One- and two-axis squeezing via laser coupling in an atomic Fermi-Hubbard model
T. Hern\'andez Yanes, M. P{\l}odzie\'n, M. Mackoit Sinkevi\v{c}ien\.e,, G. \v{Z}labys, G. Juzeli\=unas, E. Witkowska

TL;DR
This paper demonstrates how laser coupling in an atomic Fermi-Hubbard model can produce spin-squeezed states, achieving near-Heisenberg-limited squeezing through one- and two-axis twisting mechanisms.
Contribution
It introduces a method to generate spin-squeezed states in ultracold fermions using position-dependent laser coupling to simulate one- and two-axis twisting models.
Findings
Single laser coupling simulates one-axis twisting.
Adding a second laser enables two-axis counter-twisting.
Approaches Heisenberg-limited squeezing.
Abstract
We study a production of spin-squeezed states with ultra-cold atomic fermions described by the Fermi-Hubbard model in the Mott insulating phase. We show activation of two twisting mechanisms by a position-dependent laser coupling between internal degrees of freedom of atoms. A single laser coupling simulates the one-axis twisting model with the orientation of the twisting axis determined by the coupling phase. Adding a second laser beam with a properly chosen phase paves the way to simulate the two-axis counter-twisting model, enabling to approach the Heisenberg-limited level of squeezing.
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