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Given that any subsystem of a closed out-of-equilibrium quantum system is an open quantum system, its dynamics (reduced from the full system's unitary evolution) can be either Markovian (memory-less) or non-Markovian, with the latter…

Quantum Physics · Physics 2026-05-01 Aditya Banerjee

A quantum many-body scar system usually contains a special non-thermal subspace (approximately) decoupled from the rest of the Hilbert space. In this work, we propose a general structure called deformed symmetric spaces for the decoupled…

Strongly Correlated Electrons · Physics 2022-03-01 Jie Ren , Chenguang Liang , Chen Fang

As a paradigm of weak ergodicity breaking in disorder-free nonintegrable models, quantum many-body scars (QMBS) can offer deep insights into the thermalization dynamics of gauge theories. Having been first discovered in a spin-$1/2$ quantum…

Strongly Correlated Electrons · Physics 2023-05-08 Jean-Yves Desaules , Debasish Banerjee , Ana Hudomal , Zlatko Papić , Arnab Sen , Jad C. Halimeh

We demonstrate that the kinematically-constrained model of Rydberg atoms on a two-leg ladder with staggered detuning, $\Delta \in [0,1]$, has quantum many-body scars (QMBS) in its spectrum and represents a non-perturbative generalization of…

Quantum Physics · Physics 2025-04-04 Mainak Pal , Madhumita Sarkar , K. Sengupta , Arnab Sen

Quantum dynamics in certain kinetically-constrained systems can display a strong sensitivity to the initial condition, wherein some initial states give rise to persistent quantum revivals -- a type of weak ergodicity breaking known as…

We present a systematic framework to construct model Hamiltonians that have unconventional superconducting pairing states as exact energy eigenstates, by incorporating multibody interactions (i.e., interactions among more than two…

Superconductivity · Physics 2025-01-22 Shohei Imai , Naoto Tsuji

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…

The eigenstate thermalization hypothesis describes how most isolated many-body quantum systems reach thermal equilibrium. However, the hypothesis is violated by phenomena such as many-body localization and quantum many-body scars. In this…

Disordered Systems and Neural Networks · Physics 2024-02-09 Michael Iversen , Jens H. Bardarson , Anne E. B. Nielsen

The entanglement spectrum of the reduced density matrix contains information beyond the von Neumann entropy and provides unique insights into exotic orders or critical behavior of quantum systems. Here, we show that strongly disordered…

Disordered Systems and Neural Networks · Physics 2016-10-14 Maksym Serbyn , Alexios A. Michailidis , Dmitry A. Abanin , Z. Papić

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

In this work, we undertake the problem of formally introducing a notion of quantum many-body scarring in open quantum systems governed by the Lindblad equation. To this goal, we rely on the commutant-algebra framework for the description of…

Quantum Physics · Physics 2025-09-23 Lorenzo Gotta

We simulate the dynamics of Rydberg atoms resonantly exchanging energy via two-, three-, and four-body dipole-dipole interactions in a one-dimensional array. Using simplified models of a realistic experimental system, we study the initial…

Quantum Physics · Physics 2025-04-07 Sarah E. Spielman , Alicia Handian , Nina P. Inman , Thomas J. Carroll , Michael W. Noel

We present a mathematical theory of metastable pure states in closed many-body quantum systems with finite-dimensional Hilbert space. Given a Hamiltonian, a pure state is defined to be metastable when all sufficiently local operators either…

Mathematical Physics · Physics 2025-03-21 Chao Yin , Federica M. Surace , Andrew Lucas

We develop an analytical approach for the description of quantum many-body scars in PXP models. We show that the scarred dynamics in the PXP model on a complete bipartite graph can be interpreted as a one-dimensional chiral scattering…

Quantum Physics · Physics 2022-03-14 Bennet Windt , Hannes Pichler

We introduce an experimentally accessible network representation for many-body quantum states based on entanglement between all pairs of its constituents. We illustrate the power of this representation by applying it to a paradigmatic spin…

Quantum Physics · Physics 2022-06-30 Boris Sokolov , Matteo A. C. Rossi , Guillermo García-Pérez , Sabrina Maniscalco

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 study the stability of the many-body scars in spin-1/2 fermionic systems under the most typical perturbations in relevant materials. We find that some families of scars are completely insensitive to certain perturbations. In some other…

Strongly Correlated Electrons · Physics 2024-01-10 Patrice Kolb , Kiryl Pakrouski

Quantum many-body scarring (QMBS) is an intriguing mechanism of weak ergodicity breaking that has recently spurred significant attention. Particularly prominent in Abelian lattice gauge theories (LGTs), an open question is whether QMBS…

Quantum scars are special eigenstates of many-body systems that evade thermalization. They were first discovered in the PXP model, a well-known effective description of Rydberg atom arrays. Despite significant theoretical efforts, the…

Statistical Mechanics · Physics 2025-02-26 Giuliano Giudici , Federica Maria Surace , Hannes Pichler

The validity of the ergodic hypothesis in quantum systems can be rephrased in the form of the eigenstate thermalisation hypothesis (ETH), a set of statistical properties for the matrix elements of local observables in energy eigenstates,…

Statistical Mechanics · Physics 2024-10-16 Miha Srdinšek , Tomaž Prosen , Spyros Sotiriadis