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Exploiting the mathematical curiosity of intransitive dice, we present a simple theoretical model for co-evolution that captures scales ranging from the genome of the individual to the system-wide emergence of species diversity. We study a…

Populations and Evolution · Quantitative Biology 2022-12-02 Julius B. Kirkegaard , Kim Sneppen

Coherence evolution of two food web models can be obtained under the stirring effect of chaotic advection. Each food web model sustains a three--level trophic system composed of interacting predators, consumers and vegetation. These…

Chaotic Dynamics · Physics 2009-11-10 Adriana Auyuanet , Arturo C. Marti , Raul Montagne

We study theoretically how decoherence affects superposition states composed of entangled states in inductively coupled two superconducting flux-qubits. We discover that the quantum fluctuation of an observable in a coupled flux-qubit…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Takuya Mouri , Hayato Nakano , Hideaki Takayanagi

Decoherence-free state (DFS) encoding supplies a useful way to avoid the detrimental influence of the environment on quantum information processing. The DFS was previously well established in either the two subsystems locating at the same…

Quantum Physics · Physics 2016-06-27 Chong Chen , Chun-Jie Yang , Jun-Hong An

Dissipative systems with decoherence free subspaces, a.k.a. dark spaces (DSs), can be used to protect quantum information. At the same time, dissipation is expected to give rise to coherent information degradation outside the DS. Employed…

Quantum Physics · Physics 2025-05-29 Raul A. Santos , Alex Kamenev , Yuval Gefen

A natural example of evolution can be described by a time-dependent two degrees-of-freedom Hamiltonian. We choose the case where initially the Hamiltonian derives from a general cubic potential, the linearised system has frequencies 1 and…

Dynamical Systems · Mathematics 2021-11-03 Ferdinand Verhulst

We numerically model the evolution of a pair of coherently split quasicondensates. A truly one-dimensional case is assumed, so that the loss of the (initially high) coherence between the two quasicondensates is due to dephasing only, but…

Quantum Gases · Physics 2011-11-16 H. -P. Stimming , N. J. Mauser , J. Schmiedmayer , I. E. Mazets

We consider N identical oscillators coupled to a single environment and show that the conditions for the existence of decoherence free subspaces are degeneracy of the oscillator frequencies and separability of the coupling with the…

Quantum Physics · Physics 2007-05-23 K. M. Fonseca Romero , S. G. Mokarzel , M. C. Nemes

The dynamics of a particle coupled to a dense and homogeneous ideal Fermi gas in two spatial dimensions is studied. We analyze the model for coupling parameter g=1 (i.e., not in the weak coupling regime), and prove closeness of the time…

Mathematical Physics · Physics 2019-10-08 Maximilian Jeblick , David Mitrouskas , Sören Petrat , Peter Pickl

Pattern formation has been extensively studied in the context of evolving (time-dependent) domains in recent years, with domain growth implicated in ameliorating problems of pattern robustness and selection, in addition to more realistic…

Pattern Formation and Solitons · Physics 2023-01-18 Andrew L. Krause , Eamonn A. Gaffney , Benjamin J. Walker

A decoherence-free subspace (DFS) isolates quantum information from deleterious environmental interactions. We give explicit sequences of strong and fast (``bang-bang'', BB) pulses that create the conditions allowing for the existence of…

Quantum Physics · Physics 2016-09-08 L. -A. Wu , D. A. Lidar

We study the influence of the preparation of an open quantum system on its reduced time evolution. In contrast to the frequently considered case of an initial preparation where the total density matrix factorizes into a product of a system…

Quantum Physics · Physics 2009-11-10 Karen M. Fonseca Romero , Peter Talkner , Peter Hänggi

The evolution of high-dimensional phenotypes is investigated using a statistical physics model consists of interacting spins, in which genotypes, phenotypes, and environments are represented by spin configurations, interaction matrices, and…

Biological Physics · Physics 2020-06-24 Ayaka Sakata , Kunihiko Kaneko

We present simulations of a hard disc system and analyze the time evolution of the dynamic heterogeneities. We characterize the time evolution of slow regions and slow particles individually. The motion of slow clusters turns out to be very…

Soft Condensed Matter · Physics 2009-11-07 Burkhard Doliwa , Andreas Heuer

Evolutionary and ecosystem dynamics are often treated as different processes --operating at separate timescales-- even if evidence reveals that rapid evolutionary changes can feed back into ecological interactions. A recent long-term field…

Populations and Evolution · Quantitative Biology 2018-10-04 Paula Villa Martín , Jorge Hidalgo , Rafael Rubio de Casas , Miguel A. Muñoz

The interaction of quantum emitters with one-dimensional photon-like reservoirs induces strong and long-range dissipative couplings that give rise to the emergence of so-called Decoherence Free Subspaces (DFS) which are decoupled from…

Quantum Physics · Physics 2016-08-01 V. Paulisch , H. J. Kimble , A. Gonzalez-Tudela

We show that quantum properties of spacetime, encoded by noncommutativity at the Planck scale, lead to a generalized time evolution of quantum systems in which pure states can evolve into mixed states. Specifically, a decoherence mechanism…

General Relativity and Quantum Cosmology · Physics 2023-01-27 Michele Arzano , Vittorio D'Esposito , Giulia Gubitosi

We investigate the complex time evolution of a vacuum state with the insertion of a local primary operator in two-dimensional conformal field theories (2d CFTs). This complex time evolution can be considered as a composite process…

High Energy Physics - Theory · Physics 2026-01-15 Chen Bai , Weibo Mao , Masahiro Nozaki , Mao Tian Tan , Xueda Wen

With time-dependent Lindblad operators, an open system may have a time-dependent decoherence-free subspace (t-DFS). In this paper, we define the t-DFS and present a necessary and sufficient condition for the t-DFS. Two examples are…

Quantum Physics · Physics 2015-06-05 S. L. Wu , L. C. Wang , X. X. Yi

We consider a network of interacting resonators and analyze the physical ingredients that enable the emergence of relaxation-free and decoherence-free subspaces. We investigate two different situations: i) when the whole network interacts…

Quantum Physics · Physics 2009-11-13 M. A. de Ponte , S. S. Mizrahi , M. H. Y. Moussa