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Perfect Transfer of Many-Particle Quantum State via High-Dimensional Systems with Spectrum-Matched Symmetry
Authors:LI Ying  SONG Zhi  SUN Chang-Pu
Affiliation:1. Department of Physics, The Key Lab of Weak Light NonlinearPhotonics, Ministry of Education, Nankai University, Tianjin 300071, China;2. Institute of Theoretical Physics, the Chinese Academyof Sciences, Beijing 100080, China
Abstract:The quantum state transmission through the medium of high-dimensional many-particle system (boson or spinless fermion) is generally studied with a symmetry analysis. We discover that, if the spectrum of a Hamiltonianmatches the symmetry of a fermion or boson system in a certain fashion, aperfect quantum state transfer can be implemented without any operation onthe medium with pre-engineered nearest neighbor (NN). We also study a simplebut realistic near half-filled tight-binding fermion system with uniform NNhopping integral. We show that an arbitrary many-particle state near thefermi surface can be perfectly transferred to its translational counterpart.
Keywords:high-dimensional many-particle system   perfect quantum state transfer
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