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The persistence of biodiversity of species is a challenging proposition in ecological communities in the face of Darwinian selection. The present article investigates beyond the pairwise competitive interactions and provides a novel…

种群与进化 · 定量生物学 2022-11-09 Sourin Chatterjee , Sayantan Nag Chowdhury , Dibakar Ghosh , Chittaranjan Hens

How diversity is maintained in natural ecosystems is a long-standing question in Theoretical Ecology. By studying a system that combines ecological dynamics, heterogeneous interactions and spatial structure, we uncover a new mechanism for…

种群与进化 · 定量生物学 2024-03-21 Giulia Garcia Lorenzana , Ada Altieri , Giulio Biroli

We consider a class of entangled states of a quantum system (S) and a second system (A) where pure states of the former are correlated with mixed states of the latter, and work out the entanglement measure with reference to the nearest…

量子物理 · 物理学 2008-07-04 Avijit Lahiri , Gautam Ghosh , Sankhasubhra Nag

Physical systems with non-reciprocal or dissipative forces evolve according to a generalization of Liouville's equation that accounts for the expansion and contraction of phase space volume. Here, we connect geometric descriptions of these…

统计力学 · 物理学 2025-05-27 Mohamed Sahbani , Swetamber Das , Jason R. Green

The density matrix yields probabilistic information about the outcome of measurements on a quantum system, but it does not distinguish between classical randomness in the preparation of the system and entanglement with its environment.…

量子物理 · 物理学 2025-09-11 Julien Pinske , Klaus Mølmer

Dissipation and decoherence, and the evolution from pure to mixed states in quantum physics are handled through master equations for the density matrix. Master equations such as the Lindblad equation preserve the trace of this matrix.…

量子物理 · 物理学 2009-11-10 A. R. P. Rau , Weichang Zhao

We study the real-time evolution of a self-interacting O(N) scalar field initially prepared in a pure quantum state. We present a complete solution of the nonequilibrium quantum dynamics from a 1/N-expansion of the two-particle-irreducible…

高能物理 - 唯象学 · 物理学 2010-11-11 Alexandre Giraud , Julien Serreau

The theory of decoherence attempts to explain the emergent classical behaviour of a quantum system interacting with its quantum environment. In order to formalize this mechanism we introduce the idea that the information preserved in an…

量子物理 · 物理学 2008-02-06 Cédric Bény

The trace distance between two states of an open quantum system quantifies their distinguishability, and for a fixed environmental state can increase above its initial value only in the presence of initial system-environment correlations.…

量子物理 · 物理学 2011-09-20 Andrea Smirne , Davide Brivio , Simone Cialdi , Bassano Vacchini , Matteo G. A. Paris

Complex systems with global interactions tend to be stable if interactions between components are sufficiently homogeneous. In biological systems, which often have small copy numbers and interactions mediated by diffusing agents, noise and…

生物物理 · 物理学 2023-04-14 Fabrizio Olmeda , Steffen Rulands

Long-range interacting systems may exhibit ensemble inequivalence and can possibly attain equilibrium states under completely open conditions, for which energy, volume and number of particles simultaneously fluctuate. Here we consider a…

We consider a closed quantum system subject to a stochastic resetting process. The generic expression for the resulting density operator is formulated for arbitrary resetting dynamics, fully characterised by the distribution of times…

量子物理 · 物理学 2023-02-15 Francisco J. Sevilla , Andrea Valdés-Hernández

It is known that an arbitrary quantum state can always be expressed in a pure state by preparing an appropriate ancilla system, which is called purification. The purification can always be performed when considering only a quantity not…

统计力学 · 物理学 2018-11-02 Koki Inoue , Yoshiyuki Fukumoto

The properties of coherence and polarization of light has been the subject of intense investigations and form the basis of many technological applications. These concepts which historically have been treated independently can now be…

量子物理 · 物理学 2021-01-07 Bertúlio de Lima Bernardo

Environmental feedback mechanisms are ubiquitous in real-world complex systems. In this study, we incorporate a homogeneous environment into the evolutionary dynamics of a three-state system comprising cooperators, defectors, and empty…

适应与自组织系统 · 物理学 2025-10-10 Yi-Duo Chen , Zhi-Xi Wu , Jian-Yue Guan

We consider unitary evolution of finite bipartite quantum systems and study time dependence of purity for initial cat states -- coherent superpositions of Gaussian wave-packets. We derive explicit formula for purity in systems with nonzero…

量子物理 · 物理学 2009-11-11 Marko Znidaric , Tomaz Prosen

We analyze rigorously the dynamics of the entanglement between two qubits which interact only through collective and local environments. Our approach is based on the resonance perturbation theory which assumes a small interaction between…

量子物理 · 物理学 2010-01-08 M. Merkli , G. P. Berman , F. Borgonovi , K. Gebresellasie

A one-dimensional interacting particle system is said to exhibit interface tightness if starting in an initial condition describing the interface between two constant configurations of different types, the process modulo translations is…

概率论 · 数学 2018-10-25 Rongfeng Sun , Jan M. Swart , Jinjiong Yu

We show that in the limit of strongly interacting environment a system initially prepared in a Decoherence Free Subspace (DFS) coherently evolves in time, adiabatically following the changes of the DFS. If the reservoir cyclicly evolves in…

量子物理 · 物理学 2009-11-11 Angelo Carollo , Marcelo Franca Santos , Vlatko Vedral

The roles of decoherence and environment-induced superselection in the emergence of the classical from the quantum substrate are described. The stability of correlations between the einselected quantum pointer states and the environment…

量子物理 · 物理学 2011-08-04 Wojciech H. Zurek