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Many-body localization (MBL) can occur when strong disorders prevent an interacting system from thermalization. To study the dynamics of such systems, it is typically necessary to perform an ensemble average over many different disorder…

Quantum Physics · Physics 2023-08-16 Jhen-Dong Lin , Yueh-Nan Chen

For short-ranged disordered quantum models in one dimension, the Many-Body-Localization is analyzed via the adaptation to the Many-Body context [M. Serbyn, Z. Papic and D.A. Abanin, PRX 5, 041047 (2015)] of the Thouless point of view on the…

Disordered Systems and Neural Networks · Physics 2016-07-11 Cecile Monthus

The integrated information theory is thought to be a key clue towards the theoretical understanding of consciousness. In this study, we propose a simple numerical model comprising a set of coupled double quantum dots, where the…

Quantum Physics · Physics 2020-09-30 Katsuaki Tanabe

The Quantum Sun model is a many-body Hamiltonian model of interacting spins arranged on the half-line. Spins at distance $n$ from the origin are coupled to the rest of the system via a term of strength $\alpha^n$, with $\alpha \in (0,1)$.…

Mathematical Physics · Physics 2025-06-17 Wojciech De Roeck , Amirali Hannani

Disorder and interactions can lead to the breakdown of statistical mechanics in certain quantum systems, a phenomenon known as many-body localization (MBL). Much of the phenomenology of MBL emerges from the existence of $\ell$-bits, a set…

Disordered Systems and Neural Networks · Physics 2021-05-19 Eli Chertkov , Benjamin Villalonga , Bryan K. Clark

Many-body-localized (MBL) phases can be topologically distinct, but distinguishing these phases using order parameters can be challenging. Here we show how topologically distinct local integrals of motion, variationally parametrized by…

Disordered Systems and Neural Networks · Physics 2022-05-05 Thorsten B. Wahl , Florian Venn , Benjamin Béri

Quantum information scrambling describes the delocalization of local information to global information in the form of entanglement throughout all possible degrees of freedom. A natural measure of scrambling is the tripartite mutual…

Quantum Physics · Physics 2021-09-06 Jhen-Dong Lin , Wei-Yu Lin , Huan-Yu Ku , Neill Lambert , Yueh-Nan Chen , Franco Nori

The interplay of interactions and disorder in a quantum many body system may lead to the elusive phenomenon of many body localization (MBL). It has been observed under precisely controlled conditions in synthetic quantum many-body systems,…

Disordered Systems and Neural Networks · Physics 2022-07-25 A. Nietner , A. Kshetrimayum , J. Eisert , B. Lake

We study the dynamical fermionization of strongly interacting one-dimensional bosons in Tonks-Girardeau limit by solving the time dependent many-boson Schr\"odinger equation numerically exactly. We establish that the one-body momentum…

Quantum Gases · Physics 2024-02-02 Barnali Chakrabarti , Arnaldo Gammal , N D Chavda , Mantile Leslie Lekala

Mottness is at the heart of the essential physics in a strongly correlated system as many novel quantum phenomena occur in the metallic phase near the Mott metal-insulator transition. We investigate the Mott transition in a Hubbard model by…

Strongly Correlated Electrons · Physics 2023-11-29 Yuekun Niu , Yu Ni , Jianli Wang , Leiming Chen , Ye Xing , Yun Song , Shiping Feng

The quantum Fisher information (QFI) represents a fundamental concept in quantum physics. On the one hand, it quantifies the metrological potential of quantum states in quantum-parameter-estimation measurements. On the other hand, it is…

Multipartite entanglement, such as witnessed through the quantum Fisher information (QFI), is a crucial resource for quantum technologies, but its experimental certification is highly challenging. Here, we propose an experimentally friendly…

Quantum Physics · Physics 2021-09-01 Ricardo Costa de Almeida , Philipp Hauke

Isolated quantum systems typically follow the eigenstate thermalization hypothesis, but there are exceptions, such as many-body localized (MBL) systems and quantum many-body scars. Here, we present the study of a weak violation of MBL due…

Disordered Systems and Neural Networks · Physics 2022-12-02 Michael Iversen , N. S. Srivatsa , Anne E. B. Nielsen

Many-body localization is a unique physical phenomenon driven by interactions and disorder for which a quantum system can evade thermalization. While the existence of a many-body localized phase is now well-established in one-dimensional…

Disordered Systems and Neural Networks · Physics 2020-08-06 Hugo Théveniaut , Zhihao Lan , Gabriel Meyer , Fabien Alet

A uniform matrix product state defined on a tripartite system of spins, denoted by $ABC,$ is shown to be an approximate quantum Markov chain when the size of subsystem $B,$ denoted $|B|,$ is large enough. The quantum conditional mutual…

Quantum Physics · Physics 2024-03-07 Pavel Svetlichnyy , Shivan Mittal , T. A. B. Kennedy

A key signature of MBL (many-body localization) is the slow rate at which information spreads. It is shown that the infinite random Heisenberg XXZ spin-$\frac12$ chain exhibits slow propagation of information (logarithmic light cone) in any…

Mathematical Physics · Physics 2026-03-10 Alexander Elgart , Abel Klein

Many-body localization occurs in isolated quantum systems when Anderson localization persists in the presence of finite interactions. Despite strong evidence for the existence of a many-body localization transition a reliable extraction of…

Strongly Correlated Electrons · Physics 2014-09-17 Jonas A. Kjäll , Jens H. Bardarson , Frank Pollmann

We study the many-body localization (MBL) transition in a generalized Aubry-Andre model (also known as the GPD model) introduced in Phys. Rev. Lett. 114, 146601 (2015). In contrast to MBL in other disordered or quasiperiodic models, the…

Disordered Systems and Neural Networks · Physics 2024-06-14 Ke Huang , DinhDuy Vu , Sankar Das Sarma , Xiao Li

The conditional mutual information (CMI) $\mathcal{I}(A\! : \! C|B)$ quantifies the amount of correlations shared between $A$ and $C$ \emph{given} $B$. It therefore functions as a more general quantifier of bipartite correlations in…

Quantum Physics · Physics 2019-06-20 William T. B. Malouf , John Goold , Gerardo Adesso , Gabriel T. Landi

We review some recent developments in the statistical mechanics of isolated quantum systems. We provide a brief introduction to quantum thermalization, paying particular attention to the `Eigenstate Thermalization Hypothesis' (ETH), and the…

Statistical Mechanics · Physics 2015-04-07 Rahul Nandkishore , David A. Huse
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