Photon-induced droplet-like bound states in one-dimensional qubit array
- URL: http://arxiv.org/abs/2307.05868v1
- Date: Wed, 12 Jul 2023 01:46:55 GMT
- Title: Photon-induced droplet-like bound states in one-dimensional qubit array
- Authors: J. Talukdar, D. Blume
- Abstract summary: We study the bandgap regime where the energy of two excited qubits is off-resonant with the two-photon bound state band.
A two-step adiabatic elimination of the photonic degrees of freedom gives rise to a one-dimensional spin Hamiltonian with effective interactions.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We consider an array of $N_e$ non-interacting qubits or emitters that are
coupled to a one-dimensional cavity array with tunneling energy $J$ and
non-linearity of strength $U$. The number of cavities is assumed to be larger
than the number of qubits. Working in the two-excitation manifold, we focus on
the bandgap regime where the energy of two excited qubits is off-resonant with
the two-photon bound state band. A two-step adiabatic elimination of the
photonic degrees of freedom gives rise to a one-dimensional spin Hamiltonian
with effective interactions; specifically, the Hamiltonian features constrained
single-qubit hopping and pair hopping interactions not only between nearest
neighbors but also between next-to-nearest and next-to-next-to-nearest spins.
For a regularly arranged qubit array, we identify parameter combinations for
which the system supports novel droplet-like bound states whose characteristics
depend critically on the pair hopping. The droplet-like states can be probed
dynamically. The bound states identified in our work for off-resonance
conditions are distinct from localized hybridized states that emerge for
on-resonance conditions.
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