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Classical simulations of high-temperature nuclear spin dynamics in solids are known to accurately predict relaxation for spin 1/2 lattices with a large number of interacting neighbors. Once the number of interacting neighbors becomes four…

Strongly Correlated Electrons · Physics 2019-02-20 Patrick Navez , Grigory A. Starkov , Boris V. Fine

Analytical solutions for the time-dependent autocorrelation function of the classical and quantum mechanical spin dimer with arbitrary spin are presented and compared. For large spin quantum numbers or high temperature the classical and the…

Statistical Mechanics · Physics 2009-10-31 D. Mentrup , J. Schnack , Marshall Luban

Quantum-classical transitions have long attracted much attention. We study such transitions in quantum spin-($j$,1/2) systems at thermal equilibrium. Unlike the previous work [Phys. Rev. A 73, 064302 (2006)], it is found that the threshold…

Quantum Physics · Physics 2025-10-15 M. A. Yurischev , E. I. Kuznetsova , Saeed Haddadi

A comparative study of pairwise quantum coherence, quantum and classical correlations is addressed for non-nearest spin pairs of the 1D Heisenberg spin-$\frac{1}{2}$ XX chain. Following the Jordan-Wigner mapping, we diagonalise the…

Quantum Physics · Physics 2019-01-07 Zakaria Mzaouali , Morad El Baz

We investigate pairwise quantum correlation as measured by the quantum discord as well as its classical counterpart in the thermodynamic limit of anisotropic XY spin-1/2 chains in a transverse magnetic field for both zero and finite…

Quantum Physics · Physics 2015-03-13 J. Maziero , H. C. Guzman , L. C. Celeri , M. S. Sarandy , R. M. Serra

In this paper we discuss the problem of splitting the total correlations for a bipartite quantum state described by the Von Neumann mutual information into classical and quantum parts. We propose a measure of the classical correlations as…

Quantum Physics · Physics 2009-11-07 S. Hamieh , J. Qi , D. Siminovitch , M. K. Ali

We investigate the difference between classical and quantum dynamics of coupled magnetic dipoles. We prove that in general the dynamics of the classical interaction Hamiltonian differs from the corresponding quantum model, regardless of the…

Quantum Physics · Physics 2009-11-07 G. J. Milburn , R. Laflamme , B. C. Sanders , E. Knill

We study the quantum correlation and classical correlation dynamics in a spin-boson model. For two different forms of spectral density, we obtain analytical results and show that the evolutions of both correlations depend closely on the…

Quantum Physics · Physics 2015-05-19 Rong-Chun Ge , Ming Gong , Chuan-Feng Li , Jin-Shi Xu , Guang-Can Guo

We consider a problem of description of quantum correlations and dispersions of subsystems of complex open systems. Based on our previous results we proposed a method to evaluate pure quantum contributions from total statistical…

Quantum Physics · Physics 2016-01-26 Illarion Dorofeyev

We investigate the spin dynamics of a dipole-coupled system by comparing a direct solution of the Schrodinger equation for quantum spins with simulations of classical spins. Although classical spins have long been used in microscopic spin…

Quantum Physics · Physics 2026-04-28 Victor Henner , Alexander Nepomnyashchy , Tatyana Belozerova

We provide a detailed comparison between the dynamics of high-temperature spatiotemporal correlation functions in quantum and classical spin models. In the quantum case, our large-scale numerics are based on the concept of quantum…

Statistical Mechanics · Physics 2022-12-01 Tjark Heitmann , Jonas Richter , Fengping Jin , Kristel Michielsen , Hans De Raedt , Robin Steinigeweg

Correlations between spacelike separated measurements on entangled quantum systems are stronger than any classical correlations and are at the heart of numerous quantum technologies. In practice, however, spacelike separation is often not…

Quantum Physics · Physics 2017-11-28 Martin Ringbauer , Rafael Chaves

The pair correlation function of a strongly interacting one-dimensional quantum dot is evaluated analytically within the framework of the spin coherent Luttinger liquid model. The influence of electron interactions and temperature on the…

Mesoscale and Nanoscale Physics · Physics 2013-09-12 N. Traverso Ziani , F. Cavaliere , E. Mariani , M. Sassetti

We analyze the out-of-equilibrium dynamics of a quantum particle coupled to local magnetic degrees of freedom that undergo a classical phase transition. Specifically, we consider a two-dimensional tight-binding model that interacts with a…

Disordered Systems and Neural Networks · Physics 2022-07-13 Giuseppe De Tomasi , Oliver Hart , Cecilie Glittum , Claudio Castelnovo

Recent results on particle momentum and spin correlations are discussed in view of the role played by the effects of quantum statistics, including multiboson and coherence phenomena, and final state interaction. Particularly, it is…

Nuclear Theory · Physics 2009-11-10 R. Lednicky

The correlation distance quantifies the statistical independence of two classical or quantum systems, via the distance from their joint state to the product of the marginal states. Tight lower bounds are given for the mutual information…

Quantum Physics · Physics 2013-09-23 Michael J. W. Hall

We calculate the time evolution of mean spin components and the squared I-concurrence of two coupled large spins S. As the initial conditions we take two cases: spin coherent states and uniform superposition states. For the spin coherent…

Quantum Physics · Physics 2012-11-22 V. E. Zobov

The results of space-like separated measurements are independent of distant measurement settings, a property one might call two-way no-signalling. In contrast, time-like separated measurements are only one-way no-signalling since the past…

Quantum Physics · Physics 2016-10-13 Stephen Brierley , Adrian Kosowski , Marcin Markiewicz , Tomasz Paterek , Anna Przysiezna

The total many-body correlations present in finite temperature classical spin systems are studied using the concept of mutual information. As opposed to zero-temperature quantum phase transitions, the total correlations are not maximal at…

Statistical Mechanics · Physics 2011-11-30 Johannes Wilms , Matthias Troyer , Frank Verstraete

The development and improvement of analytical methods for evaluating nonclassical correlations is one of the most important tasks in quantum information science. In this paper, we investigate a mixed spin-$(1/2,S)$ system with an arbitrary…

Quantum Physics · Physics 2025-06-06 Saeed Haddadi , Elena I. Kuznetsova , M. A. Yurischev
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