CAVITY QUANTUM ELECTRODYNAMICS OF COMPETING ONE AND TWO PHOTON PROCESSES

1996 ◽  
Vol 10 (09) ◽  
pp. 385-391
Author(s):  
AMITABH JOSHI
Keyword(s):  
Electromagnetic Field ◽  
Quantum Electrodynamics ◽  
Dynamical Evolution ◽  
Single Mode ◽  
Cavity Quantum Electrodynamics ◽  
Rabi Splitting ◽  
New Model ◽  
Two Photon ◽  
Photon Transition ◽  
Vacuum Rabi Splitting

We consider a new model of cavity quantum electrodynamics consisting of the interaction of a single mode of electromagnetic field with two non-identical two-level atoms undergoing one and two photon transition respectively in an ideal cavity. The exact analytic results for the vacuum Rabi splitting and the dynamical evolution of the model are given.

TWO-PHOTON NONLINEAR INTERACTION MEDIATED BY CAVITY QUANTUM ELECTRODYNAMICS SYSTEMS

2006 ◽  
Vol 20 (18) ◽  
pp. 2451-2490 ◽  
Author(s):  
KAZUKI KOSHINO ◽  
HAJIME ISHIHARA
Keyword(s):  
Quantum Electrodynamics ◽  
Cavity Qed ◽  
Shape Control ◽  
Single Mode ◽  
Optical Nonlinearity ◽  
Cavity Quantum Electrodynamics ◽  
Recent Analysis ◽  
Space Representation ◽  
Two Photon ◽  
Field Amplification

Exploiting the field-amplification effect of a cavity, the possibility of optical nonlinearity by only two photons was indicated experimentally. In the present article, we review our recent analysis of the two-photon dynamics in a cavity quantum electrodynamics (QED) system. Since a cavity-QED system is highly dispersive around its resonances, the shapes of photonic pulses are significantly deformed through interaction with the system. Thus, the present analysis is based on a formalism beyond single-mode approximations. The external photon field is treated rigorously as a continuum, which enables us to handle the two-photon wavefunction in the space representation. The degree of optical nonlinearity in a two-photon state is quantified by comparing the output wavefunction with the linear output wavefunction. It is revealed that the semiclassical optical response theory can be applied for evaluation of the two-photon optical nonlinearity. The two-photon nonlinearity appears not purely as a phase shift in the output wavefunction. The degradation of the fidelity between the output wavefunction and the linear output wavefunction always occurs, which hinders the application of this nonlinear effect as a quantum phase gate. The optimum condition for maximizing the two-photon nonlinearity is clarified, suggesting that pulse shape control is more essential than the Q-value control of the cavity QED system.

scholarly journals Non-Markovian features in semiconductor quantum optics: quantifying the role of phonons in experiment and theory

Nanophotonics ◽  
2019 ◽  
Vol 8 (5) ◽  
pp. 655-683 ◽  
Author(s):  
Alexander Carmele ◽  
Stephan Reitzenstein
Keyword(s):  
Quantum Electrodynamics ◽  
Theoretical Models ◽  
Cavity Quantum Electrodynamics ◽  
Heisenberg Equation ◽  
Linear Absorption ◽  
Electron Phonon Interaction ◽  
Two Photon ◽  
Quantum State Preparation ◽  
Path Integral Method

AbstractWe discuss phonon-induced non-Markovian and Markovian features in QD-based quantum nanooptics. We cover lineshapes in linear absorption experiments, phonon-induced incoherence in the Heitler regime, and memory correlations in two-photon coherences. To qualitatively and quantitatively understand the underlying physics, we present several theoretical models that capture the non-Markovian properties of the electron–phonon interaction accurately in different regimes. Examples are the Heisenberg equation of motion approach, the polaron master equation, and Liouville propagator techniques in the independent boson limit and beyond via the path integral method. Phenomenological modeling overestimates typically the dephasing due to the finite memory kernel of phonons and we give instructive examples of phonon-mediated coherence such as phonon-dressed anticrossings in Mollow physics, robust quantum state preparation, cavity feeding, and the stabilization of the collapse and revival phenomenon in the strong coupling limit of cavity quantum electrodynamics.

