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A short quasi-monochromatic wave packet incident on a semi-infinite disordered medium gives rise to a reflected wave. The intensity of the latter decays as a power law $1/t^{\alpha}$ in the long-time limit. Using the one-dimensional…

Disordered Systems and Neural Networks · Physics 2018-03-14 Sergey E. Skipetrov , Aritra Sinha

We study the Loschmidt echo (LE) in a central spin model in which a central spin is globally coupled to an environment (E) which is subjected to a small and sudden quench at $t=0$ so that its state at $t=0^+$, remains the same as the ground…

Statistical Mechanics · Physics 2012-07-31 Victor Mukherjee , Shraddha Sharma , Amit Dutta

We study the dynamics of one and two dimensional disordered lattice bosons/fermions initialized to a Fock state with a pattern of $1$ and $0$ particles on $A$ and ${\bar A}$ sites. For non-interacting systems we establish a universal…

Disordered Systems and Neural Networks · Physics 2021-01-04 Ahana Chakraborty , Pranay Gorantla , Rajdeep Sensarma

Perturbative scaling is applied to the Anderson model for a localized level coupled to a Fermi system in which the density of states varies like $|E|^r$ near the Fermi energy ($E=0$). This model with $r=1$ or $2$ may describe magnetic…

Condensed Matter · Physics 2009-09-25 Carlos Gonzalez-Buxton , Kevin Ingersent

It is known that there are lattice models in which non-interacting particles get dynamically localized when periodic $\delta$-function kicks are applied with a particular strength. We use both numerical and analytical methods to study the…

Mesoscale and Nanoscale Physics · Physics 2017-01-18 Adhip Agarwala , Diptiman Sen

The phenomenon of Anderson localization of waves in elastic systems is studied. We analyze this phenomenon in two different set of systems: disordered linear chains of harmonic oscillators and disordered rods which oscillate with torsional…

Classical Physics · Physics 2023-07-19 R. A. Mendez-Sanchez , L. Gutierrez , A. Morales , J. Flores , A. Diaz-de-Anda , G. Monsivais

Using the fractional moment method it is shown that, within the Hartree-Fock approximation for the Disordered Hubbard Hamiltonian, weakly interacting Fermions at positive temperature exhibit localization, suitably defined as exponential…

Mathematical Physics · Physics 2021-06-14 Rodrigo Matos , Jeffrey Schenker

We present a new embedding scheme for the locally self-consistent method to study disordered electron systems. We test this method in a tight-binding basis and apply it to the single band Anderson model. The local interaction zone is used…

Disordered Systems and Neural Networks · Physics 2019-09-04 Yi Zhang , Hanna Terletska , Ka-Ming Tam , Yang Wang , Markus Eisenbach , Liviu Chioncel , Mark Jarrell

We investigate a variant of the Aubry-Andr\'e-Harper (AAH) model corresponding to a bosonic optical lattice of ultra cold atoms under an effective oscillatory magnetic field. In the limit of high frequency oscillation, the system maybe…

The influence of time-dependent perturbations on an autonomous Hamiltonian system with an equilibrium of center type is considered. It is assumed that the perturbations decay at infinity in time and vanish at the equilibrium of the…

Dynamical Systems · Mathematics 2022-04-29 Oskar A. Sultanov

We numerically study the effect of disorder on the stability of the many body zero mode in a Kitaev chain with local interactions. Our numerical procedure allows us to resolve the position-space and multi-particle structure of the zero…

Strongly Correlated Electrons · Physics 2018-02-28 Graham Kells , Niall Moran , Dganit Meidan

A recent experiment by P. Bordia et al. (Periodically Driving a Many Body Localized Quantum System, Nat Phys, Jan 2017) has demonstrated that periodically modulating the potential of a localised many-body quantum system described by the…

Quantum Physics · Physics 2018-07-31 Donato Romito , Carlos Lobo , Alessio Recati

Localized dissipative structures (LDS) have been predicted to display a rich array of instabilities, yet systematic experimental studies have remained scarce. We have used a synchronously-driven optical fiber ring resonator to…

We study a two-dimensional fermionic QFT used to model 1D strongly correlated electrons in the presence of a time-dependent impurity that drives the system out of equilibrium. In contrast to previous investigations, we consider a dynamic…

Strongly Correlated Electrons · Physics 2009-11-10 Carlos M. Naón , Mariano J. Salvay , Marta L. Trobo

We study the ergodic properties of excited states in a model of interacting fermions in quasi-one-dimensional chains subjected to a random vector potential. In the noninteracting limit, we show that arbitrarily small values of this complex…

Quantum Gases · Physics 2016-11-23 Chen Cheng , Rubem Mondaini

We study Anderson localization in a one-dimensional disordered system with long-range correlated hopping decaying as $1/r^{a}$ with complex hopping amplitudes that break time-reversal symmetry in a tunable fashion by varying their argument.…

Disordered Systems and Neural Networks · Physics 2026-04-03 Bikram Pain , Sthitadhi Roy , Jens H. Bardarson , Ivan M. Khaymovich

Using the density matrix renormalization group algorithm, we investigate the lattice model for spinless fermions in one dimension in the presence of a strong interaction and disorder. The phase sensitivity of the ground state energy is…

Strongly Correlated Electrons · Physics 2009-10-30 P. Schmitteckert , T. Schulze , C. Schuster , P. Schwab , U. Eckern

While second-order phase transitions always cause strong non-local fluctuations, their effect on spectral properties crucially depends on the dimensionality. For the important case of three dimensions, we show that the electron self-energy…

Strongly Correlated Electrons · Physics 2015-03-18 T. Schäfer , A. Toschi , Jan M. Tomczak

Reentrant localization (RL), a recently prominent phenomenon, traditionally links to the interplay of staggered correlated disorder and hopping dimerization, as indicated by prior research. Contrary to this paradigm, our present study…

Disordered Systems and Neural Networks · Physics 2025-02-05 Sudin Ganguly , Sourav Chattopadhyay , Kallol Mondal , Santanu K. Maiti

Spatially localized, time-periodic structures are common in pattern-forming systems, appearing in fluid mechanics, chemical reactions, and granular media. We examine the existence of oscillatory localized states in a PDE model with single…

Dynamical Systems · Mathematics 2018-05-29 A S Alnahdi , J Niesen , A M Rucklidge , T Wagenknecht