pichler

We show that Hubbard models with nearest-neighbor hopping and a nearest-neighbor hardcore constraint exhibit `maximal' Hilbert space fragmentation in many lattices of arbitrary dimension $d$. Focusing on the $d=1$ rhombus chain and the…

Statistical Mechanics · Physics 2023-04-07 Yves H. Kwan , Patrick H. Wilhelm , Sounak Biswas , S. A. Parameswaran

We present a general symmetry-based framework for obtaining many-body Hamiltonians with scarred eigenstates that do not obey the eigenstate thermalization hypothesis. Our models are derived from parent Hamiltonians with a non-Abelian (or…

Statistical Mechanics · Physics 2020-12-22 Nicholas O'Dea , Fiona Burnell , Anushya Chandran , Vedika Khemani

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

Quantum scars are special eigenstates of many-body systems that evade thermalization. They were first discovered in the PXP model, a well-known effective description of Rydberg atom arrays. Despite significant theoretical efforts, the…

Statistical Mechanics · Physics 2025-02-26 Giuliano Giudici , Federica Maria Surace , Hannes Pichler

Quantum many-body scars (QMBS) are exceptional energy eigenstates of quantum many-body systems associated with violations of thermalization for special non-equilibrium initial states. Their various systematic constructions require…

Strongly Correlated Electrons · Physics 2025-02-20 Alessio Lerose , Tommaso Parolini , Rosario Fazio , Dmitry A. Abanin , Silvia Pappalardi

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

Understanding quantum many-body states of correlated electrons is one main theme in modern condensed matter physics. Given that the Fermi-Hubbard model, the prototype of correlated electrons, has been recently realized in ultracold optical…

Strongly Correlated Electrons · Physics 2021-01-27 Bin-Bin Chen , Chuang Chen , Ziyu Chen , Jian Cui , Yueyang Zhai , Andreas Weichselbaum , Jan von Delft , Zi Yang Meng , Wei Li

The entanglement entropy encodes fundamental characteristics of quantum many-body systems, and is particularly subtle in non-Hermitian settings where eigenstates generically become non-orthogonal. In this work, we find that negative…

Quantum Physics · Physics 2025-11-17 Wen-Tan Xue , Ching Hua Lee

The search for non-ergodic mechanisms in quantum many-body systems has become a frontier area of research in non-equilibrium physics. In this Letter, we introduce Hilbert subspace imprint (HSI)-a novel mechanism that enables evasion of…

Quantum Physics · Physics 2025-06-16 Hui Yu , Jiangping Hu , Shi-Xin Zhang

Semiclassical methods form a bridge between classical systems and their quantum counterparts. An interesting phenomenon discovered in this connection is the scar effect, whereby energy eigenstates display enhancement structures resembling…

Quantum Physics · Physics 2015-06-26 R. Vilela Mendes

We show how a finite number of conservation laws can globally `shatter' Hilbert space into exponentially many dynamically disconnected subsectors, leading to an unexpected dynamics with features reminiscent of both many body localization…

Statistical Mechanics · Physics 2020-05-19 Vedika Khemani , Michael Hermele , Rahul M. Nandkishore

This paper is a physicist's review of the major conceptual issues concerning the problem of spectral universality in quantum systems. Here we present a unified, graph-based view of all archetypical models of such universality (billiards,…

Quantum Physics · Physics 2018-02-19 Wen Wei Ho , Djordje Radicevic

We study the paradigmatic spin-1 XY chain under open boundary conditions, which hosts exact quantum many-body scars generated by an emergent Spectrum Generating Algebra (SGA). We show that the scar subspace possesses a symmetry-protected…

Strongly Correlated Electrons · Physics 2026-02-27 Ayush Sharma , Vikram Tripathi

We investigate the onset and mechanism of Hilbert space fragmentation (HSF) in a chain of strongly interacting Rydberg atoms subject to local dephasing. It is found that the emergence of multiple long-lived metastable states is…

Quantum Physics · Physics 2025-12-01 Tianyi Yan , Chun Hei Leung , Weibin Li

Quantum many-body scars, long-lived excited states of correlated quantum chaotic systems that evade thermalization, are of great fundamental and technological interest. We create novel scar states in a bosonic 1D quantum gas of dysprosium…

Quantum Gases · Physics 2021-04-28 Wil Kao , Kuan-Yu Li , Kuan-Yu Lin , Sarang Gopalakrishnan , Benjamin L. Lev
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