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An improved Hamiltonian constraint operator is introduced in loop quantum cosmology. Quantum dynamics of the spatially flat, isotropic model with a massless scalar field is then studied in detail using analytical and numerical methods. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Abhay Ashtekar , Tomasz Pawlowski , Parampreet Singh

We consider the initial value problem of the compressible Navier-Stokes-Korteweg equations in the whole space $\mathbb{R}^d$ ($d \ge 2$). The purposes of this paper are to obtain the global-in-time solution around the constant equilibrium…

Analysis of PDEs · Mathematics 2025-06-03 Takayuki Kobayashi , Ryosuke Nakasato

The description of an open quantum system's decay almost always requires several approximations as to remain tractable. Here, we first revisit the meaning, domain and seeming contradictions of a few of the most widely used of such…

Quantum Physics · Physics 2021-06-02 Juliane Klatt , Chahan Michael Kropf , Stefan Yoshi Buhmann

Classical polarizable approaches have become the gold standard for simulating complex systems and processes in the condensed phase. These methods describe intrinsically dissipative polarizable media, requiring a formal definition within the…

Direct numerical simulations are used to investigate the individual dynamics of large spherical particles suspended in a developed homogeneous turbulent flow. A definition of the direction of the particle motion relative to the surrounding…

Fluid Dynamics · Physics 2015-06-16 Mamadou Cisse , Holger Homann , Jeremie Bec

Quantum canonical transformations corresponding to time-dependent diffeomorphisms of the configuration space are studied. A special class of these transformations which correspond to time-dependent dilatations is used to identify a…

Quantum Physics · Physics 2008-11-26 Ali Mostafazadeh

The prototypical Schr\"{o}dinger cat state, i.e., an initial state corresponding to two widely separated Gaussian wave packets, is considered. The decoherence time is calculated solely within the framework of elementary quantum mechanics…

Quantum Physics · Physics 2009-11-10 G. W. Ford , R. F. O'Connell

We investigate chains of interacting spinless fermions subject to a finite external field $F$ (also called Stark chains) and focus on the regime where the charge thermalization follows the subdiffusive hydrodynamics. First, we study reduced…

Strongly Correlated Electrons · Physics 2025-01-09 Peter Prelovšek , Sourav Nandy , Marcin Mierzejewski

The flow of quantum information in local dephasing channels is analyzed over short and long times in case the structured reservoirs of frequency modes exhibit a spectral gap in the density of modes over low frequencies. The presence of the…

Quantum Physics · Physics 2017-06-06 Filippo Giraldi

We study a general class of translation invariant quantum Markov evolutions for a particle on $\bbZ^d$. The evolution consists of free flow, interrupted by scattering events. We assume spatial locality of the scattering events and…

Mathematical Physics · Physics 2015-05-13 Jeremy Clark , Wojciech De Roeck , Christian Maes

Except for the universe, all quantum systems are open, and according to quantum state diffusion theory, many systems localize to wave packets in the neighborhood of phase space points. This is due to decoherence from the interaction with…

Quantum Physics · Physics 2008-11-26 Todd A. Brun , Ian C. Percival , Rüdiger Schack

We show, by using direct numerical simulations and theory, how, by increasing the order of dissipativity ($\alpha$) in equations of hydrodynamics, there is a transition from a dissipative to a conservative system. This remarkable result,…

Chaotic Dynamics · Physics 2015-06-19 Debarghya Banerjee , Samriddhi Sankar Ray

A freely falling stream of weakly cohesive granular particles is modeled and analysed with help of event driven simulations and continuum hydrodynamics. The former show a breakup of the stream into droplets, whose size is measured as a…

Soft Condensed Matter · Physics 2015-06-04 Stephan Ulrich , Annette Zippelius

We suggest a new approach for describing quantum dissipation in a small systems for which the system-plus-reservoir approach is not relevant. We first analyze the fact that equilibrium thermodynamics may reveal the existence of an…

Statistical Mechanics · Physics 2010-05-04 J. P. Badiali

Single component nonrelativistic dissipative fluids are treated independently of reference frames and flow-frames. First the basic fields and their balances, then the related thermodynamic relations and the entropy production are calculated…

Fluid Dynamics · Physics 2017-04-11 Péter Ván

The velocity relaxation of an impulsively forced spherical particle in a fluid confined by two parallel plane walls is studied using a direct numerical simulation approach. During the relaxation process, the momentum of the particle is…

Fluid Dynamics · Physics 2015-06-15 Rei Tatsumi , Ryoichi Yamamoto

We develop an effective field theory for dissipative fluids which governs the dynamics of long-lived gapless modes associated with conserved quantities. The resulting theory gives a path integral formulation of fluctuating hydrodynamics…

High Energy Physics - Theory · Physics 2017-01-30 Michael Crossley , Paolo Glorioso , Hong Liu

In recent years, there has been intense attention on the constraints posed by quantum mechanics on the dynamics of the correlation at low temperatures, triggered by the postulation and derivation of quantum bounds on the transport…

High Energy Physics - Theory · Physics 2022-04-20 Silvia Pappalardi , Laura Foini , Jorge Kurchan

We return to the description of the damped harmonic oscillator by means of a closed quantum theory with a general assessment of previous works, in particular the Bateman-Caldirola-Kanai model and a new model recently proposed by one of the…

Quantum Physics · Physics 2014-08-14 M. C. Baldiotti , R. Fresneda , D. M. Gitman

Quantum dissipation arises when a large system can be split in a quantum system and an environment where the energy of the former flows to. Understanding the effect of dissipation on quantum many-body systems is of particular importance due…

Strongly Correlated Electrons · Physics 2024-06-11 Zheng Yan , L. Pollet , Jie Lou , Xiaoqun Wang , Yan Chen , Zi Cai