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Weak ergodicity breaking in interacting quantum systems may occur due to the existence of a subspace dynamically decoupled from the rest of the Hilbert space. In two-orbital spinful lattice systems, we construct such subspaces that are in…

Strongly Correlated Electrons · Physics 2026-03-04 Kiryl Pakrouski , K. V. Samokhin

We construct a class of exact eigenstates of the Hamiltonian obtained by projecting the Hubbard interaction term onto the flat band subspace of a generic lattice model. These exact eigenstates are many body states in which an arbitrary…

Superconductivity · Physics 2023-12-25 Koushik Swaminathan , Poula Tadros , Sebastiano Peotta

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

Teleportation of quantum information over long distances requires robust entanglement on the macroscopic scale. The construction of highly energetic eigenstates with tunable long-range entanglement can provide a new medium for information…

Strongly Correlated Electrons · Physics 2026-04-23 Bhaskar Mukherjee , Christopher J. Turner , Marcin Szyniszewski , Arijeet Pal

It has been shown [arXiv:2007.00845] that three families of highly symmetric states are many-body scars for any spin-1/2 fermionic Hamiltonian of the form $H_0+OT$, where $T$ is a generator of an appropriate Lie group. One of these families…

Strongly Correlated Electrons · Physics 2021-12-09 Kiryl Pakrouski , Preethi N. Pallegar , Fedor K. Popov , Igor R. Klebanov

Quantum many-body scars are non-thermal eigenstates embedded in the spectra of otherwise non-integrable Hamiltonians. Paradigmatic examples often appear as quasiparticle towers of states, such as the maximally ferromagnetic spin-1/2 states,…

Quantum Physics · Physics 2026-01-21 Nicholas O'Dea , Lei Gioia , Sanjay Moudgalya , Olexei I. Motrunich

Certain wave functions of non-interacting quantum chaotic systems can exhibit "scars" in the fabric of their real-space density profile. Quantum scarred wave functions concentrate in the vicinity of unstable periodic classical trajectories.…

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

In this article, we elucidate the structure and properties of a class of anomalous high-energy states of matter-free $U(1)$ quantum link gauge theory Hamiltonians using numerical and analytical methods. Such anomalous states, known as…

High Energy Physics - Lattice · Physics 2024-02-29 Indrajit Sau , Paolo Stornati , Debasish Banerjee , Arnab Sen

Describing and achieving `unconventional' superconductivity remains a forefront challenge in quantum many-body physics. Here we use a unitary mapping, combined with the well-established properties of the attractive Hubbard model to…

Superconductivity · Physics 2024-04-18 Xingchuan Zhu , Junsong Sun , Shou-Shu Gong , Wen Huang , Shiping Feng , Richard T. Scalettar , Huaiming Guo

Quantum many-body scars (QMBSs) are a novel paradigm for the violation of the eigenstate thermalization hypothesis -- Hamiltonians of these systems exhibit mid-spectrum eigenstates that are equidistant in energy and which possess low…

Statistical Mechanics · Physics 2023-02-14 Pierre-Gabriel Rozon , Kartiek Agarwal

We present a computational framework to identify Hamiltonians of interacting quantum many-body systems that host non-ergodic excited states. We combine quantum Monte Carlo simulations with the recently proposed eigenstate-to-Hamiltonian…

We construct a set of exact, highly excited eigenstates for a nonintegrable spin-1/2 model in one dimension that is relevant to experiments on Rydberg atoms in the antiblockade regime. These states provide a new solvable example of quantum…

Strongly Correlated Electrons · Physics 2020-01-30 Thomas Iadecola , Michael Schecter

We introduce a class of spinless fermion models that exhibit quantum many-body scars (QMBS) originating from kinetic constraints in the form of density-assisted hopping. The models can be defined on any lattice in any dimension and allow…

Quantum Physics · Physics 2022-10-13 Kensuke Tamura , Hosho Katsura

Quantum many-body scars (QMBS) appear in a flat-band model with interactions on the saw-tooth lattice. The flat-band model includes a compact support localized eigenstates, called compact localized state (CLS). Some characteristic many-body…

Statistical Mechanics · Physics 2021-08-25 Yoshihito Kuno , Tomonari Mizoguchi , Yasuhiro Hatsugai

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

An interacting lattice model describing the subspace spanned by a set of strongly-correlated bands is rigorously coupled to density functional theory to enable ab initio calculations of geometric and topological material properties. The…

Strongly Correlated Electrons · Physics 2019-03-26 Ryan Requist , E. K. U. Gross

We construct a family of three-body spin-1/2 Hamiltonians with a super-extensive set of infinitely long-lived multi-magnon states. A magnon in each such state carries either quasi-momentum zero or fixed $p_0\neq$ 0, and energy $\Omega$ .…

Strongly Correlated Electrons · Physics 2023-03-08 Long-Hin Tang , Nicholas O'Dea , Anushya Chandran

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

Motivated by recent experimental observations of coherent many-body revivals in a constrained Rydberg atom chain, we construct a weak quasi-local deformation of the Rydberg blockade Hamiltonian, which makes the revivals virtually perfect.…

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