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Fundamental Aspects of Quantum Brownian Motion
Peter Hänggi, Gert-Ludwig Ingold
With this work we elaborate on the physics of quantum noise in thermal equilibrium and in stationary non-equilibrium. Starting out from the celebrated quantum fluctuation-dissipati…
Theory of the Relativistic Brownian Motion. The (1+1)-Dimensional Case
Jörn Dunkel, Peter Hänggi
We construct a theory for the 1+1-dimensional Brownian motion in a viscous medium, which is (i) consistent with Einstein's theory of special relativity, and (ii) reduces to the sta…
Theory of frequency and phase synchronization in a rocked bistable stochastic system
Jesús Casado-Pascual, José Gómez-Ordóñez, Manuel Morillo +3
We investigate the role of noise in the phenomenon of stochastic synchronization of switching events in a rocked, overdamped bistable potential driven by white Gaussian noise, the…
Coherence stabilization of a two-qubit gate by AC fields
Karen M. Fonseca Romero, Sigmund Kohler, Peter Hänggi
We consider a CNOT gate operation under the influence of quantum bit-flip noise and demonstrate that ac fields can change bit-flip noise into phase noise and thereby improve cohere…
Statistics of transition times, phase diffusion and synchronization in periodically driven bistable systems
Peter Talkner, Lukasz Machura, Michael Schindler +2
The statistics of transitions between the metastable states of a periodically driven bistable Brownian oscillator are investigated on the basis of a two-state description by means…
Fractional diffusion modeling of ion channel gating
Igor Goychuk, Peter Hanggi
An anomalous diffusion model for ion channel gating is put forward. This scheme is able to describe non-exponential, power-law like distributions of residence time intervals in sev…