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We exploit the knowledge of the entanglement spectrum in the ground state of the gapped XXZ spin chain to derive asymptotic exact results for the full counting statistics of the transverse magnetisation in a spin block of length. We found…

Statistical Mechanics · Physics 2020-05-28 Pasquale Calabrese , Mario Collura , Giuseppe Di Giulio , Sara Murciano

We study the relation between the recently defined localizable entanglement and generalized correlations in quantum spin systems. Differently from the current belief, the localizable entanglement is always given by the average of a…

Strongly Correlated Electrons · Physics 2007-05-23 L. Campos Venuti , M. Roncaglia

We extend the picture of a transfer of nuclear spin-1/2 polarization along a homogeneous one-dimensional chain with the XY-Hamiltonian to the inhomogeneous chain with alternating nearest neighbour couplings and alternating Larmor…

Statistical Mechanics · Physics 2009-11-10 E. B. Fel'dman , M. G. Rudavets

We demonstrate the role of measurement back-action of a coherent spin environment on the dynamics of a spin (qubit) coupled to it, by inducing non-classical (Quantum Random Walk like) statistics on its measurement trajectory. We show how…

Quantum Physics · Physics 2019-08-14 D. D. Bhaktavatsala Rao , Sen Yang , Stefan Jesenski , Florian Kaiser , Jörg Wrachtrup

We study the non-equilibrium transport properties of a highly anisotropic two-dimensional lattice of spin-1/2 particles governed by a Heisenberg XXZ Hamiltonian. The anisotropy of the lattice allows us to approximate the system at finite…

Strongly Correlated Electrons · Physics 2016-11-22 J. J. Mendoza-Arenas , M. T. Mitchison , S. R. Clark , J. Prior , D. Jaksch , M. B. Plenio

We study the full counting statistics of electric current to several drain terminals with spin-dependent entrance conductances. We show that the statistics of charge transfers can be interpreted in terms of single electrons and spin-singlet…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Antonio Di Lorenzo , Yuli V. Nazarov

We describe a numerical algorithm for approximating the equilibrium-reduced density matrix and the effective (mean force) Hamiltonian for a set of system spins coupled strongly to a set of bath spins when the total system (system+bath) is…

Quantum Physics · Physics 2023-01-25 Tyler Chen , Yu-Chen Cheng

In this review, we discuss the decoherence and thermalization of a quantum spin system interacting with a spin bath environment, by numerically solving the time-dependent Schr\"{o}dinger equation of the whole system. The effects of the…

Quantum Physics · Physics 2010-05-27 Shengjun Yuan

Open quantum systems have complex energy eigenvalues which are expected to follow non-Hermitian random matrix statistics when chaotic, or 2-dimensional (2d) Poisson statistics when integrable. We investigate the spectral properties of a…

Statistical Mechanics · Physics 2025-01-28 G. Akemann , F. Balducci , A. Chenu , P. Päßler , F. Roccati , R. Shir

We simulate the dynamics of varying density quasi-two-dimensional spin ensembles in solid-state systems, focusing on the nitrogen-vacancy centers in diamond. We consider the effects of various control sequences on the averaged dynamics of…

Quantum Physics · Physics 2018-09-25 D. Farfurnik , Y. Horowicz , N. Bar-Gill

We consider the time evolution after quantum quenches in the spin-1/2 Heisenberg XXZ quantum spin chain with Ising-like anisotropy. The time evolution of short-distance spin-spin correlation functions is studied by numerical tensor network…

Statistical Mechanics · Physics 2014-03-05 Maurizio Fagotti , Mario Collura , Fabian H. L. Essler , Pasquale Calabrese

We use the "generalized hierarchical equation of motion" proposed in Paper I to study decoherence in a system coupled to a spin bath. The present methodology allows a systematic incorporation of higher order anharmonic effects of the bath…

Chemical Physics · Physics 2018-01-17 Chang-Yu Hsieh , Jianshu Cao

Recent experimental achievements in controlling ultracold gases in optical lattices open a new perspective on quantum many-body physics. In these experimental setups it is possible to study coherent time evolution of isolated quantum…

Quantum Gases · Physics 2010-06-04 Peter Barmettler , Matthias Punk , Vladimir Gritsev , Eugene Demler , Ehud Altman

The free energy and correlation lengths of the spin-1/2 $XYZ$ chain are studied at finite temperature. We use the quantum transfer matrix approach and derive non-linear integral equations for all eigenvalues. Analytic results are presented…

Condensed Matter · Physics 2009-10-22 Andreas Klümper

We study the entanglement and work statistics in a driven two-qubit system. The regulation of periodic driving has much more versatility and universality in contrast to reservoir engineering in static systems. We found the quasi-steady…

Quantum Physics · Physics 2023-01-04 He Wang , Jin Wang

Symmetries and quantum anomalies serve as powerful tools for constraining complicated quantum many-body systems, offering valuable insights into low-energy characteristics based on their ultraviolet structure. Nevertheless, their…

Strongly Correlated Electrons · Physics 2024-09-10 Yunlong Zang , Yingfei Gu , Shenghan Jiang

We study a model of two weakly coupled isotropic spin-1/2 Heisenberg chains with an antiferromagnetic coupling along the chains. It is shown that the system always has a spectral gap. For the case of identical chains the model in the…

Condensed Matter · Physics 2009-10-28 D. G. Shelton , A. A. Nersesyan , A. M. Tsvelik

Using exact diagonalization techniques we study the dynamical response of the anisotropic disordered Heisenberg model for systems of S=1/2 spins with infinite range random exchange interactions at temperature T=0. The model can be…

Disordered Systems and Neural Networks · Physics 2007-05-23 Liliana Arrachea , Marcelo J. Rozenberg

We examine the dynamics of nearest-neighbor bipartite concurrence and total correlations in the spin-1/2 $XXZ$ model with random fields. We show, starting from factorized random initial states, that the concurrence can suffer entanglement…

Statistical Mechanics · Physics 2017-08-08 Steve Campbell , Matthew J. M. Power , Gabriele De Chiara

We address the non-binary coupling of identical angular momenta based upon the representation theory for the symmetric group. A correspondence is pointed out between the complete set of commuting operators and the reference-frame-free…

Quantum Physics · Physics 2015-06-04 Jun Suzuki , Berthold-Georg Englert
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