Phase matching inβ-barium borate crystals for spontaneous parametric down-conversion

被引:26
作者
Karan, Suman [1 ]
Aarav, Shaurya [1 ,4 ]
Bharadhwaj, Homanga [2 ,5 ,6 ]
Taneja, Lavanya [1 ,7 ]
De, Arinjoy [3 ,8 ]
Kulkarni, Girish [1 ,9 ]
Meher, Nilakantha [1 ]
Jha, Anand K. [1 ]
机构
[1] Indian Inst Technol Kanpur, Dept Phys, Kanpur 208016, Uttar Pradesh, India
[2] IIT Kanpur, Dept Comp Sci & Engn, Kanpur 208016, Uttar Pradesh, India
[3] IIT Kharagpur, Dept Phys, Kharagpur 721302, W Bengal, India
[4] Princeton Univ, Dept Elect Engn, Princeton, NJ 08544 USA
[5] Univ Toronto, Dept Comp Sci, Toronto, ON, Canada
[6] Vector Inst, Toronto, ON, Canada
[7] Univ Chicago, Dept Phys, Chicago, IL 60637 USA
[8] Univ Maryland, Dept Phys, College Pk, MD 20742 USA
[9] Univ Ottawa, Dept Phys, Ottawa, ON K1N 6N5, Canada
关键词
parametric down-conversion; phase matching; entanglement; orbital angular momentum; ORBITAL ANGULAR-MOMENTUM; BELL-INEQUALITY; QUANTUM-THEORY; SUGGESTED INTERPRETATION; ENTANGLED PHOTONS; LIGHT-BEAMS; POLARIZATION; INTERFERENCE; CRYPTOGRAPHY; GENERATION;
D O I
10.1088/2040-8986/ab89e4
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Spontaneous parametric down-conversion (SPDC) is the most widely used process for generating photon pairs entangled in various degrees of freedom such as polarization, time-energy, position-transverse momentum, and angle-orbital angular momentum (OAM). In SPDC, a pump photon interacts with a non-linear optical crystal and splits into two entangled photons called the signal and the idler photons. The SPDC process has been studied extensively in the last few decades for various pump and crystal configurations, and the entangled photon pairs produced by SPDC have been used in numerous experimental studies on quantum entanglement and entanglement-based real-world quantum-information applications. In this tutorial article, we present a thorough study of phase matching in BBO crystals for spontaneous parametric down-conversion and thereby also investigate the generation of entangled photons in such crystals. First, we present a theoretical derivation of two-photon wavefunction produced by SPDC in the frequency and transverse momentum bases. We then discuss in detail the effects due to various crystal and pump parameters including the length of the crystal, the angle between the optic axis and the pump propagation direction, the pump incidence angle on the crystal surface, the refraction at the crystal surfaces, and the pump propagation direction inside the crystal. These effects are extremely relevant in experimental situations. We then present our numerical and experimental results in order to illustrate how various experimental parameters affect the phase matching and thus the generation of entangled photons. Finally, using the two-photon wavefunction in the transverse wave-vector basis, we show how to derive the two-photon wavefunction in the OAM basis and thereby calculate the two-photon angular Schmidt spectrum. We expect this article to be useful for researchers working in various capacities with entangled photons generated by SPDC in BBO crystals.
引用
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页数:20
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