Quantum Fabry-Perot Resonator: Extreme Angular Selectivity in Matter-Wave Tunneling

2019 ◽  
Vol 12 (5) ◽  
Author(s):  
Constantinos Valagiannopoulos
2020 ◽  
Vol 10 (1) ◽  
Author(s):  
P. Manju ◽  
K. S. Hardman ◽  
P. B. Wigley ◽  
J. D. Close ◽  
N. P. Robins ◽  
...  

Abstract We numerically demonstrate atomic Fabry–Perot resonances for a pulsed interacting Bose–Einstein condensate (BEC) source transmitting through double Gaussian barriers. These resonances are observable for an experimentally-feasible parameter choice, which we determined using a previously-developed analytical model for a plane matter-wave incident on a double rectangular barrier system. Through numerical simulations using the non-polynomial Schödinger equation—an effective one-dimensional Gross–Pitaevskii equation—we investigate the effect of atom number, scattering length, and BEC momentum width on the resonant transmission peaks. For $$^{85}$$ 85 Rb atomic sources with the current experimentally-achievable momentum width of $$0.02 \hbar k_0$$ 0.02 ħ k 0 [$$k_0 = 2\pi /(780~\text {nm})$$ k 0 = 2 π / ( 780 nm ) ], we show that reasonably high contrast Fabry–Perot resonant transmission peaks can be observed using (a) non-interacting BECs, (b) interacting BECs of $$5 \times 10^4$$ 5 × 10 4 atoms with s-wave scattering lengths $$a_s=\pm 0.1a_0$$ a s = ± 0.1 a 0 ($$a_0$$ a 0 is the Bohr radius), and (c) interacting BECs of $$10^3$$ 10 3 atoms with $$a_s=\pm 1.0a_0$$ a s = ± 1.0 a 0 . Our theoretical investigation impacts any future experimental realization of an atomic Fabry–Perot interferometer with an ultracold atomic source.


2000 ◽  
Vol 10 (PR8) ◽  
pp. Pr8-251
Author(s):  
L. Menez ◽  
I. Zaquine ◽  
A. Maruani ◽  
R. Frey
Keyword(s):  

1967 ◽  
Vol 28 (C2) ◽  
pp. C2-230-C2-238
Author(s):  
G. I. KATCHEN ◽  
J. KATZENSTEIN ◽  
L. LOVISETTO
Keyword(s):  

1967 ◽  
Vol 28 (C2) ◽  
pp. C2-321-C2-321
Author(s):  
J. V. RAMSAY

1967 ◽  
Vol 28 (C2) ◽  
pp. C2-280-C2-286 ◽  
Author(s):  
D. J. BRADLEY ◽  
B. BATES ◽  
C . O. L. JUULMAN ◽  
T. KOHNO

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