Quantum theory of conditional phonon states in a dual-pumped Raman optical frequency comb
MetadataShow full item record
In this work, we theoretically and numerically investigate nonclassical phonon states created in the collective vibration of a Raman medium by the generation of a dual-pumped Raman optical frequency comb in an optical cavity. This frequency comb is generated by cascaded Raman scattering driven by two phase-locked pump lasers that are separated in frequency by three times the Raman phonon frequency. We characterize the variety of conditioned phonon states that are created when the number of photons in all optical frequency modes except the pump modes are measured. Almost all of these conditioned phonon states are extremely well approximated as three-phonon-squeezed states or Schrödinger-cat states, depending on the outcomes of the photon number measurements. We show how the combinations of first-, second-, and third-order Raman scattering that correspond to each set of measured photon numbers determine the fidelity of the conditioned phonon state with model three-phonon-squeezed states and Schrödinger-cat states. All of the conditioned phonon states demonstrate preferential growth of the phonon mode along three directions in phase space. That is, there are three preferred phase values that the phonon state takes on as a result of Raman scattering. We show that the combination of Raman processes that produces a given set of measured photon numbers always produces phonons in multiples of three. In the quantum number-state representation, these multiples of three are responsible for the threefold phase-space symmetry seen in the conditioned phonon states. With a semiclassical model, we show how this three-phase preference can also be understood in light of phase correlations that are known to spontaneously arise in single-pumped Raman frequency combs. Additionally, our semiclassical model predicts that the optical modes also grow preferentially along three phases, suggesting that the dual-pumped Raman optical frequency comb is partially phase-stabilized.
Showing items related by title, author, creator and subject.
United States. Forest Service. Pacific Northwest Region; Oregon. State Parks and Recreation Dept.; United States. Bureau of Land Management. Roseburg District Office (1992-07)Proposes five alternate management strategies. Alternative A emphasizes natural enhancement of the Outstandingly Remarkable Values (fishery, water quality and quantity, recreation, scenery and cultural resources), while ...
Dry Lake allotment rangeland restoration project finding of no significant impact and decision record United States. Bureau of Land Management. Three Rivers Resource Area; United States. Bureau of Land Management. Burns District (2007-04-06)Announces decision to implement proposal utilizing various methods of prescribed fire and mechanical treatments to control the spread of western juniper into four dominant vegetative community treatments: low/stiff sagebrush ...
United States. Bureau of Land Management. Burns District; United States. Bureau of Land Management. Three Rivers Resource Area (2006-09-20)Proposes to extend the permitted season of grazing from April 1-October 15 to March 1-October 15, and to implement three resource objectives. Includes maintaining all seeded areas in stable to upward trend in condition ...