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We consider a 2D quantum spin model with ring-exchange interaction that has subsystem symmetries associated to conserved magnetization along rows and columns of a square lattice, which implies the conservation of the global dipole moment.…

Strongly Correlated Electrons · Physics 2022-10-19 Alexey Khudorozhkov , Apoorv Tiwari , Claudio Chamon , Titus Neupert

We study one-dimensional spin-1/2 models in which strict confinement of Ising domain walls leads to the fragmentation of Hilbert space into exponentially many disconnected subspaces. Whereas most previous works emphasize dipole moment…

Strongly Correlated Electrons · Physics 2020-05-26 Zhi-Cheng Yang , Fangli Liu , Alexey V. Gorshkov , Thomas Iadecola

We investigate the quantum dynamics of the 1D spinless Fermi-Hubbard model with a linear-tilted potential. Surprisingly in a strong resonance regime, we show that the model can be described by the kinetically constrained effective…

Strongly Correlated Electrons · Physics 2024-03-01 Wei-Jie Huang , Yu-Biao Wu , Guang-Can Guo , Wu-Ming Liu , Xu-Bo Zou

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

Quantum kinetically constrained models have recently attracted significant attention due to their anomalous dynamics and thermalization. In this work, we introduce a hitherto unexplored family of kinetically constrained models featuring a…

Quantum Physics · Physics 2023-09-20 Pietro Brighi , Marko Ljubotina , Maksym Serbyn

The eigenstate thermalization hypothesis describes how isolated many-body quantum systems reach thermal equilibrium. However, quantum many-body scars and Hilbert space fragmentation violate this hypothesis and cause nonthermal behavior. We…

Strongly Correlated Electrons · Physics 2024-08-06 Pieter H. Harkema , Michael Iversen , Anne E. B. Nielsen

We revisit the so-called folded XXZ model, which was treated earlier by two independent research groups. We argue that this spin-1/2 chain is one of the simplest quantum integrable models, yet it has quite remarkable physical properties.…

Statistical Mechanics · Physics 2021-10-13 Balázs Pozsgay , Tamás Gombor , Arthur Hutsalyuk , Yunfeng Jiang , Levente Pristyák , Eric Vernier

Motivated by previous works on a Floquet version of the PXP model [Mukherjee {\it et al.} Phys. Rev. B 102, 075123 (2020), Mukherjee {\it et al.} Phys. Rev. B 101, 245107 (2020)], we study a one-dimensional spin-$1/2$ lattice model with…

Strongly Correlated Electrons · Physics 2021-10-12 Bhaskar Mukherjee , Debasish Banerjee , K. Sengupta , Arnab Sen

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

We show how local constraints can globally "shatter" Hilbert space into subsectors, leading to an unexpected dynamics with features reminiscent of both many body localization and quantum scars. A crisp example of this phenomenon is provided…

Statistical Mechanics · Physics 2020-05-20 Vedika Khemani , Rahul Nandkishore

Lattice gauge theories, discretized cousins of continuum gauge theories arising in the Standard Model, have become important platforms for exploring non-equilibrium quantum phenomena. Recent works have reported the possibility of…

Quantum Physics · Physics 2025-04-24 Jared Jeyaretnam , Tanmay Bhore , Jesse J. Osborne , Jad C. Halimeh , Zlatko Papić

We discuss quantum dynamics in the transverse field Ising model in two spatial dimensions. We show that, up to a prethermal timescale, which we quantify, the Hilbert space 'shatters' into dynamically disconnected subsectors. We identify…

Statistical Mechanics · Physics 2022-12-23 Oliver Hart , Rahul Nandkishore

We study the role of the interaction range on the Hilbert space fragmentation and many-body scar states considering a spin-1/2 many-body Hamiltonian describing a generalized Fredkin spin chain. We show that both scar states and weak…

Strongly Correlated Electrons · Physics 2023-07-21 Gianluca Francica , Luca Dell'Anna

We explore the ground-state physics of two-dimensional spin-$1/2$ $U(1)$ quantum link models, one of the simplest non-trivial lattice gauge theories with fermionic matter within experimental reach for quantum simulations. Whereas in the…

Quantum Gases · Physics 2020-04-01 Lorenzo Cardarelli , Sebastian Greschner , Luis Santos

We introduce a one-dimensional (1D) extended quantum breakdown model comprising a fermionic and a spin degree of freedom per site, and featuring a spatially asymmetric breakdown-type interaction between the fermions and spins. We…

Strongly Correlated Electrons · Physics 2024-10-17 Bo-Ting Chen , Abhinav Prem , Nicolas Regnault , Biao Lian

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

We consider a model arising in facilitated Rydberg chains with positional disorder which features a Hilbert space with the topology of a $d$-dimensional hypercube. This allows for a straightforward interpretation of the many-body dynamics…

Statistical Mechanics · Physics 2021-06-09 Bart van Voorden , Matteo Marcuzzi , Kareljan Schoutens , Jiří Minář

At the heart of quantum many-body physics lies the understanding of mechanisms that avoid quantum thermalization in an isolated system quenched far from equilibrium. A prominent example is Hilbert space fragmentation, which has recently…

Quantum Physics · Physics 2025-10-22 Anthony N. Ciavarella , Christian W. Bauer , Jad C. Halimeh

We introduce a large class of models exhibiting robust ergodicity breaking in quantum dynamics. Our work is inspired by recent discussions of "topologically robust Hilbert space fragmentation," but massively generalizes in two directions:…

Statistical Mechanics · Physics 2025-04-25 Alexey Khudorozhkov , Charles Stahl , Oliver Hart , Rahul Nandkishore

Recent investigations of the magnetic properties and the discovery of superconductivity in quasi-one-dimensional triangular lattice organic charge-transfer solids have indicated the severe limitations of the effective 1/2-filled band…

Strongly Correlated Electrons · Physics 2019-10-01 R. T. Clay , N. Gomes , S. Mazumdar
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