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In a recent paper, Buniy et al. have argued that a possible discretization of spacetime leads to an unavoidable discretization of the state space of quantum mechanics. In this paper, we show that this conclusion is not limited to quantum…

High Energy Physics - Theory · Physics 2009-03-17 Markus Mueller

Numerical simulations of turbulent flows at realistic Reynolds numbers generally rely on filtering out small scales from the Navier Stokes equations and modeling their impact through the Reynolds stress tensor ${\tau}_{ij}$. Traditional…

Fluid Dynamics · Physics 2026-01-28 Flavio Tuteri , Alexandros Alexakis , Sergio Chibbaro

Using a quantum field theoretic setting, we present evidence for dimensional reduction of any sub-volume of Minkowksi space. First, we show that correlation functions of a class of operators restricted to a sub-volume of D-dimensional…

High Energy Physics - Theory · Physics 2009-11-10 Ram Brustein , Amos Yarom

We numerically study the local stress distribution within athermal, isotropically stressed, mechanically stable, packings of bidisperse frictionless disks above the jamming transition in two dimensions. Considering the Fourier transform of…

Soft Condensed Matter · Physics 2017-09-07 Yegang Wu , Kamran Karimi , Craig E. Maloney , S. Teitel

It is argued here that the quantum computation of the vacuum pressure must take into account the contribution of zero-point oscillations of a rank-three gauge field. The field A_{\mu\nu\rho} possesses no radiative degrees of freedom, its…

High Energy Physics - Theory · Physics 2009-11-10 A. Aurilia , E. Spallucci

Quantum vacuum fluctuations of the electromagnetic field in empty space seem not to produce observable effects over the motion of a charged test particle. However, when a change in the background vacuum state is implemented, as for instance…

High Energy Physics - Theory · Physics 2020-02-11 V. A. De Lorenci , C. C. H. Ribeiro

Controlling dynamical fluctuations in open quantum systems is essential both for our comprehension of quantum nonequilibrium behaviour and for its possible application in near-term quantum technologies. However, understanding these…

Statistical Mechanics · Physics 2020-10-07 Federico Carollo , Carlos Pérez-Espigares

It is known that the unregularized expressions for the stress-energy tensor components corresponding to subhorizon and superhorizon vacuum fluctuations of a massless scalar field in a Friedmann-Robertson-Walker background are characterized…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Ali Kaya

We present a general method by which linear quantum Hamiltonian dynamics with exponentially many degrees of freedom is replaced by approximate classical nonlinear dynamics with the number of degrees of freedom (phase space dimensionality)…

Quantum Physics · Physics 2018-08-01 Jonathan Wurtz , Anatoli Polkovnikov , Dries Sels

We derive various exact results for Markovian systems that spontaneously relax to a non-equilibrium steady-state by using joint probability distributions symmetries of different entropy production decompositions. The analytical approach is…

Statistical Mechanics · Physics 2012-02-10 Reinaldo García-García , Vivien Lecomte , A. B. Kolton , D. Domínguez

A stochastic approach to the quantum dynamics randomly modulated in time by a discrete state non-Markovian noise, which possesses an arbitrary non-exponential distribution of the residence times, is developed. The formally exact expression…

Statistical Mechanics · Physics 2007-05-23 Igor Goychuk

We consider measurement-induced phase transitions in monitored quantum circuits with a measurement rate that fluctuates in time, remaining spatially uniform at each time. The spatially correlated fluctuations in the measurement rate disrupt…

Disordered Systems and Neural Networks · Physics 2026-02-24 Gal Shkolnik , Sarang Gopalakrishnan , David A. Huse , Snir Gazit , J. H. Pixley

For an isolated generic quantum system out of equilibrium, the long time average of observables is given by the diagonal ensemble, i.e. the mixed state with the same probability for energy eigenstates as the initial state but without…

Quantum Physics · Physics 2021-03-17 Aslı Çakan , J. Ignacio Cirac , Mari Carmen Bañuls

We report on a revision of our previous computation of the renormalized expectation value of the stress-energy tensor of a massless, minimally coupled scalar with a quartic self-interaction on a locally de Sitter background. This model is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 V. K. Onemli , R. P. Woodard

The time-dependent variational principle using generalized Gaussian trial functions yields a finite dimensional approximation to the full quantum dynamics and is used in many disciplines. It is shown how these 'semi-quantum' dynamics may be…

chao-dyn · Physics 2009-10-22 Arjendu K. Pattanayak , William C. Schieve

This paper discusses two distinct, but related issues in quantum fluctuation effects. The first is the frequency spectrum which can be assigned to one loop quantum processes. The formal spectrum is a flat one, but the finite quantum effects…

Quantum Physics · Physics 2008-11-26 L. H. Ford

Following a recent work (briefly reviewed below) we consider temporal fluctuations in the reduced density matrix elements for a coupled system involving a pair of kicked rotors as also one made up of a pair of Harper Hamiltonians. These…

Quantum Physics · Physics 2009-11-10 Sankhasubhra Nag , Gautam Ghosh , Avijit Lahiri

Consider a system of particles evolving as independent and identically distributed (i.i.d.) random walks. Initial fluctuations in the particle density get translated over time with velocity $\vec{v}$, the common mean velocity of the random…

Probability · Mathematics 2010-09-15 Rohini Kumar

The theory of Gaussian quantum fluctuations around classical steady states in nonlinear quantum-optical systems (also known as standard linearization) is a cornerstone for the analysis of such systems. Its simplicity, together with its…

On the basis of the lattice Boltzmann method we have done a numerical experiment of a forced turbulence in real space and time. Our new findings are summarized into two points. First in the analysis of the mean-field behavior of the…

Statistical Mechanics · Physics 2007-05-23 W. Sakikawa , O. Narikiyo
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