Wave theory of the Mach-Zehnder interferometer

Zsolt Papp, Péter Várlaki, László Nádai

Atirach Ritboon, Chalongrat Daengngam, Teparksorn Pengpan

Mario Junior Mencagli, Nasim Mohammadi Estakhri, Brian E. Edwards +1 more

We present how waves in ensembles of Mach-Zehnder interferometers (MZIs) can be utilized to perform mathematical operations and solve integral equations with kernels that can be reconfigured by adjusting phases in such MZIs.

Yunjin Choi, Justin Dressel, Andrew N. Jordan

Siddharth Singh, Rohan Katti

In this paper, a Mach–Zehnder interferometer is analyzed with a single photon Gaussian wave packet at one of its input ports and vacuum state at the other input port. Various noises arising in the Mach–Zehnder interferometer such as photon flux noise and quadrature noise are mathematically analyzed. The effect of variation in device parameters on the power spectral density at the output ports of the Mach–Zehnder interferometer is studied. It is observed that the power spectral density of photon flux noise autocorrelation at the output ports of a Mach–Zehnder interferometer is a function of phase shift, whereas the power spectral density of quadrature noise autocorrelation at the output ports of a Mach–Zehnder interferometer is a function of frequency of a single photon wave packet and the phase shift. The analysis carried out in this paper will be helpful in understanding the quantum fluctuations in the design of quantum logic devices and circuits where the Mach–Zehnder interferometer is a core building block.

Yanjun Liu, Mei-Ya Wang, Zhongcheng Xiang +1 more

We study the wave–particle duality in a general Mach–Zehnder interferometer with an asymmetric beam splitter from the viewpoint of quantum information theory. The correlations (including the classical correlation and the quantum correlation) between the particle and the which-path detector are derived when they are in pure state or mixed state at the output of Mach–Zehnder interferometer. It is found that the fringe visibility and the correlations are effected by the asymmetric beam splitter and the input state of the particle. The complementary relations between the fringe visibility and the correlations are also presented.