Quantum mold casting for topological insulating and edge states
- URL: http://arxiv.org/abs/2101.00597v1
- Date: Sun, 3 Jan 2021 10:02:48 GMT
- Title: Quantum mold casting for topological insulating and edge states
- Authors: X. M. Yang and Z. Song
- Abstract summary: We study the possibility of transferring fermions from a trivial system as particle source to an empty system.
We show that this can be realized by a non-Hermitian unidirectional hopping.
Our finding reveals a classical analogy of quench dynamics in quantum matter.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study the possibility of transferring fermions from a trivial system as
particle source to an empty system but at topological phase as a mold for
casting a stable topological insulator dynamically. We show that this can be
realized by a non-Hermitian unidirectional hopping, which connects a central
system at topological phase and a trivial flat-band system with a periodic
driving chemical potential, which scans over the valence band of the central
system. The near exceptional-point dynamics allows a unidirectional dynamical
process: the time evolution from an initial state with full-filled source
system to a stable topological insulating state approximately. The result is
demonstrated numerically by a source-assistant QWZ model and SSH chain in the
presence of random perturbation. Our finding reveals a classical analogy of
quench dynamics in quantum matter and provides a way for topological quantum
state engineering.
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