Dynamical Spin Squeezing via Higher Order Trotter-Suzuki Approximation

Abstract

Here we provide a scheme of transforming the one-axis twisting Hamiltonian into the two-axis twisting one based on high order Trotter-Suzuki Approximation. Compared with the paper [Y. C. Liu et al., Phys. Rev. Lett. 107, 013601 (2011)], our method can reduce the number of controlling cycles from $1000$ to $50$. Moreover, it is also spin number independent and takes shorter optimal evolution time contrast with the method in the work [C. Shen et al., Phys. Rev. A 87, 051801 (2013)]. The corresponding error analysis is also provided.

6 pages, 7 figures

References in corpus (7)

• Entanglement detection
• Atom Interferometers
• Nonlinear atom interferometer surpasses classical precision limit
• Entanglement in a second order quantum phase transition
• Spin squeezing: transforming one-axis-twisting into two-axis-twisting
• Dynamic generation of spin-squeezed states in bosonic Josephson junctions
• Protecting and Enhancing Spin Squeezing via Continuous Dynamical Decoupling

Cited by in corpus (1)

• Two-axis spin squeezing of two-component BEC via a continuous driving