Limit distribution of a continuous-time quantum walk with a spatially
2-periodic Hamiltonian
- URL: http://arxiv.org/abs/2304.06464v2
- Date: Sun, 3 Sep 2023 14:11:41 GMT
- Title: Limit distribution of a continuous-time quantum walk with a spatially
2-periodic Hamiltonian
- Authors: Takuya Machida
- Abstract summary: We analyze a probability distribution with which the quantum walker is observed at a position.
The walker launches off at a localized state and its system is operated by a spatially periodic Hamiltonian.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Focusing on a continuous-time quantum walk on $\mathbb{Z}=\left\{0,\pm 1,\pm
2,\ldots\right\}$, we analyze a probability distribution with which the quantum
walker is observed at a position. The walker launches off at a localized state
and its system is operated by a spatially periodic Hamiltonian. As a result, we
see an asymmetric probability distribution. To catch a long-time behavior, we
also try to find a long-time limit theorem and realize that the limit
distribution holds a symmetric density function.
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