arXiv subjects

Meltem Gonulol

Publications and source records attributed to Meltem Gonulol.

4 recordsLinked to original sources

arXiv2011

Survival probability in a one-dimensional quantum walk on a trapped lattice

The dynamics of the survival probability of quantum walkers on a one-dimensional lattice with random distribution of absorbing immobile traps are investigated. The survival probability of quantum walkers is compared with that of classical walkers. It is shown that the time dependence of survival probability of quantum walkers has a piecewise stretched exponential character depending on the density of traps in numerical and analytical observations. The crossover between the quantum analogs of the Rosenstock and Donsker-Varadhan behaviors is identified.

quant-ph↗

arXiv2009

Decoherence in Two-Dimensional Quantum Random Walks with Traps

Quantum random walk in a two-dimensional lattice with randomly distributed traps is investigated. Distributions of quantum walkers are evaluated dynamically for the cases of Hadamard, Fourier, and Grover coins, and quantum to classical transition is examined as a function of the density of the traps. It is shown that traps act as a serious and additional source of quantum decoherence. Furthermore, non-trivial temporal dependence of the standard deviation of the probability distribution of the walker is found when the trapping imperfections are introduced.

quant-ph↗

arXiv2005

Time dependence of the survival probability of an opinion in a closed community

The time dependence of the survival probability of an opinion in a closed community has been investigated in accordance with social temperature by using the Kawasaki-exchange dynamics based on previous study in Ref. [1]. It is shown that the survival probability of opinion decays with stretched exponential law consistent with previous static model. However, the crossover regime in the decay of the survival probability has been observed in this dynamic model unlike previous model. The decay characteristics of both two regimes obey to stretched exponential.

physics.soc-ph↗

arXiv2005

Magnetic plateaus in the 1D antiferromagnetic spin-3/2 and spin-2 Ising chains with single-ion anisotropy

In this study, we have employed the classical transfer matrix technique to investigate the magnetization plateaus, phase diagrams and other thermodynamical properties of the one-dimensional antiferromagnetic spin-3/2 and spin-2 Ising chains with single-ion anisotropy in the presence of an external magnetic field at very low temperature. We have showed that single ion-anisotropy is one of the indispensable ingredients for an energy gap which leads to magnetic plateau mechanism in one-dimensional antiferromagnetic Ising spin chains. Other thermodynamical predictions seem to be provide this argument.

cond-mat.stat-mech↗