Decoherence of the two-mode squeezed vacuum state in a diffusion process

ABSTRACT

We have studied the case in which one mode of the light field in the two-mode squeezed vacuum state evolves in a diffusion channel. By virtue of thermo-entangled state representation and the technique of integration within an ordered product, the evolution formula of the field density operator is given. Its non-classical properties, such as squeezing effect, antibunching effect, the violation of Cauchy–Schwartze inequality and the entanglement property between two modes, are studied. The influences of the squeezing parameter and the dissipation time on the non-classical properties are discussed. The results obtained by the numerical method show that its non-classical properties are all weakened with the dissipation. On the other hand, its squeezing effect and the entanglement property between two modes are strengthened, but its antibunching effect and the violation of Cauchy–Schwartze inequality are weakened with the increase of the squeezing parameter.

KEYWORDS:

• Quantum optics
• two-mode squeezing vacuum state
• a diffusion process
• decoherence

PACC:

• 42.50
• 03.65

PACS:

• 03.65.Ud
• 42.50.Dv

Additional information

Funding

This work is supported by the Natural Science Foundation of Fujian Province of China (grant number 2015J01020).