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We study a generalized isotropic XY-model which includes both two-spin and four-spin mean-field interactions. This model can be solved in the microcanonical ensemble. It is shown that in certain parameter regions the model exhibits gaps in…

Statistical Mechanics · Physics 2015-04-07 Freddy Bouchet , Thierry Dauxois , David Mukamel , Stefano Ruffo

Ergodicity in quantum many-body systems is - despite its fundamental importance - still an open problem. Many-body localization provides a general framework for quantum ergodicity, and may therefore offer important insights. However, the…

Disordered Systems and Neural Networks · Physics 2015-10-14 Philipp Hauke , Markus Heyl

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

Generic quantum many-body systems are expected to thermalize, scrambling initial coherence while local observables relax to equilibrium values. Weak ergodicity breaking, often associated with quantum many-body scarring of homogeneous…

Quantum Physics · Physics 2026-05-25 Aron Kerschbaumer , Jean-Yves Desaules , Maksym Serbyn

Thermalization and its breakdown in interacting quantum many-body systems are governed by mid-spectrum eigenstates, which are typically accessible only in small system sizes amenable to exact diagonalization. Here we demonstrate that the…

Strongly Correlated Electrons · Physics 2026-03-31 Andrew Hallam , Jared Jeyaretnam , Zlatko Papić

We study the dynamic phase diagram of a spin model associated with the Number Partitioning Problem, as a function of temperature and of the fraction $K/N$ of spins allowed to flip simultaneously. The case K=1 reproduces the activated…

Disordered Systems and Neural Networks · Physics 2009-11-10 I. Junier , E. Bertin

Spin glasses and many-body localization (MBL) are prime examples of ergodicity breaking, yet their physical origin is quite different: the former phase arises due to rugged classical energy landscape, while the latter is a…

Disordered Systems and Neural Networks · Physics 2021-01-14 Louk Rademaker , Dmitry A. Abanin

The phenomenon of many-body localization in disordered quantum many-body systems occurs when all transport is suppressed despite the fact that the excitations of the system interact. In this work we report on the numerical simulation of…

Disordered Systems and Neural Networks · Physics 2017-05-18 Vipin Kerala Varma , Alessio Lerose , Francesca Pietracaprina , John Goold , Antonello Scardicchio

We study the nature and mechanisms of broken ergodicity (BE) in specific random walk models corresponding to diffusion on random potential surfaces, in both one and high dimension. Using both rigorous results and nonrigorous methods, we…

adap-org · Physics 2008-02-03 D. L. Stein , C. M. Newman

Correlations between the parts of a many-body system, and its time dynamics, lie at the heart of sciences, and they can be classical as well as quantum. Quantum correlations are traditionally viewed as constituted out of classical…

Quantum Physics · Physics 2015-03-19 R. Prabhu , Aditi Sen De , Ujjwal Sen

We study a generic but simple non-integrable quantum {\em many-body} system of {\em locally} interacting particles, namely a kicked $t-V$ model of spinless fermions on 1-dim lattice (equivalent to a kicked Heisenberg XX-Z chain of 1/2…

Statistical Mechanics · Physics 2009-10-31 Tomaz Prosen

Following the recent observation of wave function revivals in large Rydberg atom quantum simulators, much effort has focused on understanding the emergence of many-body scars in non-integrable quantum systems. Here we explore the origin of…

Quantum Physics · Physics 2022-06-27 Jean-Yves Desaules , Kieran Bull , Aiden Daniel , Zlatko Papić

We investigate one-dimensional driven diffusive systems where particles may also be created and annihilated in the bulk with sufficiently small rate. In an open geometry, i.e., coupled to particle reservoirs at the two ends, these systems…

Statistical Mechanics · Physics 2007-05-23 A. Rákos , M. Paessens

Quantum many-body scarring (QMBS) has emerged as an intriguing paradigm of weak ergodicity breaking in nonintegrable quantum many-body models, particularly lattice gauge theories (LGTs) in $1+1$ spacetime dimensions. However, an open…

Quantum Gases · Physics 2024-03-29 Jesse Osborne , Ian P. McCulloch , Jad C. Halimeh

Quantum spin liquids are exotic phases of matter whose low-energy physics is described as the deconfined phase of an emergent gauge theory. With recent theory proposals and an experiment showing preliminary signs of $\mathbb{Z}_2$…

Quantum Gases · Physics 2025-04-14 Jeet Shah , Gautam Nambiar , Alexey V. Gorshkov , Victor Galitski

We show that weak measurements can induce a quantum phase transition of interacting many-body systems from an ergodic thermal phase with a large entropy to a nonergodic localized phase with a small entropy, but only if the measurement…

Statistical Mechanics · Physics 2019-09-04 Marcin Szyniszewski , Alessandro Romito , Henning Schomerus

The prospect of quantum simulating lattice gauge theories opens exciting possibilities for understanding fundamental forms of matter. Here, we show that trapped ions represent a promising platform in this context when simultaneously…

The Schwinger model describes quantum electrodynamics in 1+1-dimensions, it is a prototype for quantum chromodynamics, and its lattice version allows for a quantum link model description that can be simulated using modern quantum devices.…

We show that the thermodynamic limit of a many-body system can reveal entanglement properties that are hard to detect in finite-size systems -- similar to how phase transitions only sharply emerge in the thermodynamic limit. The resulting…

Quantum Physics · Physics 2025-04-09 Lauritz van Luijk , Alexander Stottmeister , Henrik Wilming

Motivated by ideas of fractionalization and intrinsic topological order in bosonic models with short-range interactions, we consider similar phenomena in formal lattice gauge theory models. Specifically, we show that a compact quantum…

Statistical Mechanics · Physics 2014-12-10 Scott D. Geraedts , Olexei I. Motrunich