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We extend basic properties of two dimensional integrable models within the Algebraic Bethe Ansatz approach to 2+1 dimensions and formulate the sufficient conditions for the commutativity of transfer matrices of different spectral…

Mathematical Physics · Physics 2015-02-16 Sh. Khachatryan , A. Ferraz , A. Kluemper , A. Sedrakyan

We study a chaotic particle-conserving kinetically constrained model, with a single parameter which allows us to break reflection symmetry. Through extensive numerical simulations we find that the domain wall state shows a variety of…

Quantum Physics · Physics 2026-02-03 Pietro Brighi , Marko Ljubotina

Spontaneous symmetry-breaking in phase transitions occurs when the system Hamiltonian is symmetric under a certain transformation, but the equilibrium states observed in nature are not. Here, we prove that when a discrete symmetry is…

Quantum Physics · Physics 2024-12-13 Ángel L. Corps , Armando Relaño

Recent work shows that highly excited many-body localized eigenstates can exhibit broken symmetries and topological order, including in dimensions where such order would be forbidden in equilibrium. In this paper we extend this analysis to…

Strongly Correlated Electrons · Physics 2014-04-15 Anushya Chandran , Vedika Khemani , C. R. Laumann , S. L. Sondhi

The Davey-Stewartson 1(DS1) system[9] is an integrable model in two dimensions. A quantum DS1 system with 2 colour-components in two dimensions has been formulated. This two-dimensional problem has been reduced to two one-dimensional…

High Energy Physics - Theory · Physics 2007-05-23 Mu-Lin Yan

We investigate the emergence of stable subspaces in the low-temperature quantum thermal dynamics of finite spin chains. Our analysis reveals the existence of effective decoherence-free qudit subspaces, persisting for timescales exponential…

Quantum Physics · Physics 2025-08-06 Michael J. Kastoryano , Lasse B. Kristensen , Chi-Fang Chen , András Gilyén

We introduce a class of intrinsic symmetry-protected topological mixed-state(mSPT) in open quantum systems that feature modulated symmetries, such as dipole and subsystem symmetries. Intriguingly, these mSPT phases cannot be realized as the…

Quantum Physics · Physics 2024-07-15 Yizhi You , Masaki Oshikawa

In this paper, we investigate a family of one-dimensional multi-component quantum many-body systems. The interaction is an exchange interaction based on the familiar family of integrable systems which includes the inverse square potential.…

Condensed Matter · Physics 2009-10-22 Bill Sutherland , B. Sriram Shastry

Several studies have exploited the integrable structure of central spin models to deepen understanding of these fundamental systems. In recent years, an underlying supersymmetry for systems with XX interactions has been uncovered. Here we…

Exactly Solvable and Integrable Systems · Physics 2023-04-03 W J P van Tonder , J Links

The many-body structure of high-lying excited states, including macroscopic quantum superpositions, of the gaseous double-well BEC is presented within the context of a multiconfigurational bosonic self-consistent field theory based upon…

Other Condensed Matter · Physics 2007-05-23 David J. Masiello , William P. Reinhardt

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 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

We consider quantum quenches in the integrable $SU(3)$-invariant spin chain (Lai-Sutherland model) which admits a Bethe ansatz description in terms of two different quasiparticle species, providing a prototypical example of a model solvable…

Statistical Mechanics · Physics 2019-06-20 Lorenzo Piroli , Eric Vernier , Pasquale Calabrese , Balázs Pozsgay

We study the non-equilibrium evolution of coexisting ferromagnetic domains in the two-dimensional quantum Ising model -- a setup relevant in several contexts, from quantum nucleation dynamics and false-vacuum decay scenarios to recent…

Statistical Mechanics · Physics 2022-09-22 Federico Balducci , Andrea Gambassi , Alessio Lerose , Antonello Scardicchio , Carlo Vanoni

Quantum many-body scars (QMBS) represent a mechanism for weak ergodicity breaking, characterized by the coexistence of atypical non-thermal eigenstates within an otherwise thermalizing many-body spectrum. In this work, we revisit the…

Strongly Correlated Electrons · Physics 2026-02-25 Sashikanta Mohapatra , Sanjay Moudgalya , Ajit C. Balram

Spin models featuring infinite-range, homogeneous all-to-all interactions can be efficiently described due to the existence of a symmetry-restricted Hilbert subspace and an underlying classical phase space structure. However, when the…

Quantum Physics · Physics 2025-05-15 Ivy Pannier-Günther , Andrew Kolmer Forbes , Pablo M. Poggi , Ivan H. Deutsch

We show that the stochastic dynamics of a large class of one-dimensional interacting particle systems may be presented by integrable quantum spin Hamiltonians. Generalizing earlier work \cite{Stin95a,Stin95b} we present an alternative…

Statistical Mechanics · Physics 2009-10-31 Gunter M. Schütz

A recent experiment in the Rydberg atom chain observed unusual oscillatory quench dynamics with a charge density wave initial state, and theoretical works identified a set of many-body "scar states" showing nonthermal behavior in the…

Quantum Gases · Physics 2019-05-07 Cheng-Ju Lin , Olexei I. Motrunich

We explore the principles of many-body Hamiltonian complexity reduction via downfolding on an effective low-dimensional representation. We present a unique measure of fidelity between the effective (reduced-rank) description and the full…

Computational Physics · Physics 2024-11-26 Annabelle Canestraight , Zhen Huang , Vojtech Vlcek

Entanglement related properties work as nice fingerprint of the quantum many-body wave function. However, those of fermionic models are hard to evaluate in standard numerical methods because they suffer from finite size effects. We show…

Strongly Correlated Electrons · Physics 2020-11-04 Xavier Plat , Chisa Hotta