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We study the growth of the number entropy $S_N$ in one-dimensional number-conserving interacting systems with strong disorder, which are believed to display many-body localization. Recently a slow and small growth of $S_N$ has been…

无序系统与神经网络 · 物理学 2022-06-06 Roopayan Ghosh , Marko Žnidarič

We have recently shown that the logarithmic growth of the entanglement entropy following a quantum quench in a many-body localized (MBL) phase is accompanied by a slow growth of the number entropy, $S_N\sim\ln\ln t$. Here we provide an…

无序系统与神经网络 · 物理学 2021-01-22 Maximilian Kiefer-Emmanouilidis , Razmik Unanyan , Michael Fleischhauer , Jesko Sirker

We investigate the number entropy $S_N$---which characterizes particle-number fluctuations between subsystems---following a quench in one-dimensional interacting many-body systems with potential disorder. We find evidence that in the regime…

无序系统与神经网络 · 物理学 2020-06-18 Maximilian Kiefer-Emmanouilidis , Razmik Unanyan , Michael Fleischhauer , Jesko Sirker

The space of one-dimensional disordered interacting quantum models displaying a Many-Body-Localization Transition seems sufficiently rich to produce critical points with level statistics interpolating continuously between the Poisson…

无序系统与神经网络 · 物理学 2016-04-04 Cecile Monthus

The non-equilibrium dynamics of disordered many-body quantum systems after a global quantum quench unveils important insights about the competition between interactions and disorder, yielding in particular an insightful perspective on many…

无序系统与神经网络 · 物理学 2023-03-07 Youcef Mohdeb , Javad Vahedi , Ravindra N. Bhatt , Stephan Haas , Stefan Kettemann

Models of many-body localization (MBL) exhibit slow numerical drifts towards delocalization with increasing system size, for which no satisfactory theory exists. Numerics indicates that these drifts are driven by the proliferation of…

无序系统与神经网络 · 物理学 2026-05-08 Carlo Vanoni , David M. Long , Anushya Chandran

The fate of Many-Body Localization (MBL) in the thermodynamic limit remains elusive, partly because numerical studies suffer from unexplained finite-size effects. We introduce and numerically study the charge transport capacity (CTC) -- a…

无序系统与神经网络 · 物理学 2026-04-22 Jessica Kaijia Jiang , Federica Maria Surace , Olexei I. Motrunich

We investigate a spatial subsystem entropy extracted from the one-particle density matrix (OPDM) in one-dimensional disordered interacting fermions that host a many-body localized (MBL) phase. Deep in the putative MBL regime, this OPDM…

强关联电子 · 物理学 2021-07-20 Miroslav Hopjan , Fabian Heidrich-Meisner , Vincenzo Alba

While the eigenstate entanglement entropy has been extensively studied for fermionic systems, much less is known about bosonic systems. Here, we study the entanglement entropy of mid-spectrum eigenstates of Bose-Hubbard models, focusing on…

统计力学 · 物理学 2026-04-13 G. Medoš , L. Vidmar

We demonstrate that slow growth of the number entropy following a quench from a local product state is consistent with many-body localization. To do this we construct a random circuit l-bit model with exponentially localized l-bits and…

无序系统与神经网络 · 物理学 2024-11-21 David Aceituno Chávez , Claudia Artiaco , Thomas Klein Kvorning , Loïc Herviou , Jens H. Bardarson

We treat the disordered Heisenberg model in 1D as the standard model of many-body localization (MBL). Two new and independent order parameters stemming solely from the half-chain von Neumann entanglement entropy $S_{\textrm{vN}}$ are…

无序系统与神经网络 · 物理学 2025-12-04 Jie Chen , Chun Chen , Xiaoqun Wang

In classical chaotic systems the entropy, averaged over initial phase space distributions, follows an universal behavior. While approaching thermal equilibrium it passes through a stage where it grows linearly, while the growth rate, the…

高能物理 - 理论 · 物理学 2022-02-16 Georg Maier , Andreas Schäfer , Sebastian Waeber

The connection between entanglement dynamics and non-equilibrium statistics in isolated many-body quantum systems has been established both theoretically and experimentally. Many-Body Localization (MBL), a phenomenon where interacting…

量子物理 · 物理学 2025-07-04 Peyman Azodi , Herschel A. Rabitz

Despite considerable efforts over the last decade, the high-energy phase diagram of the random-field Heisenberg chain still eludes our understanding, in particular the nature of the non-ergodic many-body localized (MBL) regime expected at…

无序系统与神经网络 · 物理学 2025-12-19 Nicolas Laflorencie , Jeanne Colbois , Fabien Alet

Understanding how the interaction range and various types of disorder affect the level statistics of many-body quantum systems and lead to the emergence of many-body localization (MBL) is a challenging open frontier. We study the level…

强关联电子 · 物理学 2026-04-17 Vengatesan Ganapathy , Pranay Patil , Ajit C. Balram

Using numerical quantum quenches with the integration of both symmetry and energy resolutions, we comprehensively study the dynamics of symmetry-resolved entanglement in a disordered Bose-Hubbard (dBH) model, concentrating on the two types…

无序系统与神经网络 · 物理学 2025-09-29 Jie Chen , Chun Chen , Xiaoqun Wang

Many-body localization (MBL) of a disordered interacting boson system in one dimension is studied numerically at the filling faction one-half. The von Neumann entanglement entropy SvN is commonly used to detect the MBL phase transition but…

无序系统与神经网络 · 物理学 2024-03-07 Jie Chen , Chun Chen , Xiaoqun Wang

We study bulk recombination in a medium with energetic disorder by using the multiple trapping (MT) model under continuous irradiation with excitation light. Charge densities are shown to obey power law as a function of the intensity of…

材料科学 · 物理学 2013-03-08 Kazuhiko Seki , M. Tachiya

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…

无序系统与神经网络 · 物理学 2021-05-19 Eli Chertkov , Benjamin Villalonga , Bryan K. Clark

In a recent preprint by Kiefer-Emmanouilidis, Unanyan, Fleischhauer and Sirker [arxiv:2203.06689] the authors comment on our work which studied the number entropy in strongly disordered systems. The data presented in the comment does not…

无序系统与神经网络 · 物理学 2022-05-13 Roopayan Ghosh , Marko Žnidarič
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