In this paper,we study quadrature squeezings of two Bose-Einstein condensates with collision and non- classical properties of pair entanglement in four wave mixing in Bose-Einstein condensates.With the aid of a numeri...In this paper,we study quadrature squeezings of two Bose-Einstein condensates with collision and non- classical properties of pair entanglement in four wave mixing in Bose-Einstein condensates.With the aid of a numerical method,we find that the two modes(pair entanglement modes)α_1 and α_2 may exhibit quadrature squeezing,in which they are affected by the initial phase.It is shown that the two pump modes exhibit the same super-Poissonian distri- bution.The analysis for the mode-mode correlation shows that there always exists a violation of the Cauchy-Schwartz inequality,which means that correlation between the two pump modes is nonclassical.展开更多
The coupling-wave equations of photorefractive wave mixing processes including two-and four-wave mixing are expressed as an unified matrix equation in the undepleted pump approximation.The lossless general solution of...The coupling-wave equations of photorefractive wave mixing processes including two-and four-wave mixing are expressed as an unified matrix equation in the undepleted pump approximation.The lossless general solution of the matrix equation is obtained.The previous formulas of five wave-mixing processes in the undepleted pump are derived from the solution when their boundary conditions are used.展开更多
基金Supported by National Basic Research Program of China(2010CB327605)the Specialized Research Fund for the Doctoral Program of Higher Education(20120005120021)+2 种基金the Fundamental Research Funds for the Central Universities(2013RC1202)the Program for New Century Excellent Talents in University(NECT-11-0596)Beijing Nova program(2011066)
文摘In this paper,we study quadrature squeezings of two Bose-Einstein condensates with collision and non- classical properties of pair entanglement in four wave mixing in Bose-Einstein condensates.With the aid of a numerical method,we find that the two modes(pair entanglement modes)α_1 and α_2 may exhibit quadrature squeezing,in which they are affected by the initial phase.It is shown that the two pump modes exhibit the same super-Poissonian distri- bution.The analysis for the mode-mode correlation shows that there always exists a violation of the Cauchy-Schwartz inequality,which means that correlation between the two pump modes is nonclassical.
文摘The coupling-wave equations of photorefractive wave mixing processes including two-and four-wave mixing are expressed as an unified matrix equation in the undepleted pump approximation.The lossless general solution of the matrix equation is obtained.The previous formulas of five wave-mixing processes in the undepleted pump are derived from the solution when their boundary conditions are used.