SUPERSYMMETRY, COHERENT STATES, AND SQUEEZED STATES FOR RYDBERG ATOMS

1994 ◽  
Author(s):  
V. Alan Kostelecký
1991 ◽  
Vol 38 (12) ◽  
pp. 2339-2347 ◽  
Author(s):  
J. Oz-Vogt ◽  
A. Mann ◽  
M. Revzen

1989 ◽  
Vol 03 (16) ◽  
pp. 1213-1220 ◽  
Author(s):  
E. CELEGHINI ◽  
M. RASETTI ◽  
M. TARLINI ◽  
G. VITIELLO

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.


1990 ◽  
pp. 383-387 ◽  
Author(s):  
B M Garraway ◽  
R K Bullough ◽  
S S Hassan ◽  
R R Puri

1996 ◽  
Vol 11 (29) ◽  
pp. 2381-2396 ◽  
Author(s):  
P. SHANTA ◽  
S. CHATURVEDI ◽  
V. SRINIVASAN

Eigenstates of the linear combinations a2+βa†2 and ab+βa†b†of two-boson creation and annihilation operators are presented. The algebraic procedure given here is based on the work of Shanta et al. [Phys. Rev. Lett.72, 1447, (1994)] for constructing eigenstates of generalized annihilation operators. Expressions for the overlaps of these states with the number states, the coherent states and the squeezed states are given in a closed form.


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