AI Article Synopsis
- Discrete-time quantum walks can exhibit unique topological states, but losses in their environment can potentially disrupt these phases.
- Using a non-Hermitian Hamiltonian, we analyze how topological states behave in lossy environments and find that these states remain stable against moderate losses in one-dimensional quantum walks as long as a certain symmetry condition is met.
- In two-dimensional quantum walks, while the topological nature is maintained, the same symmetry condition does not apply; however, we do observe that losses can trigger a topological phase transition in this context.
Article Abstract
Discrete-time quantum walks are known to exhibit exotic topological states and phases. Physical realization of quantum walks in a lossy environment may destroy these phases. We investigate the behaviour of topological states in quantum walks in the presence of a lossy environment. The environmental effects in the quantum walk dynamics are addressed using the non-Hermitian Hamiltonian approach. We show that the topological phases of the quantum walks are robust against moderate losses. The topological order in one-dimensional split-step quantum walk persists as long as the Hamiltonian respects exact [Formula: see text]-symmetry. Although the topological nature persists in two-dimensional quantum walks as well, the [Formula: see text]-symmetry has no role to play there. Furthermore, we observe topological phase transition in two-dimensional quantum walks that is induced by losses in the system.
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Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC8119463 | PMC |
| http://dx.doi.org/10.1038/s41598-021-89441-8 | DOI Listing |
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