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- W3098021266 abstract "We have investigated the time-evolution of a free particle in interaction with a phonon thermal bath, using the tight-binding approach. A dissipative quantum walk can be defined and many important non-equilibrium decoherence properties can be investigated analytically. The non-equilibrium statistics of a pure initial state have been studied. Our theoretical results indicate that the evolving wave-packet shows the suppression of Anderson's boundaries (ballistic peaks) by the presence of dissipation. Many important relaxation properties can be studied quantitatively, such as von Neumann's entropy and quantum purity. In addition, we have studied Wigner's function. The time-dependent behavior of the quantum entanglement between a free particle -in the lattice- and the phonon bath has been characterized analytically. This result strongly suggests the non-trivial time-dependence of the off-diagonal elements of the reduced density matrix of the system. We have established a connection between the quantum decoherence and the dissipative parameter arising from interaction with the phonon bath. The time-dependent behavior of quantum correlations has also been pointed out, showing continuous transition from quantum random walk to classical random walk, when dissipation increases." @default.
- W3098021266 created "2020-11-23" @default.
- W3098021266 creator A5015134655 @default.
- W3098021266 creator A5065715194 @default.
- W3098021266 date "2012-07-30" @default.
- W3098021266 modified "2023-09-25" @default.
- W3098021266 title "Non-equilibrium transition from dissipative quantum walk to classical random walk" @default.
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- W3098021266 doi "https://doi.org/10.1088/1751-8113/45/33/335303" @default.
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