Building on this picture, we formulate a topological fluctuation theorem that depends only by the winding number around each vortex core and is insensitive to other aspects of the force. The probability is robust to local deformations of the particle trajectory, reminiscent of topologically protected ...
The nucleation of this phase, followed in real time via single-shot soft X-ray scattering after infrared laser excitation, is mediated by a transient topological fluctuation state. This state is enabled by the presence of a time-reversal symmetry-breaking perpendicular magnetic field and exists for...
In this work, we show the connections between different formulations of the fluctuation theorem. One formulation concerns the generating function of the currents while another one concerns the corresponding large deviation function, which we have calculated exactly for this model. A third formulation ...
In this work we study the partial topological twist of 3d N = 2 theories on a spacetime with boundary HS2 × S1, where HS2 is the 2d hemisphere. Our first result is to formulate supersymmetric boundary conditions on ∂(HS2 ×S1) = T 2 for this spacetime and compute the Witten ...
In equilibrium, G(ω) is closely connected to the thermal fluctuations by the fluctuation–dissipation theorem (FDT) [68]. An early instance of this powerful tool from statistical mechanics is given by the Einstein relation D = kBT/ζ [69], which amounts to a low frequency limit of the ...
(b) If all the spins/particles follow the local dancing “rules,” then they will form a global dancing pattern, which corresponds to the topological order. (c) Such a global pattern of collective dancing is a pattern of quantum fluctuation which corresponds to a pattern of long-range ...
Apr 27, 2018 -Noise and The Fluctuation Dissipation Theorem Apr 23, 2018 -Reverse Mode Auto Differentiation is Kind of Like a Lens Apr 9, 2018 -CartPole WORKIN' BOYEEE Mar 29, 2018 -Some random links on uses of Convex relaxations, in particular Semidefinite programming ...
According to the Langevin treatment of thermally driven oscillators, the right-hand side of the equation is the time-dependent thermal force experienced by the oscillator, which depends on the dissipation factor Γi through the fluctuation-dissipation theorem. ηi(t) is a normalized white noise ter...
All-to-all interacting, disordered quantum many-body models have a wide range of applications across disciplines, from spin glasses in condensed-matter physics over holographic duality in high-energy physics to annealing algorithms in quantum computing.
Control strategies that are solely based on the network’s topological properties4 disregard the system’s dynamics, which is usually highly nonlinear. Addressing this issue, we here proposed a straightforward topology-dynamics-based control approach for multi-dimensional complex networked dynamical systems...