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In a series of comments, Bonder et al. criticized our work on decoherence due to time dilation [Nature Physics 11, 668-672 (2015)]. First the authors erroneously claimed that our results contradict the equivalence principle, only to…

General Relativity and Quantum Cosmology · Physics 2015-09-28 Igor Pikovski , Magdalena Zych , Fabio Costa , Časlav Brukner

The performance of modern quantum devices in communication, metrology or microscopy relies on the quantum-classical interaction which is generally described by the theory of decoherence. Despite the high relevance for long coherence times…

Quantum Physics · Physics 2020-08-26 Nicole Kerker , Robin Röpke , Lea-Marina Steinert , Andreas Pooch , Alexander Stibor

We show that the dynamical Wigner functions for noninteracting fermions and bosons can have complex singularity structures with a number of new solutions accompanying the usual mass-shell dispersion relations. These new shell solutions are…

High Energy Physics - Phenomenology · Physics 2014-11-20 Matti Herranen , Kimmo Kainulainen , Pyry M. Rahkila

A quantum linear Boltzmann equation is proposed, constructed in terms of the operator-valued dynamic structure factor of the macroscopic system the test particle is interacting with. Due to this operator structure it is a non-Abelian linear…

Quantum Physics · Physics 2009-11-07 Bassano Vacchini

This article introduces a conservative formulation of the Standard Enskog equation and the Povzner equation, both of which generalize the Boltzmann equation by incorporating the contribution of particle volume in collisions. The primary…

Analysis of PDEs · Mathematics 2025-12-02 Zhe Chen

We present recent results [4, 28, 29] about the quantitative study of the linearized Boltzmann collision operator, and its application to the study of the trend to equilibrium for the spatially homogeneous Boltzmann equation for hard…

Analysis of PDEs · Mathematics 2016-08-16 Clément Mouhot

While agreeing with our exact expression for the time dependence of the motion of a free particle in an initial superposition state, corresponding to two identical Gaussians separated by a distance $d$, at temperature $T$, Gobert et al., in…

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

In a recent paper [ J. Stat. Mech. P07006 (2004)], E.G.D. Cohen and David Mauzerall (CM) have argued that the derivation of the nonequilibrium work relation given in [C. Jarzynski, Phys. Rev. Lett. 78, 2690 (1997)] is flawed. Here I attempt…

Statistical Mechanics · Physics 2007-05-23 Chris Jarzynski

A new coercivity estimate on the spectral gap of the linearized Boltzmann collision operator for multiple species is proved. The assumptions on the collision kernels include hard and Maxwellian potentials under Grad's angular cut-off…

Analysis of PDEs · Mathematics 2015-11-13 Esther Sarah Daus , Ansgar Jüngel , Clément Mouhot , Nicola Zamponi

We investigate the emergence of quantum coherence and quantum correlations in a two-particle system with deformed symmetries arising from the quantum nature of spacetime. We demonstrate that the deformation of energy-momentum composition…

Quantum Physics · Physics 2025-11-18 Iarley P. Lobo , Gislaine Varão , Giulia Gubitosi , Moises Rojas , Valdir B. Bezerra

This paper deals with the long time behavior of solutions to the spatially homogeneous Boltzmann equation. The interactions considered are the so-called (non cut-off and non mollified) hard potentials. We prove an exponential in time…

Analysis of PDEs · Mathematics 2015-12-22 Isabelle Tristani

The exploration of fundamental quantum phenomena, such as entanglement and Bell inequality violations$-$extensively studied in low-energy regimes$-$has recently extended to high-energy particle collisions. Experimentally, Bell inequality…

High Energy Physics - Phenomenology · Physics 2026-05-19 Emidio Gabrielli

In three papers Colbeck and Renner (Nature Communications 2:411, (2011); Phys. Rev. Lett. 108, 150402 (2012); arXiv:1208.4123) argued that "no alternative theory compatible with quantum theory and satisfying the freedom of choice assumption…

Mathematical Physics · Physics 2016-01-20 Klaas Landsman

In a recent paper \cite{EH} Eriksen and Hedegard (EH) claimed that they ``clarified'' our path integral calculation \cite{GZ1} and found an error in our analysis. Here we will demonstrate that this claim is based on mathematically incorrect…

Condensed Matter · Physics 2007-05-23 Dmitrii S. Golubev , Andrei D. Zaikin

This is an analysis of the recently published article `Quantum theory cannot consistently describe the use of itself' by D. Frauchiger and R. Renner~\cite{1}. Here I decipher the paradox and analyze it from the point of view of de…

Quantum Physics · Physics 2018-12-13 Aurélien Drezet

The possibilities of unlike particle correlations for a study of particle delays and spatial shifts in relativistic heavy ion collisions are demonstrated. This report represents the unpublished Ref. [4] in the paper by S. Voloshin et al.,…

Nuclear Theory · Physics 2007-05-23 R. Lednicky , S. Panitkin , N. Xu

In this paper, a polyatomic gas with continuous internal energy is considered, allowing for frozen collisions, in which the kinetic energy of the colliding particle pair is conserved, and the internal energy of each particle remains…

Analysis of PDEs · Mathematics 2025-02-13 Ricardo Alonso , Milana Čolić

We reformulate and extend our recently introduced quantum kinetic theory for interacting fermion and scalar fields. Our formalism is based on the coherent quasiparticle approximation (cQPA) where nonlocal coherence information is encoded in…

High Energy Physics - Phenomenology · Physics 2011-01-26 Matti Herranen , Kimmo Kainulainen , Pyry Matti Rahkila

Unruh has commented upon my recent proof that certain predictions of quantum theory are incompatible with the assertion that no influence of any kind acts backward in time in any Lorentz frame. Unruh fails to make a necessary distinction…

Quantum Physics · Physics 2007-05-23 Henry P. Stapp

Benenti et al. recently submitted a Comment (arXiv:0912.3667) on our work "Coherent Ratchets in Driven Bose-Einstein condensates". We show that the main claim of the Comment is wrong, and correct some other misunderstandings presented…

Quantum Gases · Physics 2010-06-14 C. E. Creffield , F. Sols