INTERACTION OF A THREE-LEVEL ATOM WITH A SINGLE-MODE FIELD IN A TWO PHOTON RESONANT CAVITY

2011 ◽  
Vol 25 (03) ◽  
pp. 417-431
Author(s):  
DEBRAJ NATH ◽  
P. K. DAS
Keyword(s):  
Electromagnetic Field ◽  
Resonant Cavity ◽  
Single Mode ◽  
Atomic Level ◽  
Atomic Inversion ◽  
Cooperative Effects ◽  
Two Photon ◽  
Mode Field ◽  
Level Atom ◽  
Successive Passage

In this paper we discuss an extension of Jaynes–Cummings model by adding a further atomic level to support a second resonance and cooperative effects in multi-atom systems. A successive passage of a three-level atom in the V configuration interacting with one quantized mode of electromagnetic field in a cavity will be considered to study atomic inversion and entropy evolution of the state.

scholarly journals Two-Photon Gateway in One-Atom Cavity Quantum Electrodynamics

2008 ◽  
Vol 101 (20) ◽  
Author(s):  
A. Kubanek ◽  
A. Ourjoumtsev ◽  
I. Schuster ◽  
M. Koch ◽  
P. W. H. Pinkse ◽  
...  
Keyword(s):  
Quantum Electrodynamics ◽  
Cavity Quantum Electrodynamics ◽  
Two Photon

scholarly journals QUANTUM COMPUTATION WITH GENERALIZED BINOMIAL STATES IN CAVITY QUANTUM ELECTRODYNAMICS

2009 ◽  
Vol 07 (supp01) ◽  
pp. 155-162 ◽  
Author(s):  
ROSARIO LO FRANCO ◽  
GIUSEPPE COMPAGNO ◽  
ANTONINO MESSINA ◽  
ANNA NAPOLI
Keyword(s):  
Quantum Computation ◽  
Quantum Electrodynamics ◽  
Rydberg Atoms ◽  
Cavity Quantum Electrodynamics ◽  
Qubit State ◽  
High Q ◽  
Two Photon ◽  
Universal Quantum

We study universal quantum computation in the cavity quantum electrodynamics (CQED) framework exploiting two orthonormal two-photon generalized binomial states as qubit and dispersive interactions of Rydberg atoms with high-Q cavities. We show that an arbitrary qubit state may be generated and that controlled-NOT and 1-qubit rotation gates can be realized via standard atom-cavity interactions.

Quantum Radiation Field: Spontaneous Emission and Entangled Photons

2021 ◽  
pp. 247-273
Author(s):  
Duncan G. Steel
Keyword(s):  
Electromagnetic Field ◽  
Excited State ◽  
Radiation Field ◽  
Quantum Electrodynamics ◽  
Equations Of Motion ◽  
Single Mode ◽  
Vacuum Field ◽  
Level System ◽  
Quantum Radiation ◽  
System P

One of the greatest successes in quantum theory, and certainly one of the more important parts for application to devices and applications is the prediction of the emission of light through the quantization of an electromagnetic field. Broadly, this is the field of quantum electrodynamics. In this chapter, we develop the Hamiltonian for the classical electromagnetic field. It is seen that the Hamiltonian for each mode (identified by the k-vector and polarization of the field) of the plane wave electromagnetic field is identical to that of the harmonic oscillator. One unit of energy, ℏω, in a mode is a called a photon. The eigenkets for the system are number states (Fock states). We then consider a two-level system described by a Hamiltonian which couples the two-level quantum system to the quantized electromagnetic field. Using the Weisskopf–Wigner formalism developed in Chapter 14, we solve the equations of motion for the time dependent Schrödinger equation assuming the system starts in the excited state with no radiation present in the vacuum field. The results show the creation of one unit of energy in an electromagnetic mode corresponding to the emission of a photon. The excited state probability decays exponentially with the emission of this photon. We consider the important and special case of such a two-level system but in a cavity restricting the radiation field to a single mode. The Jaynes–Cummings Hamiltonian shows that this system, if started in the excited state, Rabi oscillates with no radiation incident on the system.

COHERENT TWO-PHOTON PULSE PROPAGATION THROUGH A COHERENTLY PREPARED MEDIUM

2001 ◽  
Vol 15 (20) ◽  
pp. 857-865 ◽  
Author(s):  
AMITABH JOSHI
Keyword(s):  
Electromagnetic Field ◽  
Pulse Propagation ◽  
Atomic Coherence ◽  
Bloch Equations ◽  
Two Photon ◽  
Photon Transition ◽  
Photon Pulse ◽  
Maxwell Bloch Equations

Propagation of pulses through a medium comprising of coherently prepared two-level atoms undergoing two-photon transition has been studied using Maxwell–Bloch equations. The solution of the electromagnetic field envelopes has been obtained under various conditions and the effect of initial atomic coherence is clearly brought out in these solutions.

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