Generalized Quantum Walk in Momentum Space
نویسندگان
چکیده
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 parameter the system exhibits resonant behavior and the system model behaves as the standard discrete time quantum walker on the line.
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 کاملImplementing quantum walks using orbital angular momentum of classical light.
We present an implementation scheme for a quantum walk in the orbital angular momentum space of a laser beam. The scheme makes use of a ring interferometer, containing a quarter-wave plate and a q plate. This setup enables one to perform an arbitrary number of quantum walk steps. In addition, the classical nature of the implementation scheme makes it possible to observe the quantum walk evoluti...
متن کاملEffects of non-local initial conditions in the Quantum Walk on the line
We report an enhancement of the decay rate of the survival probability when nonlocal initial conditions in position space are considered in the Quantum Walk on the line. It is shown how this interference effect can be understood analytically by using previously derived results. Within a restricted position subspace, the enhanced decay is correlated with a maximum asymptotic entanglement level w...
متن کاملWhen the classical & quantum mechanical considerations hint to a single point; a microscopic particle in a one dimensional box with two infinite walls and a linear potential inside it
In this paper we have solved analytically the Schrödinger equation for a microscopic particle in a one-dimensional box with two infinite walls, which the potential function inside it, has a linear form. Based on the solutions of this special quantum mechanical system, we have shown that as the quantum number approaches infinity the expectation values of microscopic particle position and square ...
متن کاملQuantum walks and wavepacket dynamics on a lattice with twisted photons.
The "quantum walk" has emerged recently as a paradigmatic process for the dynamic simulation of complex quantum systems, entanglement production and quantum computation. Hitherto, photonic implementations of quantum walks have mainly been based on multipath interferometric schemes in real space. We report the experimental realization of a discrete quantum walk taking place in the orbital angula...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004