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We consider the non-equilibrium evolution in the spin-1/2 XXZ Heisenberg chain for fixed magnetization after a local quantum quench. This model is equivalent to interacting spinless fermions. Initially an infinite magnetic field is applied…

Strongly Correlated Electrons · Physics 2012-02-20 Martin Ganahl , Elias Rabel , Fabian H. L. Essler , Hans Gerd Evertz

We investigate the dynamics of a critical XXZ spin-1/2 chain prepared in an inhomogeneous initial state with different magnetizations on the left and right halves. We simulate the real-time evolution using the time-evolving block decimation…

Strongly Correlated Electrons · Physics 2013-12-16 Thiago Sabetta , Grégoire Misguich

Using time-dependent density-matrix renormalization group, we study the time evolution of electronic wave packets in the one-dimensional extended Hubbard model with on-site and nearest neighbor repulsion, U and V, respectively. As expected,…

Strongly Correlated Electrons · Physics 2014-06-27 K. A. Al-Hassanieh , Julian Rincon , E. Dagotto , G. Alvarez

It is shown that the infinite random Heisenberg XXZ spin-$\frac12$ chain exhibits localization phenomena, such as spectral, eigenstate, and weak dynamical localization, in an arbitrary (but fixed) energy interval in a non-trivial region of…

Mathematical Physics · Physics 2025-12-01 Alexander Elgart , Abel Klein

We study time dynamics of 1D disordered Heisenberg spin-1/2 chain focusing on a regime of large system sizes and a long time evolution. This regime is relevant for observation of many-body localization (MBL), a phenomenon that is expected…

Disordered Systems and Neural Networks · Physics 2022-08-02 Piotr Sierant , Jakub Zakrzewski

The density-matrix renormalization-group technique is used to calculate the spin correlation functions <S^x_jS^x_k> and <S^z_jS^z_k> of the one-dimensional S=1/2 XXZ model in the gapless regime. The numerical results for open chains of 200…

Statistical Mechanics · Physics 2009-10-31 T. Hikihara , A. Furusaki

The dynamics of entanglement in the one-dimensional spin-1/2 anisotropic XXZ model is studied using the quantum renormalization-group method. We obtain the analytical expression of the concurrence, for two different quenching methods, it is…

Statistical Mechanics · Physics 2020-04-09 Han Zhang , Yu-Liang Xu , Rong-Tao Zhang , Zhe Wang , Pan-Pan Fang , Zhong-Qiang Liu , Xiang-Mu Kong

We analyze transport of local magnetization and develop schemes to control transport behavior in finite spin-1/2 Heisenberg chains and spin-1/2 Heisenberg two-leg ladders at zero temperature. By adjusting parameters in the Hamiltonians,…

Statistical Mechanics · Physics 2009-11-13 L. F. Santos

The dynamics of a spin-1/2 particle coupled to a nuclear spin bath through an isotropic Heisenberg interaction is studied, as a model for the spin decoherence in quantum dots. The time-dependent polarization of the central spin is…

Quantum Physics · Physics 2007-06-28 D. D. Bhaktavatsala Rao , V. Ravishankar , V. Subrahmanyam

We study the time dynamics of a single boson coupled to a bath of two-level systems (spins 1/2) with different excitation energies, described by an inhomogeneous Dicke model. Analyzing the time-dependent Schrodinger equation exactly we find…

Strongly Correlated Electrons · Physics 2015-05-13 Oleksandr Tsyplyatyev , Daniel Loss

We develop a semi-analytical approach beyond the Born-Markov approximation to study the quench dynamics of the spin-boson model in the strong-coupling regime ($\alpha\leq1/2$) for the Ohmic bath. The basic idea in our approach is to write…

Quantum Physics · Physics 2016-07-15 Hassan Shapourian

We study the one-dimensional quantum Heisenberg ferromagnet with exchange couplings exhibiting long-range correlated disorder with power spectrum proportional to $1/k^{\alpha}$, where $k$ is the wave-vector of the modulations on the random…

Statistical Mechanics · Physics 2009-11-07 F. A. B. F. de Moura , M. D. Coutinho-Filho , E. P. Raposo , M. L. Lyra

We investigate the entanglement spreading in the anisotropic spin-1/2 Heisenberg (XXZ) chain after a geometric quench. This corresponds to a sudden change of the geometry of the chain or, in the equivalent language of interacting fermions…

Strongly Correlated Electrons · Physics 2014-08-27 Vincenzo Alba , Fabian Heidrich-Meisner

We apply the time-dependent local-spin-density approximation as general theory to describe ground states and spin-density oscillations in the linear response regime of two-dimensional nanostructures of arbitrary shape. For this purpose, a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Antonio Puente , Llorens Serra

The transport of magnetization is analyzed for the classical Heisenberg chain at and especially above the isotropic point. To this end, the Hamiltonian equations of motion are solved numerically for initial states realizing harmonic-like…

Statistical Mechanics · Physics 2012-03-15 Robin Steinigeweg

Quantum Heisenberg spin chains with random couplings and spin sizes are studied using a real-space renormalization group technique. These systems belong to a new universality class of disordered quantum spin systems realized in {\it e.g.}…

Condensed Matter · Physics 2009-10-28 E. Westerberg , A. Furusaki , M. Sigrist , P. A. Lee

Kinetic equations are often appropriate to model the energy density of high frequency waves propagating in highly heterogeneous media. The limitations of the kinetic model are quantified by the statistical instability of the wave energy…

Mathematical Physics · Physics 2007-11-27 Guillaume Bal , Olivier Pinaud

Combining quantum Monte Carlo simulations with the maximum entropy method, we study the dynamical structure factor $S(k,\omega)$ of spin-1/2 antiferromagnetic Heisenberg chains with various random bond distributions. We emphasize the…

Strongly Correlated Electrons · Physics 2011-02-03 Zhaoxin Xu , Heping Ying , Xin Wan

We investigate the propagation dynamics of initially localized excitations in spin-1/2 Heisenberg ladders. We consider initial states with two overturned spins, either on neighboring sites on the same leg or on the two sites of a single…

Quantum Gases · Physics 2017-05-16 Carlo B. Krimphoff , Masudul Haque , Andreas M. Läuchli

We introduce a class of variational states to study ground state properties and real-time dynamics in (2+1)-dimensional compact QED. These are based on complex Gaussian states which are made periodic in order to account for the compact…

High Energy Physics - Theory · Physics 2020-11-19 Julian Bender , Patrick Emonts , Erez Zohar , J. Ignacio Cirac