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The rate of entropy production in a classical dynamical system is characterized by the Kolmogorov-Sinai entropy rate $h_{\mathrm{KS}}$ given by the sum of all positive Lyapunov exponents of the system. We prove a quantum version of this…

High Energy Physics - Theory · Physics 2018-03-15 Eugenio Bianchi , Lucas Hackl , Nelson Yokomizo

In this work, a self-consistent thermodynamic approach to micromagnetism is presented. The magnetic degrees of freedom are modeled using the Landau-Lifshitz-Baryakhtar theory, that separates the different contributions to the magnetic…

Materials Science · Physics 2014-10-29 Mykola Dvornik , Arne Vansteenkiste , Bartel Van Waeyenberge

The significant experimental advances of the last few decades in dealing with the interaction of spin currents and nanomagnets, at the device level, has allowed envisioning a broad class of devices that propose to implement information…

Mesoscale and Nanoscale Physics · Physics 2014-05-28 Srikant Srinivasan , Vinh Diep , Behtash Behin-Aein , Angik Sarkar , Supriyo Datta

We conclusively show that the entanglement- and the mutual information-based measures of quantum non-Markovianity are inequivalent. To this aim, we first analytically solve the optimization problem in the definition of the…

Quantum Physics · Physics 2016-09-07 Alaor Cervati Neto , Göktuğ Karpat , Felipe Fernandes Fanchini

We revisit the problem of spontaneous magnetization of the one-dimensional Ising model from the Landau free energy perspective. To this end, we define and calculate the density of states of the one-dimensional Ising model following a…

Statistical Mechanics · Physics 2026-05-29 Z. F. Zheng , R. K. Lin , J. M. Zhang

We investigate the static and the dynamical behavior of localizable entanglement and its lower bounds on nontrivial loops of topological quantum codes with parallel magnetic field. Exploiting the connection between the stabilizer states and…

Quantum Physics · Physics 2022-06-03 Harikrishnan K. J. , Amit Kumar Pal

The Landau-Lifshitz-Gilbert equation for rigid and saturated ferromagnets is derived using a two-continuum model constructed by H.F. Tiersten for elastic and saturated ferromagnets. The relevant basic laws of physics are applied…

Materials Science · Physics 2023-05-30 Jiashi Yang

In non-equilibrium statistical physics models, the invariant measure $\mu$ of the process does not have an explicit density. In particular the adjoint $L^*$ in $L^2(\mu)$ of the generator $L$ is unknown and many classical techniques fail in…

Analysis of PDEs · Mathematics 2025-01-31 Pierre Monmarché

The second law of thermodynamics states that entropy production cannot be negative. Recent developments concerning uncertainty relations in stochastic thermodynamics, such as thermodynamic uncertainty relations and speed limits, have…

Statistical Mechanics · Physics 2023-10-09 Tomohiro Nishiyama , Yoshihiko Hasegawa

In view of the recent quest for well-behaved nonlinear extensions of the traditional Schroedinger-von Neumann unitary dynamics that could provide fundamental explanations of recent experimental evidence of loss of quantum coherence at the…

Quantum Physics · Physics 2010-11-13 Gian-Paolo Beretta

We present an ultrafast thermodynamics framework to model heat generation and entropy production in laser-driven ferromagnetic systems. By establishing a connection between the magnetic field strength of the laser pulse and magnetization…

Statistical Mechanics · Physics 2025-04-09 Finja Tietjen , R. Matthias Geilhufe

We show that the Schnakenberg's entropy production rate in a master equation is lower bounded by a function of the weight of the Markov graph, here defined as the sum of the absolute values of probability currents over the edges. The result…

Statistical Mechanics · Physics 2022-09-14 Domingos S. P. Salazar

We consider an anisotropic spin-1/2 XY Heisenberg chain in the presence of a transverse magnetic field. Selecting the nearest neighbor pair spins as an open quantum system, the rest of the chain plays the role of the structured environment.…

Statistical Mechanics · Physics 2019-10-30 Z. Saghafi , S. Mahdavifar , E. Hosseini Lapasar

Logical qubits encoded in quantum error correcting codes can exhibit non-Markovian dynamical evolution, even when the underlying physical noise is Markovian. To understand this emergent non-Markovianity, we define a Markovianity condition…

Quantum Physics · Physics 2026-02-23 Jalan A. Ziyad , Robin Blume-Kohout , Kenneth Rudinger

We introduce a generalized approach to characterize the non-Markovianity of quantum dynamical maps via breakdown of monotonicity of thermodynamic functions. By adopting an entropy-based formulation of quantum thermodynamics, we use the…

Quantum Physics · Physics 2023-03-28 J. M. Z. Choquehuanca , F. M. de Paula , M. S. Sarandy

The Landau-Lifshitz equation for the magnetization dynamics of a single-domain magnetic system is solved using the methods of self-organization. The description takes into account the torque due to spin transfer. The potential energy of the…

Materials Science · Physics 2007-05-23 P. M. Gorley , P. P. Horley , V. K. Dugaev , J. Barnas , W. Dobrowolski

In this paper we present a detailed critical study of several recently proposed non-Markovianity measures. We analyse their properties for single qubit and two-qubit systems in both pure-dephasing and dissipative scenarios. More…

Quantum Physics · Physics 2016-09-20 C. Addis , B. Bylicka , D. Chruściński , S. Maniscalco

A generalized semiclassical quantization condition for cyclotron orbits was recently proposed by Gao and Niu \cite{Gao}, that goes beyond the Onsager relation \cite{Onsager}. In addition to the integrated density of states, it formally…

Mesoscale and Nanoscale Physics · Physics 2018-05-15 J. N. Fuchs , F. Piéchon , G. Montambaux

A study of "high temperature" entangled states in a system of two parametrically coupled quantum oscillators placed into independent thermal baths is performed taking into account partially coherent parametric pump. Processes in an open…

Quantum Physics · Physics 2017-04-05 V. O. Martynov , V. A. Mironov , L. A. Smirnov

Magnetization dynamics in magnetic materials is modeled by the Landau-Lifshitz-Gilbert (LLG) equation. In the LLG equation, the length of magnetization is conserved and the system energy is dissipative. Implicit and semi-implicit schemes…

Computational Physics · Physics 2021-06-15 Yifei Sun , Jingrun Chen , Rui Du , Cheng Wang
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