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We study anomalous transport arising in disordered one-dimensional spin chains, specifically focusing on the subdiffusive transport typically found in a phase preceding the many-body localization transition. Different types of transport can…

Disordered Systems and Neural Networks · Physics 2020-03-09 Maximilian Schulz , Scott R. Taylor , Antonello Scardicchio , Marko Žnidarič

We generalize the definition of localization length to disordered systems driven by a time-periodic potential using a Floquet-Green function formalism. We study its dependence on the amplitude and frequency of the driving field in a…

Disordered Systems and Neural Networks · Physics 2009-11-11 Dario F. Martinez , Rafael A. Molina

We study the creation and distribution of entanglement in disordered $XY$-type spin-$1/2$ chains for the paradigmatic case of a single flipped spin prepared on a fully polarized background. The local magnetic field is set to follow a…

Using the adaptive time-dependent density matrix renormalization group method, we numerically study the spin dynamics and transport in one-dimensional spin-1/2 systems at zero temperature. Instead of computing transport coefficients from…

Strongly Correlated Electrons · Physics 2009-06-16 S. Langer , F. Heidrich-Meisner , J. Gemmer , I. P. McCulloch , U. Schollwoeck

We investigate the role of a quasiperiodically driven electric field in a one-dimensional disordered fermionic chain. In the clean non-interacting case, we show the emergence of dynamical localization - a phenomenon previously known to…

Disordered Systems and Neural Networks · Physics 2024-07-08 Vatsana Tiwari , Devendra Singh Bhakuni , Auditya Sharma

We investigate a simple tight-binding Hamiltonian to understand the stability of spin-polarized transport of states with an arbitrary spin content in the presence of disorder. The general spin state is made to pass through a linear chain of…

Disordered Systems and Neural Networks · Physics 2019-04-12 Leonardo Benini , Amrita Mukherjee , Arunava Chakrabarti , Rudolf A. Roemer

We consider a weakly interacting quantum spin chain with random local interactions. We prove that many-body localization follows from a physically reasonable assumption that limits the extent of level attraction in the statistics of…

Mathematical Physics · Physics 2016-07-07 John Z Imbrie

We study the unitary relaxation dynamics of disordered spin chains following a sudden quench of the Hamiltonian. We give analytical arguments, corroborated by specific numerical examples, to show that the existence of a stationary state…

Disordered Systems and Neural Networks · Physics 2012-12-21 Simone Ziraldo , Alessandro Silva , Giuseppe E. Santoro

Many-body localisation is studied in a disordered quantum spin-1/2 chain with long-ranged power-law interactions, and distinct power-law exponents for interactions between longitudinal and transverse spin components. Using a self-consistent…

Disordered Systems and Neural Networks · Physics 2019-10-09 Sthitadhi Roy , David E. Logan

The semi-infinite XY spin chain with an impurity at the boundary has been chosen as a prototype of interacting many-body systems to test for non-ergodic behavior. The model is exactly solvable in analytic way in the thermodynamic limit,…

Statistical Mechanics · Physics 2018-10-17 A. O. García Rodríguez , G. G. Cabrera

We report in this paper our numerical analysis of energy level spacing statistics for the one-dimensional spin-$1/2$ XXZ model in random on-site longitudinal magnetic fields $B_i$ ($-h\leq B_i\leq h$)). We concentrate on the strong disorder…

Disordered Systems and Neural Networks · Physics 2021-06-22 Wai Pang Sze , Tai Kai Ng , Kam Tuen Law

Motivated by recent debates around the many-body localization (MBL) problem, and in particular its stability against systemwide resonances, we investigate long-distance spin-spin correlations across the phase diagram of the random-field XXZ…

Disordered Systems and Neural Networks · Physics 2025-01-10 Jeanne Colbois , Fabien Alet , Nicolas Laflorencie

We study the response of an isolated quantum system governed by the Hamiltonian drawn from the Gaussian Rosenzweig-Porter random matrix ensemble to a perturbation controlled by a small parameter. We focus on the density of states, local…

Disordered Systems and Neural Networks · Physics 2022-08-30 Mikhail A. Skvortsov , Mohsen Amini , Vladimir E. Kravtsov

Although random matrix theory provides a fundamental framework for characterizing quantum chaos, encompassing both ergodic and localized phases, a comprehensive understanding of the universal features governing the critical transition…

Quantum Physics · Physics 2026-04-30 S. Mal , D. K. Nandy , B. K. Sahoo

We study energy transport in XXZ spin chains driven to nonequilibrium configurations by thermal reservoirs of different temperatures at the boundaries. We discuss the transition between diffusive and subdiffusive transport regimes in…

Disordered Systems and Neural Networks · Physics 2019-03-25 Juan Jose Mendoza-Arenas , Marko Znidaric , Vipin Kerala Varma , John Goold , Stephen R. Clark , Antonello Scardicchio

We present numerical results within the one-dimensional disordered Hubbard model for several characteristic indicators of the many-body localization (MBL). Considering traditionally studied charge disorder (i.e., the same disorder strength…

Strongly Correlated Electrons · Physics 2017-01-26 P. Prelovšek , O. S. Barišić , M. Žnidarič

We say that a quantum spin system is dynamically localized if the time-evolution of local observables satisfies a zero-velocity Lieb-Robinson bound. In terms of this definition we have the following main results: First, for general systems…

Mathematical Physics · Physics 2012-09-28 Eman Hamza , Robert Sims , Günter Stolz

At low energy, the dynamics of excitations of many physical systems are locally constrained. Examples include frustrated anti-ferromagnets, fractional quantum Hall fluids and Rydberg atoms in the blockaded regime. Can such locally…

Disordered Systems and Neural Networks · Physics 2018-08-30 Chun Chen , Fiona Burnell , Anushya Chandran

We study the $t{-}V$ disordered spinless fermionic chain in the strong coupling regime, $t/V\rightarrow 0$. Strong interactions highly hinder the dynamics of the model, fragmenting its Hilbert space into exponentially many blocks in system…

Disordered Systems and Neural Networks · Physics 2020-01-01 Giuseppe De Tomasi , Daniel Hetterich , Pablo Sala , Frank Pollmann

We study localization occurring during high speed shear deformations of metals leading to the formation of shear bands. The localization instability results from the competition among Hadamard instability (caused by softening response) and…

Analysis of PDEs · Mathematics 2019-02-25 Min-Gi Lee , Theodoros Katsaounis , Athanasios Tzavaras