منابع مشابه
Generalized Quantum Random Walk in Momentum Space
We introduce a discrete–time quantum walk on a one-dimensional momentum space including both discrete jumps and continuous drift. Its time evolution has two different stages. Initially a Markovian diffusion develops during a characteristic time interval, after which dynamical localization sets in, as in the well known Quantum Kicked Rotor system. For some exceptional values of the model’s param...
متن کاملGeneralized Quantum Walk in Momentum Space
We study a new model of quantum walk on a one dimensional momentum space that includes both discrete jumps and continuous drift. Its time evolution has two different stages. Initially a Markovian diffusion develops during a characteristic time interval, after which dynamical localization sets in, as in the well known Quantum Kicked Rotor system. For some exceptional values of the model’s parame...
متن کاملThe Random Walk in Generalized Quantum Theory
One can view quantum mechanics as a generalization of classical probability theory that provides for pairwise interference among alternatives. Adopting this perspective, we “quantize” the classical random walk by finding, subject to a certain condition of “strong positivity”, the most general Markovian, translationally invariant “decoherence functional” with nearest neighbor transitions.
متن کاملCausal loop quantum cosmology in momentum space
We shall show that it is possible to make a causal interpretation of loop quantum cosmology using the momentum as the dynamical variable. We shall show that one can derive Bohmian trajectories. For a sample cosmological solution with cosmological constant, the trajectory is plotted.
متن کاملMomentum space topology and quantum phase transitions
Many quantum condensed-matter systems, and probably the quantum vacuum of our Universe, are strongly correlated and strongly interacting fermionic systems, which cannot be treated perturbatively. However, physics which emerges in the low-energy does not depend on the complicated details of the system and is relatively simple. It is determined by the nodes in the fermionic spectrum, which are pr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2005
ISSN: 0378-4371
DOI: 10.1016/j.physa.2005.01.026