Optimal spin squeezed steady state induced by the dynamics of non-hermtian Hamiltonians
Abstract
In this work, we study the time evolution of a Coherent Spin State under the action of a Non-hermitianHamiltonian. The Hamiltonian is modeled by a one-axis twisting term plus a Lipkin-type interaction. We show that when the Lipkin interaction is switched on, depending on the relative values of the coupling constants, the initial state evolves into a Steady Spin Squeezed State which minimizes the Uncertainty Relations, intelligent spin state. We apply this result to look for the generation of a steady intelligent spin state from an ensemble of nitrogen-vacancy colour centers in diamond coupled to a mechanical resonator.
- Publication:
-
Physica Scripta
- Pub Date:
- August 2019
- DOI:
- 10.1088/1402-4896/ab0fc0
- arXiv:
- arXiv:1809.02683
- Bibcode:
- 2019PhyS...94h5220R
- Keywords:
-
- non-hermitian dynamics;
- optimal spin squeezing;
- hybrid physical systems;
- one-axes twisting;
- Lipkin-type interactions;
- Quantum Physics
- E-Print:
- arXiv admin note: text overlap with arXiv:1101.4828 by other authors