Franson interferometry with a single pulse

Abstract

In classical optics, interference occurs between two optical fields when they are indistinguishable from one another. The same holds true in quantum optics, where a particular experiment, the Franson interferometer, involves the interference of a photon pair with a time-delayed version of itself. The canonical version of this interferometer requires that the time delay be much shorter than the coherence length of the pump used to generate the photon pair, so as to guarantee indistinguishability. However, when this time delay is comparable to the coherence length, conventional wisdom suggests that interference visibility degrades significantly. In this work, though, we show that the interference visibility can be restored through judicious temporal post-selection. Utilizing correlated photon pairs generated by a pump whose pulsewidth (460 ps) is shorter than the interferometer’s time delay (500 ps), we are able to observe a fringe visibility of 97.4±4.3%. We believe this new method can be used for the encoding of high-dimensional quantum information in the temporal domain.

Keywords

quantum optics / quantum interference / nonlinear optics / optical fibers

References

[1] Hong C K, Ou Z Y, Mandel L. Measurement of subpicosecond time intervals between two photons by interference. Physical Review Letters, 1987, 59(18): 2044–2046

[2] Patel R B, Bennett A J, Farrer I, Nicoll C A, Ritchie D A, Shields A J. Two-photon interference of the emission from electrically tunable remote quantum dots. Nature Photonics, 2010, 4(9): 632–635

[3] Franson J D. Bell inequality for position and time. Physical Review Letters, 1989, 62(19): 2205–2208

[4] Kwiat P G, Steinberg A M, Chiao R Y. High-visibility interference in a Bell-inequality experiment for energy and time. Physical Review A, 1993, 47(4): R2472–R2475

[5] Ali-Khan I, Broadbent C J, Howell J C. Large-alphabet quantum key distribution using energy-time entangled bipartite states. Physical Review Letters, 2007, 98(6): 060503-1–060503-4

[6] Bell J S. On the Einstein-Podolsky-Rosen paradox. On The Foundations of Quantum Mechanics. Singapore: World Scientific Publishing Co., 2001, 7–12

[7] Marcikic I, de Riedmatten H, Tittel W, Scarani V, Zbinden H, Gisin N. Time-bin entangled qubits for quantum communication created by femtosecond pulses. Physical Review A, 2002, 66(6): 062308-1–062308-6

[8] Hayat A, Xing X, Feizpour A, Steinberg A M. Multidimensional quantum information based on single-photon temporal wavepackets. Optics Express, 2012, 20(28): 29174–29184

[9] Glauber R J. Coherent and incoherent states of the radiation field. Physical Review, 1963, 131(6): 2766–2788

[10] Zhu E Y, Tang Z, Qian L, Helt L G, Liscidini M, Sipe J E, Corbari C, Canagasabey A, Ibsen M, Kazansky P G. Poled-fiber source of broadband polarization-entangled photon pairs. Optics Letters, 2013, 38(21): 4397–4400

[11] Chen C, Zhu E Y, Riazi A, Gladyshev A V, Corbari C, Ibsen M, Kazansky P G, Qian L. Compensation-free broadband entangled photon pair sources. Optics Express, 2017, 25(19): 22667–22678

[12] Richardson W H. Bayesian-based iterative method of image restoration. Journal of the Optical Society of America, 1972, 62(1): 55–59

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