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We show that the one-particle density matrix $\rho$ can be used to characterize the interaction-driven many-body localization transition in closed fermionic systems. The natural orbitals (the eigenstates of $\rho$) are localized in the…

强关联电子 · 物理学 2015-07-28 Soumya Bera , Henning Schomerus , Fabian Heidrich-Meisner , Jens H. Bardarson

Many-body localized (MBL) systems do not approach thermal equilibrium under their intrinsic dynamics; MBL and conventional thermalizing systems form distinct dynamical phases of matter, separated by a phase transition at which equilibrium…

无序系统与神经网络 · 物理学 2021-05-25 Sarang Gopalakrishnan , S. A. Parameswaran

We study the many-body localization (MBL) transition in an 1D exactly solvable system with long-range hopping and quasiperiodic on-site potential introduced in Phys. Rev. Lett. 131, 186303 (2023). Unlike other disorder or quasiperiodic…

无序系统与神经网络 · 物理学 2025-01-09 Haowei Fan , Ke Huang , Xiao Li

Quantum many-body systems with sufficiently strong disorder can exhibit a non-equilibrium phenomenon, known as the many-body localization (MBL), which is distinct from conventional thermalization. While the MBL regime has been extensively…

A powerful perspective in understanding non-equilibrium quantum dynamics is through the time evolution of its entanglement content. Yet apart from a few guiding principles for the entanglement entropy, to date, not much else is known about…

强关联电子 · 物理学 2020-03-18 W. Zhu , Zhoushen Huang , Yin-Chen He , Xueda Wen

The many-body localised phase of quantum systems is an unusual dynamical phase wherein the system fails to thermalise and yet, entanglement grows unboundedly albeit very slowly in time. We present a microscopic theory of this ultraslow…

无序系统与神经网络 · 物理学 2024-12-23 Bikram Pain , Sthitadhi Roy

In this work, we investigate the localization properties of a paradigmatic model, coupled to a monitoring environment and possessing a many-body localized (MBL) phase. We focus on the post-selected no-click limit with quench random rates,…

无序系统与神经网络 · 物理学 2024-05-14 Giuseppe De Tomasi , Ivan M. Khaymovich

The resilience of quantum entanglement to a classicality-inducing environment is tied to fundamental aspects of quantum many-body systems. The dynamics of entanglement has recently been studied in the context of measurement-induced…

量子物理 · 物理学 2020-10-21 Oliver Lunt , Arijeet Pal

We study time dynamics of 1D disordered Heisenberg spin-1/2 chain focusing on a regime of large system sizes and a long time evolution. This regime is relevant for observation of many-body localization (MBL), a phenomenon that is expected…

无序系统与神经网络 · 物理学 2022-08-02 Piotr Sierant , Jakub Zakrzewski

We present a fully analytical description of a many body localization (MBL) transition in a microscopically defined model. Its Hamiltonian is the sum of one- and two-body operators, where both contributions obey a maximum-entropy principle…

强关联电子 · 物理学 2021-01-13 Felipe Monteiro , Tobias Micklitz , Masaki Tezuka , Alexander Altland

Many-body localization (MBL) transition emerges at strong disorder in interacting systems, separating chaotic and reversible dynamics. Although the existence of MBL transition within the macroscopic limit in spin chains with a short-range…

无序系统与神经网络 · 物理学 2026-02-06 Illia Lukin , Andrii Sotnikov , Alexander L. Burin

We study bulk particle transport in a Fermi-Hubbard model on an infinite-dimensional Bethe lattice, driven by a constant electric field. Previous numerical studies showed that one dimensional analogs of this system exhibit a breakdown of…

无序系统与神经网络 · 物理学 2026-01-09 Hristiana Atanasova , André Erpenbeck , Emanuel Gull , Yevgeny Bar Lev , Guy Cohen

We investigate charge relaxation in disordered and quasi-periodic quantum-wires of spin-less fermions ($t{-}V$-model) at different inhomogeneity strength $W$ in the localized and nearly-localized regime. Our observable is the time-dependent…

强关联电子 · 物理学 2019-10-07 Felix Weiner , Ferdinand Evers , Soumya Bera

We present a detailed analysis of the length- and timescales needed to approach the critical region of MBL from the delocalised phase, studying both eigenstates and the time evolution of an initial state. For the eigenstates we show that in…

无序系统与神经网络 · 物理学 2020-02-10 Rajat K. Panda , Antonello Scardicchio , Maximilian Schulz , Scott R. Taylor , Marko Žnidarič

Within the standard model of many-body localization, i.e., the disordered chain of spinless fermions, we investigate how the interaction affects the many-body states in the basis of noninteracting localized Anderson states. From this…

强关联电子 · 物理学 2018-03-14 Peter Prelovšek , Osor S. Barišić , Marcin Mierzejewski

A model of discrete dynamics of entanglement of bipartite quantum state is considered. It involves a global unitary dynamics of the system and periodic actions of local bistochastic or decaying channel. For initially pure states the decay…

量子物理 · 物理学 2009-11-06 Karol Zyczkowski , Pawel Horodecki , Michal Horodecki , Ryszard Horodecki

Many-body localization (MBL) in a one-dimensional Fermi Hubbard model with random on-site interactions is studied. While for this model all single-particle states are trivially delocalized, it is shown that for sufficiently strong…

无序系统与神经网络 · 物理学 2016-11-22 Yevgeny Bar Lev , David R. Reichman , Yoav Sagi

Generic quantum many-body systems typically show a linear growth of the entanglement entropy after a quench from a product state. While entanglement is a property of the wave function, it is generated by the unitary time evolution operator…

无序系统与神经网络 · 物理学 2019-11-21 Talía L. M. Lezama , David J. Luitz

We analyze many-body entanglement in interacting fermionic systems by using the $M$-body reduced density matrix. We demonstrate that if a particle number conserving fermionic Hamiltonian contains only up to $M$-body interaction terms, then…

量子物理 · 物理学 2026-04-06 Irakli Giorgadze , Grayson Welch , Haixuan Huang , Elio J. König , Jukka I. Väyrynen

As recently manifested , the quench dynamics of isolated quantum systems consisting of a finite number of particles, is characterized by an exponential spreading of wave packets in the many-body Hilbert space. This happens when the…

混沌动力学 · 物理学 2020-03-23 Samy Mailoud , Fausto Borgonovi , Felix Izrailev