States of the Composed Modes
{"Image DocumentName": "States of the Composed Modes", "Image ImageDescription": "Coherent State. Fock State. Now, lets examine several interesting quantum states of these composed modes. First, the Glauber\u2019s coherent states. We use this diagram representation of state, where this axis is the number of photons in mode C, this is the number of photons in mode D, and color represents the absolute value of the amplitude of the Nc-Nd Fock term. The coherent state looks like this\u2026 A well known result of Glauber\u2019s is that in a coupled harmonic oscillators system, coherent state stays coherent all the time. So starting from a coherent state with a mean value of N photons, the dynamics looks like this\u2026. This state exhibit 100% visibility oscillations in the intensity expectation value, while the number uncertainty in (in the sense of the uncertainty principle) the composed modes, oscillates between zero and square-root of N. We now turn to a different initial state: The two independent Fock state of the original modes, A and B. This state looks like this in the composed mode representation, and it exhibit no expectation value oscillation. This trivial result is due to the fact that this state is an eigenvalue of our Hamiltonian. The number uncertainty in the composed modes for this state is of the order of N, much larger than the previous, square-root of N.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}