We consider the open Jaynes-Cummings model driven on the two{photon resonance, in the regime of very strong coupling. The open nature of the system means that loss of photons through the cavity mirrors as well as through spontaneous emission is allowed for. A variety of interesting quantum{optical phenomena have already been found to occur in this system. Specifically, behaviour indicative of a multiphoton blockade has been observed, and the system undergoes a transition from strongly bunched to antibunched light production as the drive strength is increased. In this thesis, we examine the possibility of finding squeezed light in the cavity output field, through numerical simulations and an analytic model of the system. For this purpose, calculations exploring squeezing of the cavity internal mode in the system steady{state are performed, and the squeezing spectrum of the cavity output field is computed. In addition to the two{photon resonance, the Jaynes-Cummings model with the atom, cavity mode and external drive all resonant is considered. The quasienergies and quasienergy states for this system are known, and exhibit interesting behaviour with regards to squeezing as a certain critical point in the drive strength is approached. We explore the possibility of performing an adiabatic following of the system ground state in order to obtain squeezing of the cavity internal mode, both in the presence and absence of damping.

Covers the new field of squeezing in quantum fields, encompassing all types of systems in which quantum fluctuations are reduced below those in the normal vacuum state. The first comprehensive overview of the field, it presents the currently known techniques of generating squeezed photon fields, together with treatments of matter field squeezing. Both theory and experiments are treated, together with applications to communications and measurement.

"We present a generic cavity quantum electrodynamics (QED) set-up that can generate different types of strong multipartite entanglement. The proposed system is already accessible at the experimental level in different cavity QED architectures as it only involves a spin ensemble weakly coupled to a two-photon driven cavity. The first entangling scheme we propose, the dark-mode assisted protocol (DMAP), consists in transferring the squeezing from the cavity to the spin ensemble. The resulting spin squeezed state (with a Kitawaga spin squeezing parameter on the order of 10−2) has strong pairwise entanglement that is especially useful for quantum metrology. In a relatively short timescale (inversely proportional to the collective coupling strength), our scheme can almost reach the quantum Heisenberg limit (with a Wineland spin squeezing parameter close to 2/N), even for a few spins. Unlike one-axis twisting and two-axis countertwisting, the amount of spin squeezing generated by our scheme is not constrained by the number of spins. Our scheme is faster and doesn't suffer the oscillatory dynamics of one-axis twisting. We will also demonstrate how the DMAP can be analyzed as an adiabatic evolution even though achieving adiabaticity might seem impossible in our gapless system. In the second part of the thesis, we build on our previous work which showed that a two-photon drive can be used to simulate ultra-strong coupling in a standard cavity QED system where the cavity is weakly coupled to a single qubit. We extend this approach to a cavity weakly interacting with a spin ensemble and simulate the Dicke model, which is known to exhibit interesting quantum features such as strong entanglement and quantum phase transitions. The other entangling schemes we propose, make use of the simulated Dicke model: the realization of a Molmer-Sorenson gate, closely related to one-axis twisting, and the generation of large multipartite entangled cat-states. We demonstrate how our scheme can be used to prepare a remote entanglement protocol, a key ingredient in quantum information, where the weakly interacting Hamiltonian is used to grow a Greenberger-Horne-Zeilinger state which will then be transformed into an entangled-cat state by the simulated Dicke Hamiltonian. Finally we illustrate how our system can become an interesting platform to study superradiant phase transition and as well as the effects of squeezed input noise." --

With a new chapter on quantum entanglement and quantum information, as well as added discussions of the quantum beam splitter, electromagnetically induced transparency, slow light and the input-output formalism, this fourth edition of the brilliant work on quantum optics has been much updated. It still gives a self-contained and broad coverage of the basic elements necessary to understand and carry out research in laser physics and quantum optics, including a review of basic quantum mechanics and pedagogical introductions to system-reservoir interactions and to second quantization. The text reveals the close connection between many seemingly unrelated topics, such as probe absorption, four-wave mixing, optical instabilities, resonance fluorescence and squeezing.

This book provides an elementary introduction to the subject of quantum optics, the study of the quantum mechanical nature of light and its interaction with matter. The presentation is almost entirely concerned with the quantized electromagnetic field. Topics covered include single-mode field quantization in a cavity, quantization of multimode fields, quantum phase, coherent states, quasi-probability distribution in phase space, atom-field interactions, the Jaynes-Cummings model, quantum coherence theory, beam splitters and interferometers, dissipative interactions, nonclassical field states with squeezing etc., 'Schrödinger cat' states, tests of local realism with entangled photons from down-conversion, experimental realizations of cavity quantum electrodynamics, trapped ions, decoherence, and some applications to quantum information processing, particularly quantum cryptography. The book contains many homework problems and an extensive bibliography. This text is designed for upper-level undergraduates taking courses in quantum optics who have already taken a course in quantum mechanics, and for first and second year graduate students.

SPIE Milestones are collections of seminal papers from the world literature covering important discoveries and developments in optics and photonics.