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Despite the fact that power-law interactions occur in a plethora of physical systems, their many-body dynamics is far less understood than that of nearest-neighbor interacting systems. Here, we study information scrambling in strongly…

In this study, we investigate out-of-time-order correlators (OTOCs) in systems with power-law decaying interactions such as $R^{-\alpha}$, where $R$ is the distance. In such systems, the fast scrambling of quantum information or the…

量子物理 · 物理学 2021-01-29 Tomotaka Kuwahara , Keiji Saito

We study the real-time dynamics of a two-dimensional Anderson--Hubbard model using nonequilibrium self-consistent perturbation theory within the second-Born approximation. When compared with exact diagonalization performed on small…

无序系统与神经网络 · 物理学 2016-03-11 Yevgeny Bar Lev , David R. Reichman

Out-of-time-order correlators (OTOC), vigorously being explored as a measure of quantum chaos and information scrambling, is studied here in the natural and simplest multi-particle context of bipartite systems. We show that two strongly…

量子物理 · 物理学 2020-03-18 Ravi Prakash , Arul Lakshminarayan

Motivated by the question of whether all fast scramblers are holographically dual to quantum gravity, we study the dynamics of a non-integrable spin chain model composed of two ingredients - a nearest neighbor Ising coupling, and an…

量子气体 · 物理学 2021-01-05 Zehan Li , Sayan Choudhury , W. Vincent Liu

Extensive Monte Carlo simulations are performed on a two-dimensional random field Ising model. The purpose of the present work is to study the disorder-induced changes in the properties of disordered spin systems. The time evolution of the…

统计力学 · 物理学 2013-02-22 Suman Sinha , Pradipta Kumar Mandal

We investigate how information spreads in three paradigmatic one-dimensional models with spatial disorder. The models we consider are unitarily related to a system of free fermions and are thus manifestly integrable. We demonstrate that…

强关联电子 · 物理学 2019-01-23 Max McGinley , Andreas Nunnenkamp , Johannes Knolle

We investigate three-dimensional O(N) spin models driven with a uniform velocity over a random field. Within a spin-wave approximation, it is shown that in the strong driving regime the model with N=2 exhibits a quasi-long-range order in…

统计力学 · 物理学 2015-12-16 Taiki Haga

We investigate the nonequilbrium dynamics of entanglement entropy and out-of-time-order correlator (OTOC) of noninteracting fermions at half-filling starting from a product state to distinguish the delocalized, multifractal (in the limit of…

强关联电子 · 物理学 2021-07-06 Nilanjan Roy , Auditya Sharma

We observe the onset of non-ergodicity from ballistic propagation of a two-body bound state in an interacting discrete-time quantum walk (DTQW) due to time-dependent disorder in the interaction. The effect of the disorder on the two-body…

介观与纳米尺度物理 · 物理学 2020-02-19 L. A. Toikka

How fast quantum information scrambles such that it becomes inaccessible by local probes turns out to be central to various fields. Motivated by recent works on spin systems with nonlocal interactions, we study information scrambling in…

量子物理 · 物理学 2023-05-24 Darvin Wanisch , Juan Diego Arias Espinoza , Stephan Fritzsche

We investigate two one-dimensional tight-binding models with disorder that have extended states at zero energy. We use exact and partial diagonalisation of the Hamiltonian to obtain the eigenmodes and the associated participation ratios,…

无序系统与神经网络 · 物理学 2025-08-27 Luca Schaefer , Barbara Drossel

The out of time order correlator (OTOC) serves as a powerful tool for investigating quantum information spreading and chaos in complex systems. We present a method employing non-equilibrium dynamical mean-field theory (DMFT) and coherent…

强关联电子 · 物理学 2026-02-20 Chakradhar Rangi , Juana Moreno , Ka-Ming Tam

We study the decoherence dynamics of dipole-coupled two-level quantum systems in Ramsey-type experiments. We focus on large networks of two-level systems, confined to two spatial dimensions and with positional disorder giving rise to…

量子气体 · 物理学 2017-11-15 M. P. Kwasigroch , N. R. Cooper

Using projected entangled-pair states (PEPS) we analyze the localization properties of two-dimensional systems on a square lattice. We compare the dynamics found for three different disorder types: (i) quenched disorder, (ii) sum of two…

无序系统与神经网络 · 物理学 2018-11-13 D. M. Kennes

We introduce an extension of the non-equilibrium dynamical mean field theory to incorporate the effects of static random disorder in the dynamics of a many-particle system by integrating out different disorder configurations resulting in an…

强关联电子 · 物理学 2025-04-28 Chakradhar Rangi , Herbert F Fotso , Hanna Terletska , Juana Moreno , Ka-Ming Tam

Out-of-time-order correlators (OTOCs) have proven to be a useful tool for studying thermalisation in quantum systems. In particular, the exponential growth of OTOCS, or scrambling, is sometimes taken as an indicator of chaos in quantum…

量子物理 · 物理学 2021-03-09 R. A. Kidd , A. Safavi-Naini , J. F. Corney

We consider the two-level correlation function in two-dimensional disordered systems. In the non-ergodic diffusive regime, at energy $\epsilon>E_{c}$ ($E_{c}$ is the Thouless energy), it is shown to be completely determined by the weak…

凝聚态物理 · 物理学 2016-08-31 Vladimir E. Kravtsov , Igor V. Lerner

Quench dynamics in a two-dimensional system of interacting fermions is analyzed within the semiclassical truncated Wigner approximation (TWA). The models with short-range and long-range interactions are considered. We show that in the…

量子气体 · 物理学 2021-01-01 Adam S. Sajna , Anatoli Polkovnikov

There has been considerable interest in the disordered Bose Hubbard model (BHM) in recent years, particularly in the context of thermalization and many-body localization. We develop a two-particle irreducible (2PI) strong-coupling approach…

量子气体 · 物理学 2024-01-10 Ali Mokhtari-Jazi , Matthew R. C. Fitzpatrick , Malcolm P. Kennett
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