Vitali, S Paradisi, P Pagnini, G
Published in
Journal of Physics A: Mathematical and Theoretical

We show through intensive simulations that the paradigmatic features of anomalous diffusion are indeed the features of a (continuous-time) random walk driven by two different Markovian hopping-trap mechanisms. If p ∈ (0, 1/2) and 1 − p are the probabilities of occurrence of each Markovian mechanism, then the anomalousness parameter β ∈ (0, 1) resul...

Xie, You-Fei Chen, Qing-Hu
Published in
Journal of Physics A: Mathematical and Theoretical

The true level crossing in the asymmetric quantum Rabi model without any obvious symmetry can be exhibited in the energy spectrum if the qubit bias is a multiple of the cavity frequency, which should imply the existence of the hidden symmetry. In this work, within a Bogoliubov operator approach, we can readily derive the symmetry operators associat...

Thapa, Samudrajit Park, Seongyu Kim, Yeongjin Jeon, Jae-Hyung Metzler, Ralf Lomholt, Michael A
Published in
Journal of Physics A: Mathematical and Theoretical

We present a Bayesian inference scheme for scaled Brownian motion, and investigate its performance on synthetic data for parameter estimation and model selection in a combined inference with fractional Brownian motion. We include the possibility of measurement noise in both models. We find that for trajectories of a few hundred time points the proc...

Vaishy, Ankit Mitra, Subhadip Bhattacharya, Samyadeb
Published in
Journal of Physics A: Mathematical and Theoretical

We devise a novel protocol to detect genuinely multipartite entangled states by harnessing quantum non-Markovian operations. We utilize a particular type of non-Markovianity known as the eternal non-Markovianity to construct a non-complete positive map to filter out the bi-separable states and detect genuine multipartite entanglement. We further pr...

Hamada, Yuta Montero, Miguel Vafa, Cumrun Valenzuela, Irene
Published in
Journal of Physics A: Mathematical and Theoretical

We view and provide further evidence for a number of swampland criteria, including the weak gravity conjecture, distance conjecture and bounds on the finiteness of the quantum gravity vacua from the prism of the finiteness of black hole entropy. Furthermore we propose that at least all of these swampland statements may be more fundamentally a conse...

Chakravarty, Sarbarish Zowada, Michael
Published in
Journal of Physics A: Mathematical and Theoretical

A large family of nonsingular rational solutions of the Kadomtsev–Petviashvili (KP) I equation are investigated. These solutions are constructed via the Gramian method and are identified as points in a complex Grassmannian. Each solution is a traveling wave moving with a uniform background velocity but have multiple peaks which evolve at a slower t...

Radice, Mattia
Published in
Journal of Physics A: Mathematical and Theoretical

We consider the dynamical evolution of a Brownian particle undergoing stochastic resetting, meaning that after random periods of time it is forced to return to the starting position. The intervals after which the random motion is stopped are drawn from a Gamma distribution of shape parameter α and scale parameter r, while the return motion is perfo...

Hayden, Patrick Sorce, Jonathan
Published in
Journal of Physics A: Mathematical and Theoretical

If an open quantum system is initially uncorrelated from its environment, then its dynamics can be written in terms of a Lindblad-form master equation. The master equation is divided into a unitary piece, represented by an effective Hamiltonian, and a dissipative piece, represented by a hermiticity-preserving superoperator; however, the division of...

Singh, Prashant Kundu, Anupam Majumdar, Satya N Schawe, Hendrik
Published in
Journal of Physics A: Mathematical and Theoretical

We investigate the statistics of the convex hull for a single run-and-tumble particle (RTP) in two dimensions. RTP, also known as the persistent random walker, has gained significant interest in the recent years due to its biological application in modelling the motion of bacteria. We consider two different statistical ensembles depending on whethe...

Berry, M V Shukla, Pragya
Published in
Journal of Physics A: Mathematical and Theoretical

A canonical superoscillatory function, defined on the circle, satisfies a set of uncertainty inequalities for periodic functions, strengthened by an anticommutator term introduced by Schrödinger. The superoscillations can be made to dominate the uncertainty inequality by selecting them with a sufficiently narrow window. The uncertainty product, and...