We propose a scheme for a chip-based dynamic micro atom trap where the trap potentials are created by square wave radiation and an inhomogeneoas static magnetic field. The parameters of this kind of trap array can be ...We propose a scheme for a chip-based dynamic micro atom trap where the trap potentials are created by square wave radiation and an inhomogeneoas static magnetic field. The parameters of this kind of trap array can be modulated dynamically. Both one-dimensional （I-D） and two-dimensional （2-D） trap array potentials for 6Li atoms are discussed. The 1-D trap is combined by a square wave radiation （6 kHz） and a gradient magnetic field （300G/cm）, the array constant of 1-D trap is 0.85 μm. Since the trap array does not require any laser field, it can be easily integrated on a chip and it is useful in applications of scalable quantum information processing.展开更多
We investigate the first law of thermodynamics in the case of the （2 ＋ 1）-dimensional Banados Teitelboim-Zanelli black holes and Kerr-de Sitter spacetimes. In particular, we focus on the integral mass formulas. It ...We investigate the first law of thermodynamics in the case of the （2 ＋ 1）-dimensional Banados Teitelboim-Zanelli black holes and Kerr-de Sitter spacetimes. In particular, we focus on the integral mass formulas. It is found that by assuming the cosmological constant as a variable state parameter, both the differential and integral mass formulas of the first law of black hole thermodynamics in the asymptotic fiat spacetimes can be directly extended to those of rotating black holes in anti-de Sitter and de Sitter backgrounds. It should be pointed that these formulae come into existence in any dimensions.展开更多
基金Supported by the National Basic Research Program of China under Grant Nos 2005CB724505/1 and 2006CB921203, the National Natural Science Foundation of China under Grant No 10774160, and Wuhan National Laboratory for Optoelectronics under Grant No P080001.
文摘We propose a scheme for a chip-based dynamic micro atom trap where the trap potentials are created by square wave radiation and an inhomogeneoas static magnetic field. The parameters of this kind of trap array can be modulated dynamically. Both one-dimensional （I-D） and two-dimensional （2-D） trap array potentials for 6Li atoms are discussed. The 1-D trap is combined by a square wave radiation （6 kHz） and a gradient magnetic field （300G/cm）, the array constant of 1-D trap is 0.85 μm. Since the trap array does not require any laser field, it can be easily integrated on a chip and it is useful in applications of scalable quantum information processing.
文摘We investigate the first law of thermodynamics in the case of the （2 ＋ 1）-dimensional Banados Teitelboim-Zanelli black holes and Kerr-de Sitter spacetimes. In particular, we focus on the integral mass formulas. It is found that by assuming the cosmological constant as a variable state parameter, both the differential and integral mass formulas of the first law of black hole thermodynamics in the asymptotic fiat spacetimes can be directly extended to those of rotating black holes in anti-de Sitter and de Sitter backgrounds. It should be pointed that these formulae come into existence in any dimensions.
