Quantum ratchet in disordered quantum walk
arXiv:1611.03323 · doi:10.1002/andp.201600346
Abstract
Symmetrically evolving discrete quantum walk results in dynamic localization with zero mean displacement when the standard evolution operations are replaced by a temporal disorder evolution operation. In this work we show that the quantum ratchet action, that is, a directed transport in standard or disordered discrete-time quantum walk can be realized by introducing a pawl like effect realized by using a fixed coin operation at marked positions that is, different from the ones used for evolution at other positions. We also show that the combination of standard and disordered evolution operations can be optimized to get the mean displacement of order t (number of walk steps). This model of quantum ratchet in quantum walk is defined using only a set of entangling unitary operators resulting in the coherent quantum transport.
7 pages, 7 figures
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Cited by in corpus (7)
- Implementing Parrondo's paradox with two coin quantum walks
- Quantum walks with sequential aperiodic jumps
- Genuine Parrondo's paradox in quantum walks with time-dependent coin operators
- Optical realization of one-dimensional generalized split-step quantum walks
- Spontaneous-emission induced ratchet in atom-optics kicked rotor quantum walks
- Spectral Magnetization Ratchets with Discrete Time Quantum Walks
- Response to glassy disorder in coin on spread of quantum walker