|
| related topics |
| {classical, space, random} |
| {energy, state, states} |
| {time, wave, function} |
| {time, decoherence, evolution} |
| {field, particle, equation} |
| {level, atom, field} |
| {qubit, qubits, gate} |
| {state, algorithm, problem} |
| {cos, sin, state} |
|
Generalized Quantum Walk in Momentum Space
A. Romanelli, A. Auyuanet, R. Siri, G. Abal, R. Donangelo
abstract: We consider 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 stages; a Markov diffusion followed by localized dynamics. As in the well
known quantum kicked rotor, this model can be mapped into a localized
one-dimensional Anderson model. For exceptional (rational) values of its scale
parameter, the system exhibits resonant behavior and reduce to the usual
discrete time quantum walk on the line.
- oai_identifier:
- oai:arXiv.org:quant-ph/0408183
- categories:
- quant-ph
- comments:
- 11 pages, 5 figures
- doi:
- 10.1016/j.physa.2005.01.026
- arxiv_id:
- quant-ph/0408183
- created:
- 2004-08-30
- updated:
- 2004-12-09
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