SU(1,1) SQUEEZED STATES AS DAMPED OSCILLATORS

1989 ◽  
Vol 03 (16) ◽  
pp. 1213-1220 ◽  
Author(s):  
E. CELEGHINI ◽  
M. RASETTI ◽  
M. TARLINI ◽  
G. VITIELLO
Keyword(s):  
Quantum Optics ◽  
Coherent States ◽  
Single Mode ◽  
Explicit Construction ◽  
Squeezed States ◽  
Two Photon ◽  
Generalized Coherent States ◽  
Photon Process ◽  
Damped Oscillators ◽  
Damped Oscillator

The conventional squeezed states of quantum optics, which can be thought of as generalized coherent states for the algebra SU(1,1), are dynamically generated by single-mode hamiltonians characterized by two-photon process interactions. By the explicit construction of a (highly non-linear) faithful realization of the group [Formula: see text] of automorphisms of SU(1,1), such hamiltonians are shown to be equivalent — up just to elements of [Formula: see text] — to that describing quantum mechanically a damped oscillator.

New formalism for two-photon quantum optics. I. Quadrature phases and squeezed states

1985 ◽  
Vol 31 (5) ◽  
pp. 3068-3092 ◽  
Author(s):  
Carlton M. Caves ◽  
Bonny L. Schumaker
Keyword(s):  
Quantum Optics ◽  
Squeezed States ◽  
New Formalism ◽  
Two Photon

scholarly journals Effect of Nonlinear Level Crossing on the Output of a Gas Laser

1975 ◽  
Vol 28 (6) ◽  
pp. 665
Author(s):  
BK Mohanty ◽  
N Nayak
Keyword(s):  
Single Mode ◽  
Level Crossing ◽  
Third Order ◽  
Intensity Parameter ◽  
Gas Laser ◽  
Two Photon ◽  
The Third ◽  
Photon Process ◽  
Limit Approximation ◽  
Lorentzian Shape

A generalized expression for electromagnetic polarization under level crossing in a single-mode gas laser is derived up to the third order in the field strength. This is made possible by the use of the probability integral of complex arguments to avoid the Doppler limit approximation. The level crossing effect is seen to appear in the third order, and its linewidth is shown to be asymmetric. It is also broader than the Lorentzian shape usually obtained under the Doppler limit. The dimensionless intensity parameter of the laser field is seen to lose its symmetry about the resonance value in the presence of level crossing. This is attributed to incoherence among different transitions. Further, the other terms like those describing the two-photon process in the third-order value are briefly discussed.

Generation of even and odd coherent states in a competitive two-photon process

1993 ◽  
Vol 174 (3) ◽  
pp. 185-189 ◽  
Author(s):  
Christopher C Gerry ◽  
Edwin E Hach
Keyword(s):  
Coherent States ◽  
Two Photon ◽  
Photon Process

Single-mode and two-mode squeezing in the three-level atom

1992 ◽  
Vol 70 (5) ◽  
pp. 379-382
Author(s):  
A. M. Abdel-Hafez
Keyword(s):  
Coherent States ◽  
Single Mode ◽  
Photon Interaction ◽  
Two Photon ◽  
Level Atom ◽  
The One ◽  
Photon Interactions

We investigate the phenomena of single-mode and two-mode squeezing for a three-level atom and two modes. The field modes are initially taken in coherent states. The effects of detuning on these phenomena are studied for one-photon and two-photon interactions. The relation between the collapse and revival phenomena and single-mode and two-mode squeezing is shown. It is found that the two-mode squeezing is much more effective than the single-mode squeezing for the one-photon interaction. While for the two-photon interaction the reverse is true.

Coherent States and Classical Limit of Quantum Electrodynamics

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
Electromagnetic Field ◽  
Quantum Optics ◽  
Coherent State ◽  
Quantum Electrodynamics ◽  
Classical Limit ◽  
Coherent States ◽  
Quantum Fluctuations ◽  
Squeezed States ◽  
Quantum Theories

The coherent state formalism is used in order to study the classical limit of quantum theories and, in particular, quantum electrodynamics. It is shown that we can construct states for which the quantum fluctuations are negligible. Interesting cases include the electromagnetic field in a cavity, or ‘squeezed’ states used in quantum optics.

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