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The generation of entanglement produced by a local potential interaction in a bipartite system is investigated. The degree of entanglement is contrasted with the underlying classical dynamics for a Rydberg molecule (a charged particle…

Quantum Physics · Physics 2007-05-23 M. Lombardi , A. Matzkin

We present a set of generalized quantum loop models which provably exhibit topologically stable ergodicity breaking. These results hold for both periodic and open boundary conditions, and derive from a one-form symmetry (notably not being…

Statistical Mechanics · Physics 2024-03-12 Charles Stahl , Rahul Nandkishore , Oliver Hart

As one of the most prominent platforms for analog quantum simulators, Rydberg atom arrays are a promising tool for exploring quantum phases and transitions. While the ground state properties of one-dimensional Rydberg systems are already…

Quantum Physics · Physics 2024-10-02 Nora Reinić , Daniel Jaschke , Darvin Wanisch , Pietro Silvi , Simone Montangero

One-dimensional fracton systems can exhibit perfect localization, failing to reach thermal equilibrium under arbitrary local unitary time evolution. We investigate how this nonergodic behavior manifests in the dynamics of a driven fracton…

Statistical Mechanics · Physics 2019-09-25 Shriya Pai , Michael Pretko

Progress in the creation of large scale, artificial quantum coherent structures demands the investigation of their nonequilibrium dynamics when strong interactions, even between remote parts, are non-perturbative. Analysis of multiparticle…

Towers of quantum many-body scars are sets of highly-excited eigenstates of nonintegrable Hamiltonians whose dynamics shows athermal behavior and persistent oscillations in time. The preparation of such states is, however, challenging due…

Statistical Mechanics · Physics 2026-03-16 Lorenzo Gotta , Manas Kulkarni , Gabriele Perfetto

Spontaneous symmetry breaking has revolutionized the understanding in numerous fields of modern physics. Here, we theoretically demonstrate the spontaneous time-reversal symmetry breaking in a cavity quantum electrodynamics system in which…

Quantum Physics · Physics 2018-08-01 Yu-Kun Lu , Pai Peng , Qi-Tao Cao , Da Xu , Jan Wiersig , Qihuang Gong , Yun-Feng Xiao

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

The generic behavior of quantum systems has long been of theoretical and practical interest. Any quantum process is represented by a sequence of quantum channels. We consider general ergodic sequences of stochastic channels with arbitrary…

Quantum Physics · Physics 2022-07-08 Ramis Movassagh , Jeffrey Schenker

Chaotic Hamiltonians are known to follow Random Matrix Theory (RMT) ensembles in the apparent randomness of their spectra and wavefunction statistics. Deviations form RMT also do occur, however, due to system-specific properties, or as…

Chaotic Dynamics · Physics 2019-05-23 Domenico Lippolis

We report on the ground state phase diagram of interacting Rydberg atoms in the unfrustrated square lattice array. Using new tensor network algorithms, we scale to large systems in two dimensions while including all long-range interactions,…

Strongly Correlated Electrons · Physics 2023-12-01 Matthew J. O'Rourke , Garnet Kin-Lic Chan

We generalize Page's result on the entanglement entropy of random pure states to the many-body eigenstates of realistic disordered many-body systems subject to long range interactions. This extension leads to two principal conclusions:…

Disordered Systems and Neural Networks · Physics 2021-07-21 Felipe Monteiro , Masaki Tezuka , Alexander Altland , David A. Huse , Tobias Micklitz

We demonstrate how the initial state of ultracold atoms in an optical lattice controls the emergence of ergodic dynamics as the underlying spectral structure is tuned into the quantum chaotic regime. Distinct initial states' chaos threshold…

Quantum Physics · Physics 2025-05-09 Lukas Pausch , Edoardo G. Carnio , Andreas Buchleitner , Alberto Rodríguez

We compare the entire classical and quantum evolutions of the Dicke model in its regular and chaotic domains. This is a paradigmatic interacting spin-boson model of great experimental interest. By studying the classical and quantum survival…

Other Condensed Matter · Physics 2021-03-16 D Villasenor , S Pilatowsky-Cameo , M A Bastarrachea-Magnani , S Lerma-Hernandez , L F Santos , J G Hirsch

When a generic quantum system is prepared in a simple initial condition, it typically equilibrates toward a state that can be described by a thermal ensemble. A known exception are localized systems which are non-ergodic and do not…

Quantum Physics · Physics 2023-11-17 Henrik Wilming , Tobias J. Osborne , Kevin S. C. Decker , Christoph Karrasch

Weak ergodicity breaking, particularly through quantum many-body scars (QMBS), has become a significant focus in many-body physics. Krylov state complexity quantifies the spread of quantum states within the Krylov basis and serves as a…

Strongly Correlated Electrons · Physics 2025-04-08 Qingmin Hu , Wen-Yi Zhang , Yunguang Han , Wen-Long You

We study ergodicity breaking in the clean Bose-Hubbard chain for small hopping strength. We see the existence of a non-ergodic regime by means of indicators as the half-chain entanglement entropy of the eigenstates, the average level…

Quantum Gases · Physics 2021-03-04 Angelo Russomanno , Michele Fava , Rosario Fazio

Cellular automata are interacting classical bits that display diverse emergent behaviors, from fractals to random-number generators to Turing-complete computation. We discover that quantum cellular automata (QCA) can exhibit complexity in…

We study the statistical properties of a single two-level system (qubit) subject to repetitive ancilla-based measurements. This setup is a fundamental minimal model for exploring the intricate interplay between the unitary dynamics of the…

Quantum Physics · Physics 2024-03-26 Paul Pöpperl , Igor V. Gornyi , David B. Saakian , Oleg M. Yevtushenko

We compute the dynamics of entanglement in the minimal setup producing ergodic and mixing quantum many-body dynamics, which we previously dubbed {\em boundary chaos}. This consists of a free, non-interacting brickwork quantum circuit, in…

Statistical Mechanics · Physics 2023-09-13 Felix Fritzsch , Roopayan Ghosh , Tomaž Prosen
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