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A generic closed quantum many-body system will inevitably tend to thermalization, whose local information encoded in the initial state eventually scrambles into the full space, known as quantum ergodicity. A paradigmatic exception in closed…

Disordered Systems and Neural Networks · Physics 2025-01-17 Xiang-Ping Jiang , Mingdi Xu , Xuanpu Yang , Hongsheng Hou , Yucheng Wang , Lei Pan

We consider an interacting collective spin model known as coupled top (CT), exhibiting a rich variety of phenomena related to quantum transitions, ergodicity, and formation of quantum scars, discussed in [Phys. Rev. E 102, 020101(R)…

Statistical Mechanics · Physics 2022-02-09 Debabrata Mondal , Sudip Sinha , S. Sinha

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 extend random matrix theory to consider randomly interacting spin systems with spatial locality. We develop several methods by which arbitrary correlators may be systematically evaluated in a limit where the local Hilbert space dimension…

Statistical Mechanics · Physics 2020-01-08 Siddhardh C. Morampudi , Chris R. Laumann

We analyze the localization properties of the disordered Hubbard model in the presence of a synthetic magnetic field. An analysis of level spacing ratio shows a clear transition from ergodic to many-body localized phase. The transition…

Disordered Systems and Neural Networks · Physics 2021-01-08 Kuldeep Suthar , Piotr Sierant , Jakub Zakrzewski

We focus on the many-body eigenstates across a localization-delocalization phase transition. To characterize the robustness of the eigenstates, we introduce the eigenstate overlaps $\mathcal{O}$ with respect to the different boundary…

Disordered Systems and Neural Networks · Physics 2020-07-31 Zi-Yong Ge , Heng Fan

Utilizing ultracold spinor gases as large-scale, many-body quantum simulation platforms, we establish a toolbox for the precise control, characterization, and detection of nonequilibrium dynamics via internal spinor phases. We develop a…

Quantum Gases · Physics 2026-05-04 J. O. Austin-Harris , P. Sigdel , C. Binegar , S. E. Begg , T. Bilitewski , Y. Liu

Quantum systems that violate the eigenstate thermalisation hypothesis thereby falling outside the paradigm of conventional statistical mechanics are of both intellectual and practical interest. We show that such a breaking of ergodicity may…

Disordered Systems and Neural Networks · Physics 2020-05-20 Sthitadhi Roy , Achilleas Lazarides

We discuss monitoring the time evolution of an analog quantum simulator via a quantum non-demolition (QND) coupling to an auxiliary `clock' qubit. The QND variable of interest is the `energy' of the quantum many-body system, represented by…

Quantum Physics · Physics 2020-10-14 Denis V. Vasilyev , Andrey Grankin , Mikhail A. Baranov , Lukas M. Sieberer , Peter Zoller

The dynamics of non-Hermitian quantum systems have taken on an increasing relevance in light of quantum devices which are not perfectly isolated from their environment. The interest in them also stems from their fundamental differences from…

Disordered Systems and Neural Networks · Physics 2023-08-29 Soumi Ghosh , Manas Kulkarni , Sthitadhi Roy

There are multipartite entangled states in many-body systems which may be potential resources in various quantum applications. There are lots of methods to witness specific entangled systems. However, no efficient method is available to…

Quantum Physics · Physics 2022-04-20 Yan-Han Yang , Xue Yang , Ming-Xing Luo

Many-body localization (MBL) behavior is analyzed {in an extended Bose-Hubbard model with quasiperiodic infinite-range interactions. No additional disorder is present. Examining level statistics and entanglement entropy of eigenstates we…

Disordered Systems and Neural Networks · Physics 2021-06-02 Piotr Kubala , Piotr Sierant , Giovanna Morigi , Jakub Zakrzewski

The advancements of quantum processors offer a promising new window to study exotic states of matter. One striking example is the possibility of non-ergodic behaviour in systems with a large number of local degrees of freedom. Here we use a…

Quantum Physics · Physics 2024-12-18 Gonzalo Camacho , Claire L. Edmunds , Michael Meth , Martin Ringbauer , Benedikt Fauseweh

We experimentally and theoretically investigate the non-equilibrium phase structure of a well-controlled driven-disspative quantum spin system governed by the interplay of coherent driving, spontaneous decay and long-range spin-spin…

Atomic Physics · Physics 2018-08-15 S. Helmrich , A. Arias , S. Whitlock

This work supports the existence of extended nonergodic states in the intermediate region between the chaotic (thermal) and the many-body localized phases. These states are identified through an extensive analysis of static and dynamical…

Disordered Systems and Neural Networks · Physics 2017-02-09 E. J. Torres-Herrera , Lea F. Santos

Novel dynamical phases that violate ergodicity have been a subject of extensive research in recent years. A periodically driven system is naively expected to lose all memory of its initial state due to thermalization, yet this can be…

Quantum Physics · Physics 2022-03-08 Philipp Frey , Stephan Rachel

Spin-glass systems are universal models for representing many-body phenomena in statistical physics and computer science. High quality solutions of NP-hard combinatorial optimization problems can be encoded into low energy states of…

Disordered Systems and Neural Networks · Physics 2020-01-14 Gavin S. Hartnett , Masoud Mohseni

We study the transitions between ergodic and many-body localized phases in spin systems, subject to quenched disorder, including the Heisenberg chain and the central spin model. In both cases systems with common spin lengths $1/2$ and $1$…

Disordered Systems and Neural Networks · Physics 2021-05-19 John Schliemann , Joao Vitor I. Costa , Paul Wenk , J. Carlos Egues

We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all high-energy states and thus effectively working at…

Disordered Systems and Neural Networks · Physics 2015-05-20 Arijeet Pal , David A. Huse

We define a class of dynamical maps on the quasi-local algebra of a quantum spin system, which are quantum analogues of probabilistic cellular automata. We develop criteria for such a system to be ergodic, i.e., to possess a unique…

Condensed Matter · Physics 2009-10-28 S. Richter , R. F. Werner