List of Figures

• Lorentz Oscillator Model
• Sample plots of amplitude curves
• Sample plots of phase curves
• Particular Solution of Abraham--Lorentz Equation for Q = 100
• A Two--State Atom
• The Semiclassical Model
• Collision and Spontaneous Emission Constants
• The Bloch Vector
• BlochApp's Opening Screen
• Rabi oscillation at Freq=1.00; Amp=0.05,0.10,0.20
• Rabi oscillation at Amp=0.05; Freq=1.00,1.05,1.10
• Rabi oscillation in the rotating frame with Freq=1.00, Amp=0.05
• The components of the Bloch vector in the rotating frame with Freq=1.00, Amp=0.05
• Rabi oscillation in the Bloch vector picture with Amp=0.05; Freq=1.00,1.01,1.05,1.10
• Rabi oscillations including inelastic collisions Freq=1.00, Amp=0.05,and
• Rabi oscillations including elastic collisions Amp=0.10, Freq=1.00, and
• Rabi oscillations including spontaneous emission Freq=1.00, Amp=0.05, and A=0.01
• The transverse lifetime of the system for Freq=1.00, Amp=0.00, and
• Free induction decay for Freq=1.00, Amp=0.00, A=0.01, and
• A Pulse inverts the population.
• The effect of detuning on a gaussian of area with Freq=1.00 ... 1.10
• The effect of detuning on a Pulse with Freq=1.00 ... 1.10
• The effect of detuning a hyperbolic secant of area with Freq=1.00 ... 1.20
• Graphs of Rabi oscillation with the RWA on and off with Freq=1.00, Amp=0.05
• Graphs of Rabi oscillation with the RWA on and off with Freq=1.00, Amp=0.50
• The path of the Bloch vector for Freq=1.00, Amp=0.50 when the RWA is off
• A frequency scan through resonance with the RWA on and Freq=1.00, Amp=0.05, =0.04, and A=0.08
• A frequency scan through resonance with RWA off and Freq=1.00, Amp=0.50, A=0.08
• The Squeezed Coherent State in Phase Space
• Opening Screen for FieldApp
• Examples of E vs z, the Wigner Function, and q, vs t
• Fock State, n=1; Thermal State, = 1; Coherent State, ; and Coherent Squeezed State, and r = 1
• q, vs t and p, vs t for a thermal state with temperature of one
• 2048 E and B measurements at t=0
• The Wigner function for a Coherent state for
• q, vs t and p, vs t for a Coherent state with .
• The Wigner function for a Squeezed Coherent state with and .
• q, vs t and p, vs t for a Squeezed Coherent state with and . The dip is due to the squeezing of the variances.
• The evolution of a thermal state with a temperature of one interacting with a reservoir of temperature one,
• The evolution of a thermal state with a temperature of one interacting with a reservoir of temperature one--half,
• The evolution of a thermal state with a temperature of one interacting with a reservoir at absolute zero,
• Analytical Solution to the Damping of a Fock State at n=99 and
• As a Coherent state with decays it loses its Poissonian character for
• The Wigner function for a Coherent state with as time increases.
• q, vs t and p, vs t show that the wave--like character of the coherent state disappears as the state decays.
• and increase as the Coherent state decays.
• As a Coherent state with decays it does not lose its Poissonian character at
• q, vs t and p, vs t show that the wave--like character of the Squeezed Coherent state with and disappears as the state decays.
• The squeezed variance() increases, while the stretched variance() decreases with and .
• The Wigner function for a Squeezed Coherent state with and as time increases.
• Opening Screen for JCApp
• Opening Screen for QEDApp
• The oscillation of the atom when both the atom and field are in the ground state at g=1.00,g=0.50,g=0.25 with RWA off.
• A thermal state has a chaotic character.
• The oscillation of the probability of an atom in the upper state interacting with a coherent state, =1.
• The oscillation of the probability of the lower state of an atom initially in the upper state interacting with a coherent state, =50
• The oscillation of the probability of the lower state of an atom initially in the upper state interacting with a squeezed coherent state, and .
• The probability of being in the lower state is profoundly affected by the field state. The upper plot shows a squeezed coherent state( and r=0) interacting with the atom, while the other shows a coherent state().