Many-particle confinement by constructed disorder and quantum computing

Details Many-particle confinement by constructed disorder and quantum computing Many-particle confinement by constructed disorder and quantum computing

2005-07-20

arxiv.org/abs/cond-mat/0507493v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

An invited paper for the topical issue of J. Opt. B on quantum control

Scientific paper

10.1088/1464-4266/7/10/024

Many-particle confinement (localization) is studied for a 1D system of spinless fermions with nearest-neighbor hopping and interaction, or equivalently, for an anisotropic Heisenberg spin-1/2 chain. This system is frequently used to model quantum computers with perpetually coupled qubits. We construct a bounded sequence of site energies that leads to strong single-particle confinement of all states on individual sites. We show that this sequence also leads to a confinement of all many-particle states in an infinite system for a time that scales as a high power of the reciprocal hopping integral. The confinement is achieved for strong interaction between the particles while keeping the overall bandwidth of site energies comparatively small. The results show viability of quantum computing with time-independent qubit coupling.

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