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We consider the steepest entropy ascent (SEA) ansatz to describe the non-linear thermodynamic evolution of a quantum system. Recently this principle has been dubbed the fourth law of thermodynamics (Beretta Gian Paolo. 2020 The fourth law…

量子物理 · 物理学 2022-08-17 Rohit Kishan Ray

The Steepest Entropy Ascent (SEA) ansatz, recently recognized as the fourth law of thermodynamics, governs the irreversible evolution of a system from a non-equilibrium state toward a unique maximum-entropy equilibrium. SEA builds upon the…

量子物理 · 物理学 2025-08-21 Rohit Kishan Ray

By suitable reformulations, we cast the mathematical frameworks of several well-known different approaches to the description of non-equilibrium dynamics into a unified formulation, which extends to such frameworks the concept of Steepest…

统计力学 · 物理学 2014-10-14 Gian Paolo Beretta

Steepest-entropy-ascent quantum thermodynamics, or SEAQT, is a unified approach of quantum mechanics and thermodynamics that avoids many of the inconsistencies that can arise between the two theories. Given a set of energy levels, i.e.,…

材料科学 · 物理学 2019-07-26 Ryo Yamada , Michael R. von Spakovsky , William T. Reynolds

We consider the dynamical properties of dissipative continuous-time quantum walks on directed graphs. Using a large-deviation approach we construct a thermodynamic formalism allowing us to define a dynamical order parameter, and to identify…

量子物理 · 物理学 2012-10-04 Silvano Garnerone

A quantum dissipation theory is formulated in terms of hierarchically coupled equations of motion for an arbitrary electronic system coupled with grand canonical Fermion bath ensembles. The theoretical construction starts with the…

介观与纳米尺度物理 · 物理学 2011-03-17 Jinshuang Jin , Xiao Zheng , YiJing Yan

This paper presents a nonequilibrium thermodynamic model for the relaxation of a local, isolated system in nonequilibrium using the principle of steepest entropy ascent (SEA), which can be expressed as a variational principle in…

统计力学 · 物理学 2016-09-21 Guanchen Li , Michael R. von Spakovsky

By suitable reformulations, we review the mathematical frameworks of six different approaches to the description of non-equilibrium dynamics with the purpose to set up a unified formulation of the Maximum Entropy Production (MEP) principle…

统计力学 · 物理学 2013-06-27 Gian Paolo Beretta

A nonperturbative theory is developed, aiming at an exact and efficient evaluation of a general quantum system interacting with arbitrary bath environment at any temperature and in the presence of arbitrary time-dependent external fields.…

统计力学 · 物理学 2007-05-23 Rui-Xue Xu , YiJing Yan

In this letter, we introduce a novel method for investigating dissipation (gain) and thermalization in an open quantum system. In this method, the quantum system is coupled linearly with a copy of itself or with another system described by…

We simulate dynamics of many-particle systems of bosons and fermions using discrete time quantum walks on lattices. We present a computational proof of a behavior of the simulated systems similar to the one observed in Hamiltonian dynamics…

量子物理 · 物理学 2017-04-03 Dibwe Pierrot Musumbu , Maria Przybylska , Andrzej J. Maciejewski

We extend the non-Hermitian one-dimensional quantum walk model [Phys. Rev. Lett. 102, 065703 (2009)] by taking the dephasing effect into account. We prove that the feature of topological transition does not change even when dephasing…

量子物理 · 物理学 2017-03-28 Yizhou Huang , Zhang-qi Yin , W. L. Yang

By reformulating the Steepest-Entropy-Ascent (SEA) dynamical model for non-equilibrium thermodynamics in the mathematical language of Differential Geometry, we compare it with the primitive formulation of the GENERIC model and discuss the…

统计力学 · 物理学 2015-04-29 Alberto Montefusco , Francesco Consonni , Gian Paolo Beretta

We consider to what extent quantum walks can constitute models of thermalization, analogously to how classical random walks can be models for classical thermalization. In a quantum walk over a graph, a walker moves in a superposition of…

量子物理 · 物理学 2024-06-03 Shyam Dhamapurkar , Oscar Dahlsten

A distinctive feature of non-Hermitian systems is the skin effect, which has attracted widespread attention in recent studies. Quantum walks provide a powerful platform for exploring the underlying mechanisms of the non-Hermitian skin…

量子物理 · 物理学 2025-08-25 Ding Cheng , Yi Li , Hao Zhao , Haijun Kang , Cui Kong , Jiguo Wang , Feng Mei , Chuanjia Shan , Jibing Liu

Steepest-Entropy-Ascent Quantum Thermodynamics (SEAQT) provides a general framework for the description of non-equilibrium phenomena at any level, particularly the atomistic one. This theory and its dynamical postulate are used here to…

化学物理 · 物理学 2017-05-03 Gian Paolo Beretta , Michael von Spakovsky

Motivated by the need for precise, energy-efficient, and experimentally realistic quantum control protocols, we investigate the thermodynamic cost of performing quantum step-equilibration processes under the influence of classical…

量子物理 · 物理学 2026-05-07 Theodore McKeever , Harry J. D. Miller , Ahsan Nazir

A hierarchical equations of motion formalism for a quantum dissipation system in a grand canonical bath ensemble surrounding is constructed, on the basis of the calculus-on-path-integral algorithm, together with the parametrization of…

统计力学 · 物理学 2009-11-11 Jinshuang Jin , Sven Welack , JunYan Luo , Xin-Qi Li , Ping Cui , Rui-Xue Xu , YiJing Yan

This dissertation presents investigations on dynamics of discrete-time quantum walk and some of its applications. Quantum walks has been exploited as an useful tool for quantum algorithms in quantum computing. Beyond quantum computational…

量子物理 · 物理学 2010-06-25 C. M. Chandrashekar

An open quantum walk formalism for dissipative quantum computing is presented. The approach is illustrated with the examples of the Toffoli gate and the Quantum Fourier Transform for 3 and 4 qubits. It is shown that the algorithms based on…

量子物理 · 物理学 2014-01-28 I. Sinayskiy , F. Petruccione
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