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We introduce the cut averaged entanglement entropy in disordered periodic spin chains and prove it to be a concave function of subsystem size for individual eigenstates. This allows us to identify the entanglement scaling as a function of…

强关联电子 · 物理学 2016-11-21 Xiongjie Yu , David J. Luitz , Bryan K. Clark

Can localization persist when interaction grows infinitely stronger than randomness? If so, is it many-body Anderson localization? How about the associated localization transition in the infinite-interaction limit? To tackle these…

无序系统与神经网络 · 物理学 2022-12-06 Chun Chen , Yan Chen , Xiaoqun Wang

Systems of strongly interacting dipoles offer an attractive platform to study many-body localized phases, owing to their long coherence times and strong interactions. We explore conditions under which such localized phases persist in the…

We present a framework in which the transition between a many-body localised (MBL) phase and an ergodic one is symmetry breaking. We consider random Floquet spin chains, expressing their averaged spectral form factor (SFF) as a function of…

统计力学 · 物理学 2021-10-26 S. J. Garratt , J. T. Chalker

The many-body localization transition is a dynamical quantum phase transition between a localized and an extended phase. We study this transition in the XXZ model with disordered magnetic field and focus on the time evolution following a…

无序系统与神经网络 · 物理学 2016-02-24 Rajeev Singh , Jens H. Bardarson , Frank Pollmann

We propose a method for detecting many-body localization (MBL) in disordered spin systems. The method involves pulsed, coherent spin manipulations that probe the dephasing of a given spin due to its entanglement with a set of distant spins.…

无序系统与神经网络 · 物理学 2014-10-08 M. Serbyn , M. Knap , S. Gopalakrishnan , Z. Papić , N. Y. Yao , C. R. Laumann , D. A. Abanin , M. D. Lukin , E. A. Demler

We develop the concept of surface multifractality for localization-delocalization (LD) transitions in disordered electronic systems. We point out that the critical behavior of various observables related to wave functions near a boundary at…

介观与纳米尺度物理 · 物理学 2007-05-23 A. R. Subramaniam , I. A. Gruzberg , A. W. W. Ludwig , F. Evers , A. Mildenberger , A. D. Mirlin

The isolated one-dimensional Heisenberg model with static random magnetic fields has become paradigmatic for the analysis of many-body localization. Here, we study the dynamics of this system initially prepared in a highly-excited…

无序系统与神经网络 · 物理学 2015-07-27 E. J. Torres-Herrera , Lea F. Santos

The impact of geometry on many body localization is studied on simple, exemplary systems amenable to exact diagonalization treatment. The crossover between ergodic and MBL phase for uniform as well as quasi-random disorder is analyzed using…

无序系统与神经网络 · 物理学 2018-09-26 Dariusz Wiater , Jakub Zakrzewski

With a tight binding treatment we examine amorphous conductors with gas-like disorder, or no correlations among the site positions. We consider an exponentially decaying hopping integral with range $l$, and the Inverse Participation Ratio…

无序系统与神经网络 · 物理学 2011-12-15 D. J. Priour

We study the metal-insulator transition in a tight-binding one-dimensional (1D) model with long-range correlated disorder. In the case of diagonal disorder with site energy within $[-\frac{W}{2},\frac{W}{2}]$ and having a power-law spectral…

无序系统与神经网络 · 物理学 2015-05-14 Yi Zhao , Suqing Duan , Wei Zhang

We investigate many-body localization of interacting spinless fermions in a one-dimensional disordered and tilted lattice. The fermions undergo energy-dependent transitions from ergodic to Stark many-body localization driven by the tilted…

量子物理 · 物理学 2021-03-03 Li Zhang , Yongguan Ke , Wenjie Liu , Chaohong Lee

We numerically investigate the distribution of Drude weights $D$ of many-body states in disordered one-dimensional interacting electron systems across the transition to a many-body localized phase. Drude weights are proportional to the…

介观与纳米尺度物理 · 物理学 2016-11-23 Michele Filippone , Piet W. Brouwer , Jens Eisert , Felix von Oppen

An interacting quantum system can transition from an ergodic to a many-body localized (MBL) phase under the presence of sufficiently large disorder. Both phases are radically different in their dynamical properties, which are characterized…

无序系统与神经网络 · 物理学 2020-05-29 Benjamin Villalonga , Bryan K. Clark

We suggest that if a localized phase at nonzero temperature $T>0$ exists for strongly disordered and weakly interacting electrons, as recently argued, it will also occur when both disorder and interactions are strong and $T$ is very high.…

强关联电子 · 物理学 2009-11-11 Vadim Oganesyan , David A. Huse

We study the breaking of ergodicity measured in terms of return probability in the evolution of a quantum state of a spin chain. In the non ergodic phase a quantum state evolves in a much smaller fraction of the Hilbert space than would be…

强关联电子 · 物理学 2013-02-28 Andrea De Luca , Antonello Scardicchio

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

In the presence of quasiperiodic potentials, the celebrated Kitaev chain presents an intriguing phase diagram with ergodic, localized and and multifractal states. In this work, we generalize these results by studying the localization…

无序系统与神经网络 · 物理学 2022-07-28 Joana Fraxanet , Utso Bhattacharya , Tobias Grass , Maciej Lewenstein , Alexandre Dauphin

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…

无序系统与神经网络 · 物理学 2021-01-08 Kuldeep Suthar , Piotr Sierant , Jakub Zakrzewski

Many-body localization is a dynamical phenomenon characteristic of strongly interacting and disordered many-body quantum systems which fail to achieve thermal equilibrium. From a quantum information perspective, the fingerprint of this…