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We study the probability distribution function of the long-time values of observables being time-evolved by Hamiltonians modeling clean and disordered one-dimensional chains of many spin-1/2 particles. In particular, we analyze the return…

Disordered Systems and Neural Networks · Physics 2023-10-10 I. Vallejo-Fabila , E. Jonathan Torres-Herrera

We investigate the propagation of local bipartite quantum correlations, along with the tripartite mutual information to characterize the information scrambling through dynamical evolution of spin chains. Starting from an initial state with…

Quantum Physics · Physics 2022-08-23 Saikat Sur , V. Subrahmanyam

We investigate the dynamical spreading of spatial correlations after a quantum quench starting from a magnetically disordered state in the transverse-field Ising model at one (1D) and two spatial dimensions (2D). We analyze specifically the…

Quantum Gases · Physics 2023-08-04 Ryui Kaneko , Ippei Danshita

We study information scrambling -- a spread of initially localized quantum information into the system's many degree of freedom -- in discrete-time quantum walks. We consider out-of-time-ordered correlators (OTOC) and K-complexity as a…

Quantum Physics · Physics 2024-11-07 Himanshu Sahu

We use a superspin Hamiltonian defined on an infinite-dimensional Fock space with positive definite scalar product to study localization and delocalization of noninteracting spinless quasiparticles in quasi-one-dimensional quantum wires…

Disordered Systems and Neural Networks · Physics 2009-10-02 Andreas P. Schnyder , Christopher Mudry , Ilya A. Gruzberg

We investigate the quantum dynamics of many-body systems subject to local, i.e. restricted to a limited space region, time-dependent perturbations. If the perturbation drives the system across a quantum transition, an off-equilibrium…

Statistical Mechanics · Physics 2018-03-21 Andrea Pelissetto , Davide Rossini , Ettore Vicari

Information to be stored and transported requires physical carriers. The quantum bit of information (qubit) can for instance be realised as the spin 1/2 degree of freedom of a massive particle like an electron or as the spin 1 polarisation…

Quantum Physics · Physics 2009-03-15 Cord A. Mueller

We show that the correlations in stochastic outputs of time-distributed weak measurements can be used to study the dynamics of an individual quantum object, with a proof-of-principle setup based on small Faraday rotation caused by a single…

Mesoscale and Nanoscale Physics · Physics 2010-01-20 R. -B. Liu , Shu-Hong Fung , Hok-Kin Fung , A. N. Korotkov , L. J. Sham

We consider the variation of von Neumann entropy of subsystem reduced states of general many- body lattice spin systems due to local quantum quenches. We obtain Lieb-Robinson-like bounds that are independent of the subsystem volume. The…

Quantum Physics · Physics 2017-06-08 Raphael C. Drumond , Natália S. Móller

The large-time asymptotics of the density matrix solving a drift-diffusion-Poisson model for the spin-polarized electron transport in semiconductors is proved. The equations are analyzed in a bounded domain with initial and Dirichlet…

Analysis of PDEs · Mathematics 2019-08-28 Philipp Holzinger , Ansgar Jüngel

Quantum-disordered models provide a versatile platform to explore the emergence of quantum excitations in many-body systems. The engineering of spin models at the atomic scale with scanning tunneling microscopy and the local imaging of…

Mesoscale and Nanoscale Physics · Physics 2023-08-23 Netta Karjalainen , Zina Lippo , Guangze Chen , Rouven Koch , Adolfo O. Fumega , Jose L. Lado

Fast scrambling of quantum correlations, reflected by the exponential growth of Out-of-Time-Order Correlators (OTOCs) on short pre-Ehrenfest time scales, is commonly considered as a major quantum signature of unstable dynamics in quantum…

Quantum Physics · Physics 2023-08-22 Mathias Steinhuber , Peter Schlagheck , Juan-Diego Urbina , Klaus Richter

In this paper we study one-dimensional quantum Ising spin chains in external magnetic field close to an integrable point. We concentrate on the dynamics of the slowest operator, that plays a key role at the final period of thermalization.…

Quantum Physics · Physics 2023-02-17 Ekaterina Izotova

We explore an unusual type of quantum matter that can be realized by qubits having different physical origin. Interactions in this matter are described by essentially different coupling operators for all qubits. We show that at least the…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 V. Y. Chernyak , N. A. Sinitsyn , C. Sun

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…

We study the transport and equilibration properties of a classical Heisenberg chain, whose couplings are random variables drawn from a one-parameter family of power-law distributions. The absence of a scale in the couplings makes the system…

Statistical Mechanics · Physics 2023-10-09 Adam J. McRoberts , Federico Balducci , Roderich Moessner , Antonello Scardicchio

We study a one-dimensional model of disordered electrons (also relevant for random spin chains), which exhibits a delocalisation transition at half-filling. Exact probability distribution functions for the Wigner time and transmission…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Steiner , Yang Chen , M. Fabrizio , Alexander O. Gogolin

Microscopic speed limits that constrain the motion of matter, energy, and information abound in physics, from the "ultimate" speed limit set by light to Lieb-Robinson speed limits in quantum spin systems. In addition to these…

Quantum Physics · Physics 2022-02-09 Shao-Kai Jian , Brian Swingle

This is a review of the dynamics of wave propagation through a disordered N-mode waveguide in the localized regime. The basic quantities considered are the Wigner-Smith and single-mode delay times, plus the time-dependent power spectrum of…

Disordered Systems and Neural Networks · Physics 2013-04-08 C. W. J. Beenakker

Time-dependent spin phenomena in condensed matter are most often either described in the weakly correlated limit of metallic Stoner/Slater-like magnetism via band theory or in the strongly correlated limit of Heisenberg-like interacting…

Strongly Correlated Electrons · Physics 2016-10-14 Malte Behrmann , Alexander I. Lichtenstein , Mikhail I. Katsnelson , Frank Lechermann