Noisy quantum walks of two indistinguishable interacting particles
arXiv:1610.04180 · doi:10.1103/PhysRevA.95.022106
Abstract
We investigate the dynamics of continuous-time two-particle quantum walks on a one-dimensional noisy lattice. Depending on the initial condition, we show how the interplay between particle indistinguishability and interaction determines distinct propagation regimes. A realistic model for the environment is considered by introducing non-Gaussian noise as time-dependent fluctuations of the tunneling amplitudes between adjacent sites. We observe that the combined effect of particle interaction and fast noise (weak coupling with the environment) provides a faster propagation compared to the noiseless case. This effect can be understood in terms of the band structure of the Hubbard model, and a detailed analysis as a function of both noise and system parameters is presented.
9 pages, 8 figures
References in corpus (15)
- Environment-Assisted Quantum Walks in Photosynthetic Energy Transfer
- Universal computation by quantum walk
- Quantum walks of correlated particles
- Dephasing assisted transport: Quantum networks and biomolecules
- Spatial search by quantum walk
- Quantum Walk in Position Space with Single Optically Trapped Atoms
- Repulsively bound atom pairs in an optical lattice
- Strongly Correlated Quantum Walks in Optical Lattices
- Quantum Correlations in Two-Particle Anderson Localization
- Two-particle states in the Hubbard model
- Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions
- Coined quantum walks on percolation graphs
- Transport properties of continuous-time quantum walks on Sierpinski fractals
- Bound states and expansion dynamics of interacting bosons on a one-dimensional lattice
- Quantum correlations in continuos-time quantum walks of two indistinguishable particles
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