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Related papers: Quantum Lotka-Volterra dynamics

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Ultracold atoms are an ideal platform to study strongly correlated phases of matter in and out of equilibrium. Much of the experimental progress in this field crucially relies on the control of the contact interaction between two atoms.…

We study the time evolution of two ecosystems in the presence of external noise and climatic periodical forcing by a generalized Lotka-Volterra (LV) model. In the first ecosystem, composed by two competing species, we find noise induced…

Statistical Mechanics · Physics 2007-05-23 B. Spagnolo , A. Fiasconaro , D. Valenti

Quantum thermodynamics often deals with the dynamics of small quantum machines interfacing with a large and complex environment. Virtual qubits, collisional models and reset master equations have become highly useful tools for predicting…

Quantum Physics · Physics 2021-11-02 Ayaka Usui , Wolfgang Niedenzu , Marcus Huber

The influence of power-law interactions on the dynamics of many-body systems far from equilibrium is much less explored than their effect on static and thermodynamic properties. To gain insight into this problem we introduce and analyze…

Quantum Gases · Physics 2016-01-07 Ricardo Gutiérrez , Juan P. Garrahan , Igor Lesanovsky

Observation of internal quantum dynamics relies on correlations between the system being observed and the measurement apparatus. We propose using the center-of-mass (c.m.) degrees of freedom of atoms and molecules as a "built-in" monitoring…

Atomic Physics · Physics 2020-07-01 A. W. Bray , U. Eichmann , S. Patchkovskii

Recent developments in quantum gas microscopy open up the possibility of real-time observation of quantum many-body systems. To understand the dynamics of atoms under such circumstances, we formulate the dynamics under a real-time spatially…

Quantum Physics · Physics 2017-03-01 Yuto Ashida , Masahito Ueda

Dynamical systems are a valuable asset for the study of population dynamics. On this topic, much has been done since Lotka and Volterra presented the very first continuous system to understand how the interaction between two species -- the…

Dynamical Systems · Mathematics 2023-09-26 Márcia Lemos-Silva , Delfim F. M. Torres

A kinetic approach for the evolution of ultracold neutral plasmas including interionic correlations and the treatment of ionization/excitation and recombination/deexcitation by rate equations is described in detail. To assess the…

Atomic Physics · Physics 2009-11-10 T. Pohl , T. Pattard , J. M. Rost

Contact processes play an important role in classical non-equilibrium dynamics, describing the spreading of diseases, the dynamics of earthquakes and forest fires, and the distribution of information through the internet. Here we show that…

Quantum Physics · Physics 2026-04-06 Julius Bohm , Richard Schmidt , Michael Fleischhauer , Daniel Brady

We propose a new model suitable for a nonequilibrium molecular dynamics (MD) simulation of electrical conductors. The model consists of classical electrons and atoms. The atoms compose a lattice vibration system. The electrons are scattered…

Statistical Mechanics · Physics 2015-05-30 Fan Lee , Tatsuro Yuge , Akira Shimizu

We consider the ionisation of atomic hydrogen by a strong infrared field. We extend and study in more depth an existing semi-analytical model. Starting from the time-dependent Schroedinger equation in momentum space and in the velocity…

Optically Pumped Magnetometers use light to drive an atomic vapor into a Non-Equilibrium Steady State for sensing. This kind of state is achieved when spin-exchange collisions, together with optical pumping, dominate the relaxation…

Quantum Physics · Physics 2026-04-13 A. F. Sousa , C. H. S. Vieira , H. M. Florez

We study a novel regime of the Rydberg excitation blockade using highly Stark-shifted, yet long-living, states of Rb atoms subject to electric fields above the classical ionization limit. Such states allow tuning the dipole-dipole…

Experiments in predator-prey systems show the emergence of long-term cycles. Deterministic model typically fails in capturing these behaviors, which emerge from the microscopic interplay of individual based dynamics and stochastic effects.…

Numerical Analysis · Mathematics 2022-03-03 Giacomo Albi , Roberto Chignola , Federica Ferrarese

We consider a one-dimensional lattice of atoms with laser excitation to a Rydberg state and spontaneous emission. The atoms are coupled due to the dipole-dipole interaction of the Rydberg states. This driven-dissipative system has a broad…

Quantum Gases · Physics 2013-11-27 Anzi Hu , Tony E. Lee , Charles W. Clark

We study the dynamics of hard-core bosons on ladders, in the presence of strong kinetic constrains akin to those of the Bariev model. We use a combination of analytical methods and numerical simulations to establish the phase diagram of the…

Quantum computers have the potential to simulate chemical systems beyond the capability of classical computers. Recent developments in hybrid quantum-classical approaches enable the determinations of the ground or low energy states of…

Quantum Physics · Physics 2021-12-06 Chee-Kong Lee , Jonathan Wei Zhong Lau , Liang Shi , Leong Chuan Kwek

Quantum simulators could provide an alternative to numerical simulations for understanding minimal models of condensed matter systems in a controlled way. Typically, cold atom systems are used to simulate e.g. Hubbard models. In this paper,…

Strongly Correlated Electrons · Physics 2014-03-25 J. P. Hague , S. Downes , C. MacCormick , P. E. Kornilovitch

We study the thermalization process in highly occupied non-Abelian plasmas at weak coupling. The non-equilibrium dynamics of such systems is classical in nature and can be simulated with real-time lattice gauge theory techniques. We provide…

High Energy Physics - Phenomenology · Physics 2014-06-11 Juergen Berges , Kirill Boguslavski , Soeren Schlichting , Raju Venugopalan

We propose the use of quantum optical systems to perform universal simulation of quantum dynamics. Two specific implementations that require present technology are put forward for illustrative purposes. The first scheme consists of neutral…

Quantum Physics · Physics 2007-05-23 E. Jané , G. Vidal , W. Dür , P. Zoller , J. I. Cirac