Stationary One-way Quantum Steering Of Optical Fields Coupled To Three-level Atoms Inside A Cavity

Quantum steering correlation describes two particles that are far apart,and the local measurement of the particle held by one of them can manipulate the state of the particle held by the other.This correlation represents an essentially asymmet-ric correlation,which is between quantum entanglement and Bell's nonlocality.In this paper,we realize the steady-state unidirectional quantum steering of the intra-cavity and the output cavity by using a three-level ?-type atom reservior.In our scheme,two dipoles allow transitions of an atomic ensemble to be driven by two external classical fields,respectively,while generating cavity mode fields in two side-band.According to the dressed state representation and Bogoliubov mode method,a two-channel coupling is generated between the dressed atom and the transformed Bogoliubov mode.Two Bogoliubov modes are cooled to a vacuum state using the atomic ensemble as a dissipative reservoir,and the original cavity mode is squeezed.The equations of motion of the cavity mode field and the dressed atoms are obtained by the Heisenberg-Langevin method.The second moment of the cavity field is ob-tained by the standard method.The quantum entanglement and quantum steering correlations of the cavity field are analyzed according to the quantum entanglement criterion and the quantum steering criterion.In addition,we use the same method to analyze the unidirectional quantum steering of the cavity field according to the input-output relationship.This asymmetrical quantum steering correlation has been used in directional teleportation,secure cryptographic communication,single-ended devices independent of key distribution schemes,and other important applications in quantum information processing.