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We propose a general mechanism for realizing athermal finite-energy-density eigenstates -- termed interference-caged quantum many-body scars (ICQMBS) -- which originate from exact many-body destructive interference on the Fock space graph.…

Strongly Correlated Electrons · Physics 2025-04-11 Tao-Lin Tan , Yi-Ping Huang

The quantum simulation of gauge theories on synthetic quantum matter devices has gained a lot of traction in the last decade, making possible the observation of a range of exotic quantum many-body phenomena. In this work, we consider the…

Quantum many-body scars are atypical nonthermal states embedded in the chaotic spectrum that evade conventional ergodicity. We show that asymptotically AdS mini-boson stars provide a holographic realization of scar-like states. Their…

High Energy Physics - Theory · Physics 2026-05-05 Yan Liu , Ya-Wen Sun , Yuan-Tai Wang

We discuss a construction of quantum many-body scars in the context of holography. We consider two-dimensional conformal field theories and use their dynamical symmetries, naturally realized through the Virasoro algebra, to construct…

High Energy Physics - Theory · Physics 2023-11-15 Diego Liska , Vladimir Gritsev , Ward Vleeshouwers , Jiří Minář

Lessons from Anderson localization highlight the importance of dimensionality of real space for localization due to disorder. More recently, studies of many-body localization have focussed on the phenomenon in one dimension using techniques…

Disordered Systems and Neural Networks · Physics 2020-02-11 Thorsten B. Wahl , Arijeet Pal , Steven H. Simon

We introduce the concept of ergodicity and explore its deviation caused by quantum scars in an isolated quantum system, employing a pedagogical approach based on a toy model. Quantum scars, originally identified as traces of classically…

Statistical Mechanics · Physics 2025-04-02 Sudip Sinha , S. Sinha

Quantum many-body scars are rare exceptions to thermalization: they sustain non-thermal stationary states without the protection of any local conservation law, and are generally expected to be fragile. Here we construct an analytically…

Quantum Physics · Physics 2026-04-21 Luca Capizzi , Benoît Ferté

It is demonstrated that quasi-exactly solvable models of quantum mechanics admit an interesting duality transformation which changes the form of their potentials and inverts the sign of all the exactly calculable energy levels. This…

High Energy Physics - Theory · Physics 2007-05-23 A. Krajewska , A. Ushveridze , Z. Walczak

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

We show that a quantum scar state, an atypical eigenstate breaking eigenstate thermalization hypothesis embedded in a many-body energy spectrum, can be constructed in flat band systems. The key idea of our construction is to make use of…

Quantum Gases · Physics 2021-01-04 Yoshihito Kuno , Tomonari Mizoguchi , Yasuhiro Hatsugai

Experiments performed on strongly interacting Rydberg atoms have revealed surprising persistent oscillations of local observables. These oscillations have been attributed to a special set of non-ergodic states, referred to as quantum…

Quantum Gases · Physics 2021-09-29 Ian Mondragon-Shem , Maxim G. Vavilov , Ivar Martin

Adiabatic time evolution of quantum systems is a widely used tool with applications ranging from state preparation through simplifications of computations and topological transformations to optimization and quantum computing. Adiabatic time…

Quantum Physics · Physics 2024-06-27 Hadi Yarloo , Hua-Chen Zhang , Anne E. B. Nielsen

Quantum scars are nonthermal eigenstates that prevent thermalization of initial states with weight on the scars. When the scar states are equally spaced in energy, superpositions of scars show oscillating local observables that can be…

Statistical Mechanics · Physics 2024-10-16 Nicholas O'Dea , Adithya Sriram

Characterizing states of matter through the lens of their ergodic properties is a fascinating new direction of research. In the quantum realm, the many-body localization (MBL) was proposed to be the paradigmatic ergodicity breaking…

Strongly Correlated Electrons · Physics 2021-01-01 J. Šuntajs , J. Bonča , T. Prosen , L. Vidmar

It is of great current interest to establish toy models of ergodicity breaking transitions in quantum many-body systems. Here we study a model that is expected to exhibit an ergodic to nonergodic transition in the thermodynamic limit upon…

Statistical Mechanics · Physics 2022-08-09 Jan Šuntajs , Lev Vidmar

Quantum scars have recently been directly visualized in graphene quantum dots (Nature 635, 841 (2024)), revealing their resilience and influence on electron dynamics in mesoscopic systems. Here, we examine variational scarring in…

Mesoscale and Nanoscale Physics · Physics 2025-09-19 Fartash Chalangari , Joonas Keski-Rahkonen , Simo Selinummi , Esa Räsänen

Presently, noisy intermediate-scale quantum computers encounter significant technological challenges that make it impossible to generate large amounts of entanglement. We leverage this technological constraint as a resource and demonstrate…

Quantum many-body systems can exhibit distinct regimes where dynamics is either ergodic, dynamically exploring an extensive region of available state-space, or non-ergodic, where the dynamics may be restricted. An example is the many-body…

Quantum Physics · Physics 2026-03-12 Venelin P. Pavlov , Peter A. Ivanov , Diego Porras , Charlie Nation

We study the spectral properties of $D$-dimensional $N=2$ supersymmetric lattice models. We find systematic departures from the eigenstate thermalization hypothesis (ETH) in the form of a degenerate set of ETH-violating supersymmetric…

Statistical Mechanics · Physics 2020-10-13 Federica Maria Surace , Giuliano Giudici , Marcello Dalmonte

We discuss in details a simple, purely bosonic, quantum field theory belonging to larger class of models with the following properties: a) They are asymptotically free, with a dynamically generated mass scale. b) They have a space of…

High Energy Physics - Theory · Physics 2010-02-03 Frank Ferrari