A Statistical Theory of Designed Quantum Transport Across Disordered Networks
arXiv:1409.2626 · doi:10.1103/PhysRevE.91.042137
Abstract
We explain how centrosymmetry, together with a dominant doublet in the local density of states, can guarantee interference-assisted, strongly enhanced, strictly coherent quantum excitation transport between two predefined sites of a random network of two-level systems. Starting from a generalisation of the chaos assisted tunnelling mechanism, we formulate a random matrix theoretical framework for the analytical prediction of the transfer time distribution, of lower bounds of the transfer efficiency, and of the scaling behaviour of characteristic statistical properties with the size of the network.
arXiv comment23 pages, 8 figures
References in corpus (28)
- Quantum Computation and Decision Trees
- Perfect state transfer in quantum spin networks
- Universal computation by quantum walk
- Dephasing assisted transport: Quantum networks and biomolecules
- Periodic Orbit Theory and Spectral Statistics for Quantum Graphs
- Architectural considerations in the design of a superconducting quantum annealing processor
- Coherent Backscattering of Light by Cold Atoms
- Anderson localization in Bose-Einstein condensates
- Entanglement in a quantum annealing processor
- Macroscopic coherence of a single exciton state in a polydiacetylene organic quantum wire
- Efficient and coherent excitation transfer across disordered molecular networks
- Quantum resonances and decoherence for delta-kicked atoms
- Resonance-assisted tunneling in near-integrable systems
- Parallelizing Quantum Circuits
- Noise resistance of adiabatic quantum computation using random matrix theory
- Resonance-Assisted Tunneling
- The Level Splitting Distribution in Chaos-assisted Tunneling
- Optimally designed quantum transport across disordered networks
- Ionization via Chaos Assisted Tunneling
- Coherent backscattering of Bose-Einstein condensates in two-dimensional disorder potentials
- Driven Quantum Walks
- The Spectral Backbone of Excitation Transport in Ultra-Cold Rydberg Gases
- Ericson fluctuations in an open, deterministic quantum system: theory meets experiment
- Structure-dynamics relationship in coherent transport through disordered systems
- Nondispersive two-electron wave packets in driven helium
- Signatures of Anderson localization in the ionization rates of periodically driven Rydberg states
- Level Curvature distribution in a model of two uncoupled chaotic subsystems
- Interaction effects on dynamical localization in driven helium
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- Effective dynamics of disordered quantum systems
- Efficient quantum transport in disordered interacting many-body networks
- Robustness of optimal transport in disordered interacting many-body networks
- Quantum transport efficiency in noisy random-removal and small-world networks
- On optimal currents of indistinguishable particles
- Transfer efficiency enhancement and eigenstate properties in locally symmetric disordered finite chains
- Which-way interference within biomimetic unit-cells for efficient energy transfer
- Scattering Theory of Efficient Quantum Transport across Finite Networks