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We discuss new approach to mathematical foundations of quantum theory, which is completely independent of Hilbert spaces and measure spaces. New kinematics is defined by non-linear geometry of spaces of integrals on abstract non-commutative…

Quantum Physics · Physics 2011-12-05 Ryszard Paweł Kostecki

We consider a non-interacting one-dimensional gas accelerated by a constant and uniform external field. The energy absorbed from the field is transferred via elastic collisions to a bath of scattering obstacles. At gas-obstacle encounters…

Statistical Mechanics · Physics 2009-11-11 Jaroslaw Piasecki , Rodrigo Soto

Following on from our recent work, we investigate a stochastic approach to non-equilibrium quantum spin systems. We show how the method can be applied to a variety of physical observables and for different initial conditions. We provide…

Statistical Mechanics · Physics 2020-01-24 S. De Nicola , B. Doyon , M. J. Bhaseen

Closed quantum systems far from thermal equilibrium can show universal dynamics near attractor solutions, known as non-thermal fixed points, generically in the form of scaling behavior in space and time. A systematic classification and…

Quantum Gases · Physics 2025-04-21 Aleksandr N. Mikheev , Ido Siovitz , Thomas Gasenzer

The theoretical description of strongly correlated quantum systems out of equilibrium presents several challenges and a number of open questions persist. In this paper we focus on nonlinear electronic transport through a quantum dot…

Strongly Correlated Electrons · Physics 2012-11-27 Prasenjit Dutt , Jens Koch , J. E. Han , Karyn Le Hur

Thermodynamic principles are often deceptively simple and yet surprisingly powerful. We show how a simple rule, such as the net flow of energy in and out of a moving atom under nonequilibrium steady state condition, can expose the…

Quantum Physics · Physics 2020-11-30 Daniel Reiche , Francesco Intravaia , Jen-Tsung Hsiang , Kurt Busch , Bei-Lok Hu

Theory of non-equilibrium Green's function (NGF) provides a practical framework for studying quantum many-body systems out of equilibrium. Extending the previous mean field approach developed for nuclear systems in one dimension with NGF,…

Nuclear Theory · Physics 2020-08-26 Hao Lin , Hossein Mahzoon , Arnau Rios , Pawel Danielewicz

It is shown that the most important feature of Non-Equilibrium Thermodynamics is not the entropy production, but the organization of the currents in order to flow. This is also needed to obtain the maximum entropy in the equilibrium state,…

Statistical Mechanics · Physics 2015-03-30 E. G. D. Cohen

A precise understanding of the influence of a quantum system's environment on its dynamics, which is at the heart of the theory of open quantum systems, is crucial for further progress in the development of controllable large-scale quantum…

Quantum Physics · Physics 2022-10-10 I. A. Luchnikov , E. O. Kiktenko , M. A. Gavreev , H. Ouerdane , S. N. Filippov , A. K. Fedorov

By quantising the gravitational dynamics, space and time are usually forced to play fundamentally different roles. This raises the question whether physically relevent configurations could also exist which would not admit…

General Relativity and Quantum Cosmology · Physics 2015-07-16 Pierre A. Mandrin

Non-relativistic quantum theory is derived from information codified into an appropriate statistical model. The basic assumption is that there is an irreducible uncertainty in the location of particles: positions constitute a configuration…

Quantum Physics · Physics 2015-05-13 Ariel Caticha

Understanding out-of-equilibrium quantum dynamics is a critical outstanding problem, with key questions regarding characterizing adiabaticity for applications in quantum technologies. We show how the metric-space approach to quantum…

Quantum Physics · Physics 2018-07-11 A. H. Skelt , R. W. Godby , I. D'Amico

We take the perspective of open quantum systems and examine from their nonequilibrium dynamics the conditions when the physical quantities, their relations and the laws of thermodynamics become well defined and viable for quantum many body…

Quantum Physics · Physics 2018-01-30 Jen-Tsung Hsiang , C. H. Chou , Y. Subaşi , B. L. Hu

Understanding thermodynamics far from equilibrium at the quantum scale remains a fundamental challenge, particularly in the presence of quantum coherence. Here we develop a first-principles framework for nonequilibrium quantum…

Quantum Physics · Physics 2026-02-11 Md Manirul Ali , Po-Wen Chen

In quantum many-body theory no generic microscopic principle at the origin of complex dynamics is known. Quite opposed, in classical mechanics the theory of non-linear dynamics provides a detailed framework for the distinction between…

Mathematical Physics · Physics 2013-11-06 Peter Barmettler , Davide Fioretto , Vladimir Gritsev

Symmetries and transformations are explored in the framework of entropic quantum dynamics. Two conditions arise that are required for any transformation to qualify as a symmetry. The heart of this work lies in the application of these…

Quantum Physics · Physics 2015-05-20 David T. Johnson , Ariel Caticha

The dimensionality of a thermometer is key in the design of quantum thermometry schemes. In general, the phenomenology that is typical of finite-dimensional quantum thermometry does not apply to infinite dimensional ones. We analyse the…

Quantum Physics · Physics 2020-09-29 Luca Mancino , Marco G. Genoni , Marco Barbieri , Mauro Paternostro

Concepts of quantum open systems and ideas of correlation dynamics in nonequilibrium statistical mechanics, as well as methods of closed-time-path effective action and influence functional in quantum field theory can be usefully applied for…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. L. Hu

Entropy in nonequilibrium statistical mechanics is investigated theoretically so as to extend the well-established equilibrium framework to open nonequilibrium systems. We first derive a microscopic expression of nonequilibrium entropy for…

Statistical Mechanics · Physics 2007-06-13 Takafumi Kita

The macroscopic hydrodynamic equations are derived for many-body systems in the local-equilibrium approach, using the Schr\"odinger picture of quantum mechanics. In this approach, statistical operators are defined in terms of microscopic…

Statistical Mechanics · Physics 2023-01-18 Joël Mabillard , Pierre Gaspard