6533b7d3fe1ef96bd12609a6
RESEARCH PRODUCT
Quantum walk on a cylinder
Germán J. De ValcárcelEugenio RoldánLuis A. BruGiuseppe Di MolfettaGiuseppe Di MolfettaArmando PérezF. Silvasubject
High Energy Physics - Theorymass generationQuantum simulatorFOS: Physical sciencesQuantum entanglementGeneral Relativity and Quantum Cosmology (gr-qc)01 natural sciencesGeneral Relativity and Quantum Cosmology010305 fluids & plasmassymbols.namesake[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]0103 physical sciencesquantum walksQuantum walkBoundary value problem010306 general physicsEntropy (arrow of time)ComputingMilieux_MISCELLANEOUSquantum simulationPhysicsQuantum Physics[PHYS.HLAT]Physics [physics]/High Energy Physics - Lattice [hep-lat]Mass generationExtra dimensionsClassical mechanicsHigh Energy Physics - Theory (hep-th)Dirac equationsymbolsQuantum Physics (quant-ph)description
We consider the 2D alternate quantum walk on a cylinder. We concentrate on the study of the motion along the open dimension, in the spirit of looking at the closed coordinate as a small or "hidden" extra dimension. If one starts from localized initial conditions on the lattice, the dynamics of the quantum walk that is obtained after tracing out the small dimension shows the contribution of several components, which can be understood from the study of the dispersion relations for this problem. In fact, these components originate from the contribution of the possible values of the quasi-momentum in the closed dimension. In the continuous space-time limit, the different components manifest as a set of Dirac equations, with each quasi-momentum providing the value of the corresponding mass. We briefly discuss the possible link of these ideas to the simulation of high energy physical theories that include extra dimensions. Finally, entanglement between the coin and spatial degrees of freedom is studied, showing that the entanglement entropy clearly overcomes the value reached with only one spatial dimension.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-01-01 |