TY  - JOUR
AU  - Debbasch, Fabrice
PY  - 2020
DA  - 2020/01/06
TI  - Relativistic Wigner Function for Quantum Walks
JO  - Recent Progress in Materials
SP  - 002
VL  - 02
IS  - 01
AB  - A relativistic Wigner function for free Discrete Time Quantum Walks (DTQWs) on the square 2D space-time lattice is defined. The transport equation obeyed by the relativistic Wigner function is derived in terms of discrete derivatives and degenerates in the continuum limit into the transport equation obeyed by the Wigner function of 2D Dirac fermions. The first corrections to the continuous equation induced by the discreteness of the lattice are also determined and the similarities with non-quantum relativistic transport in phase space are discussed further.
SN  - 2689-5846
UR  - https://doi.org/10.21926/rpm.2001002
DO  - 10.21926/rpm.2001002
ID  - Debbasch2020
ER  -