Field Theory of Birhythmicity

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1. Proche Pas pertinent

   Topology protects chiral edge currents in stochastic systems

   Evelyn Tang, Jaime Agudo-Canalejo, Ramin Golestanian · 2020 · Phys. Rev. X 11, 031015 (2021) · Résumé IA disponible

   Résumé scientifique

   Constructing systems that exhibit time-scales much longer than those of the underlying components, as well as emergent dynamical and collective behavior, is a key goal in fields such as synthetic biology and materials self-assembly. Inspiration often comes from living systems, in which robust global behavior prevails despite the stochasticity of the underlying processes. Here, we present two-dimensional stochastic networks that consist of minimal motifs representing out-of-equilibrium cycles at the molecular scale and support chiral edge currents in configuration space. These currents arise in the topological phase due to the bulk-boundary correspondence and dominate the system dynamics in t…

2. Proche Pas pertinent

   Classical limit of measurement-induced transition in many-body chaos in integrable and non-integrable oscillator chains

   Sibaram Ruidas, Sumilan Banerjee · 2022 · Mécanique statistique · Résumé IA disponible

   Résumé scientifique

   We discuss the dynamics of integrable and non-integrable chains of coupled oscillators under continuous weak position measurements in the semiclassical limit. We show that, in this limit, the dynamics is described by a standard stochastic Langevin equation, and a measurement-induced transition appears as a noise- and dissipation-induced chaotic-to-non-chaotic transition akin to stochastic synchronization. In the non-integrable chain of anharmonically coupled oscillators, we show that the temporal growth and the ballistic light-cone spread of a classical out-of-time correlator characterized by the Lyapunov exponent and the butterfly velocity, are halted above a noise or below an interaction s…

3. Apparenté Pas pertinent

   First-order transition and marginal critical behavior in a novel 2D frustrated Ising model

   Christophe Chatelain · 2024 · Phys. Rev. E 111, 024109 (2024) · Résumé IA disponible

   Résumé scientifique

   The phase diagram of a novel two-dimensional frustrated Ising model with both anti-ferromagnetic and ferromagnetic couplings is studied using Tensor-Network Renormalization-Group techniques. This model can be seen as two anti-ferromagnetic Ising replicas coupled by non-local spin-spin interactions, designed in such a way that the continuum limit matches that of the still debated J1 -J2 model and induces a marginal critical behavior. Our model has the advantage of having more symmetries than the J1 -J2 model and of allowing a more straightforward implementation of Tensor-Network Renormalization-Group algorithms We demonstrate the existence of two transition lines, featuring both first and sec…

4. Apparenté Pas pertinent

   Large deviation full counting statistics in adiabatic open quantum dynamics

   Paulo J. Paulino, Igor Lesanovsky, Federico Carollo · 2024 · Mécanique statistique · Résumé IA disponible

   Résumé scientifique

   The state of an open quantum system undergoing an adiabatic process evolves by following the instantaneous stationary state of its time-dependent generator. This observation allows one to characterize, for a generic adiabatic evolution, the average dynamics of the open system. However, information about fluctuations of dynamical observables, such as the number of photons emitted or the time-integrated stochastic entropy production in single experimental runs, requires controlling the whole spectrum of the generator and not only the stationary state. Here, we show how such information can be obtained in adiabatic open quantum dynamics by exploiting tools from large deviation theory. We prove …

5. Apparenté Pas pertinent

   Understanding quantum entanglement by thermo field dynamics

   Yoichiro Hashizume, Masuo Suzuki · 2013 · Mécanique statistique · Résumé IA disponible

   Résumé scientifique

   We propose a new method to understand quantum entanglement using the thermo field dynamics (TFD) described by a double Hilbert space. The entanglement states show a quantum-mechanically complicated behavior. Our new method using TFD makes it easy to understand the entanglement states, because the states in the tilde space in TFD play a role of tracer of the initial states. For our new treatment, we define an extended density matrix on the double Hilbert space. From this study, we make a general formulation of this extended density matrix and examine some simple cases using this formulation. Consequently, we have found that we can distinguish intrinsic quantum entanglement from the thermal fl…

6. Apparenté Pas pertinent

   Drift-Controlled Anomalous Diffusion: A Solvable Gaussian Model

   Fabrizio Lillo, Rosario N. Mantegna · 2000 · Mécanique statistique · Résumé IA disponible

   Résumé scientifique

   We introduce a Langevin equation characterized by a time dependent drift. By assuming a temporal power-law dependence of the drift we show that a great variety of behavior is observed in the dynamics of the variance of the process. In particular diffusive, subdiffusive, superdiffusive and stretched exponentially diffusive processes are described by this model for specific values of the two control parameters. The model is also investigated in the presence of an external harmonic potential. We prove that the relaxation to the stationary solution is power-law in time with an exponent controlled by one of model parameters.

7. Apparenté Pas pertinent

   System size expansion using Feynman rules and diagrams

   Philipp Thomas, Christian Fleck, Ramon Grima et al. · 2014 · Mécanique statistique · Résumé IA disponible

   Résumé scientifique

   Few analytical methods exist for quantitative studies of large fluctuations in stochastic systems. In this article, we develop a simple diagrammatic approach to the Chemical Master Equation that allows us to calculate multi-time correlation functions which are accurate to a any desired order in van Kampen's system size expansion. Specifically, we present a set of Feynman rules from which this diagrammatic perturbation expansion can be constructed algorithmically. We then apply the methodology to derive in closed form the leading order corrections to the linear noise approximation of the intrinsic noise power spectrum for general biochemical reaction networks. Finally, we illustrate our resul…

8. Apparenté Pas pertinent

   Comment on Bramwell et al, "Universal Fluctuations in Correlated Systems"

   N. W. Watkins, S. C. Chapman, G. Rowlands · 2002 · Phys. Rev. Lett 89, 208901 (2002) · Pas encore résumé

   Résumé scientifique

   This is a comment on "Universal Fluctuations in Correlated Systems", by Bramwell et al, Phys. Rev. Lett., 84, 3744 (2000.