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A gas composed of a large number of atoms evolving according to Newtonian dynamics is often described by continuum hydrodynamics. Proving this rigorously is an outstanding open problem, and precise numerical demonstrations of the…

Statistical Mechanics · Physics 2021-06-22 Subhadip Chakraborti , Santhosh Ganapa , P. L. Krapivsky , Abhishek Dhar

We study the entanglement dynamics of a one-dimensional hard-core quantum gas initially confined in a box of size $L$ with saturated density $\rho=1$. The gas is suddenly released into a region of size $2L$ by moving one of the box edges.…

Statistical Mechanics · Physics 2022-08-23 Filiberto Ares , Stefano Scopa , Sascha Wald

Describing and understanding the motion of quantum gases out of equilibrium is one of the most important modern challenges for theorists. In the groundbreaking Quantum Newton Cradle experiment [Kinoshita, Wenger and Weiss, Nature 440, 900,…

Statistical Mechanics · Physics 2019-06-19 Jean-Sébastien Caux , Benjamin Doyon , Jérôme Dubail , Robert Konik , Takato Yoshimura

Collective phenomena in quantum many-body systems are often described in terms of hydrodynamics, an appropriate framework when the involved particle numbers are effectively macroscopic. We propose to use experiments on expanding clouds of…

Quantum Gases · Physics 2021-11-29 Stefan Floerchinger , Giuliano Giacalone , Lars H. Heyen , Leena Tharwat

We consider the non-equilibrium dynamics of the entanglement entropy of a one-dimensional quantum gas of hard-core particles, initially confined in a box potential at zero temperature. At $t=0$ the right edge of the box is suddenly released…

Statistical Mechanics · Physics 2021-09-10 Stefano Scopa , Alexandre Krajenbrink , Pasquale Calabrese , Jérôme Dubail

Hydrodynamic attractors are a universal phenomenon of strongly interacting systems that describe the hydrodynamic-like evolution far from local equilibrium. In particular, the rapid hydrodynamization of the Quark-Gluon Plasma is behind the…

Quantum Gases · Physics 2026-03-17 Aleksas Mazeliauskas , Tilman Enss

Turbulent scaling phenomena are studied in an ultracold Bose gas away from thermal equilibrium. Fixed points of the dynamical evolution are characterized in terms of universal scaling exponents of correlation functions. The scaling behavior…

Quantum Gases · Physics 2014-11-20 Christian Scheppach , Jürgen Berges , Thomas Gasenzer

Development of the self-sustained quantum-electrodynamical (QED) cascade in a single strong laser pulse is studied analytically and numerically. The hydrodynamical approach is used to construct the analytical model of the cascade evolution,…

Plasma Physics · Physics 2021-07-06 A. S. Samsonov , I. Yu. Kostyukov , E. N. Nerush

We consider the classical compressible Euler's Equations in three space dimensions with an arbitrary equation of state, and whose initial data corresponds to a constant state outside a sphere. Under suitable restriction on the size of the…

Analysis of PDEs · Mathematics 2013-05-07 Demetrios Christodoulou , Shuang Miao

We model the dynamics of a closed quantum system brought out of mechanical equilibrium, undergoing a non-driven, spontaneous, thermodynamic transformation. In particular, we consider a quantum particle in a box with a moving and insulating…

Quantum Physics · Physics 2024-02-21 Sofia Sgroi , Mauro Paternostro

The hydrodynamic equations for a model of a confined quasi-two-dimensional gas of smooth inelastic hard spheres are derived from the Boltzmann equation for the model, using a generalization of the Chapman-Enskog method. The heat and…

Statistical Mechanics · Physics 2015-06-11 J. Javier Brey , V. Buzón , P. Maynar , M. I. García de Soria

If we study the quantum effects in plasmas in terms of traditional hydrodynamics via the continuity and Euler equations we find the quantum Bohm potential and the force of spin-spin interaction. However, if we extend the set hydrodynamic…

Plasma Physics · Physics 2021-11-17 Pavel A. Andreev

Hydrodynamic behavior is a general feature of interacting systems with many degrees of freedom constrained by conservation laws. To date hydrodynamic scaling in relativistic quantum systems has been observed in many high energy settings,…

High Energy Physics - Phenomenology · Physics 2009-11-07 Luis M. A. Bettencourt , Fred Cooper , Karen Pao

Identifying universal properties of non-equilibrium quantum states is a major challenge in modern physics. A fascinating prediction is that classical hydrodynamics emerges universally in the evolution of any interacting quantum system.…

Quantum Physics · Physics 2024-12-03 M. K. Joshi , F. Kranzl , A. Schuckert , I. Lovas , C. Maier , R. Blatt , M. Knap , C. F. Roos

We study the emergence of universal scaling in the time-evolving momentum distribution of a harmonically trapped three-dimensional Bose-Einstein condensate, parametrically driven to a turbulent state. We demonstrate that the…

The linear hydrodynamic stability of a model for confined quasi-two-dimensional granular gases is analyzed. The system exhibits homogeneous hydrodynamics, i.e. there are macroscopic evolution equations for homogeneous states. The stability…

Statistical Mechanics · Physics 2016-10-12 J. Javier Brey , V. Buzón , M. I. García de Soria , P. Maynar

We propose a generalization of quantum mechanical equations in the hydrodynamic form by introducing, into the Lagrangian density, terms taking into account the diffusion velocity at zero and finite temperatures and the diffusion pressure…

Quantum Physics · Physics 2014-04-14 O. N. Golubjeva , S. V. Sidorov

By exploring a phase space hydrodynamics description of one-dimensional free Fermi gas, we discuss how systems settle down to steady states described by the generalized Gibbs ensembles through quantum quenches. We investigate time…

Statistical Mechanics · Physics 2018-10-23 Manas Kulkarni , Gautam Mandal , Takeshi Morita

Quantum dynamics of a particle in the vicinity of a hyperbolic point is considered. Expectation values of dynamical variables are calculated, and the singular behavior is analyzed. Exponentially fast extension of quantum dynamics is…

Quantum Physics · Physics 2015-06-12 A. Iomin

We study supercooled dynamics in quantum hard-sphere liquid using quantum mode-coupling formulation. In the moderate quantum regime, classical cage effects lead to slower dynamics compared to strongly quantum regime, where tunneling…

Statistical Mechanics · Physics 2021-02-03 Ankita Das , Eran Rabani , Kunimasa Miyazaki , Upendra Harbola
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