Periodic jumps in binary lattices with a static force
- URL: http://arxiv.org/abs/2310.17873v2
- Date: Tue, 14 Nov 2023 15:17:18 GMT
- Title: Periodic jumps in binary lattices with a static force
- Authors: Liwei Duan
- Abstract summary: We investigate the dynamics of a particle in a binary lattice with staggered on-site energies.
An additional static force is introduced which further adjusts the on-site energies.
The binary lattice appears to be unrelated to the semiclassical Rabi model, which describes a periodically driven two-level system.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We investigate the dynamics of a particle in a binary lattice with staggered
on-site energies. An additional static force is introduced which further
adjusts the on-site energies. The binary lattice appears to be unrelated to the
semiclassical Rabi model, which describes a periodically driven two-level
system. However, in a certain parity subspace, the Floquet Hamiltonian of the
semiclassical Rabi model can be exactly mapped to that of the binary lattice.
These connections provide a different perspective for analyzing lattice
systems. At resonance, namely that the mismatch of on-site energies between
adjacent sites is nearly multiple of the strength of the static force, the
level anticrossing occurs. This phenomenon is closely related to the
Bloch-Siegert shift in the semiclassical Rabi model. At the $n$th order
resonance, an initially localized particle exhibits periodic jumps between site
$0$ and site $(2n+1)$, rather than continuous hopping between adjacent sites.
The binary lattice with a static force serves as a bridge linking condensed
matter physics and quantum optics, due to its connection with the semiclassical
Rabi model.
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