Flower-like squeezing in the motion of a laser-driven trapped ion

We investigate the Nth order amplitude squeezing in the fan-state \xi; 2k, f](F) which is a linear superposition of the 2k-quantum nonlinear coherent states. Unlike in usual states where an ellipse is the symbol of squeezing, a 4k-winged flower results in the fan state. We first derive the analytical expression of squeezing for arbitrary k, N, f and then study in detail the case of a laser-driven trapped ion characterized by a specific form of the nonlinear function f. We show that the lowest order in which squeezing may appear and the number of directions along which the amplitude may be squeezed depend only on k whereas the precise directions of squeezing are determined also by the other physical parameters involved. Finally, we present a scheme to produce such fan-states.

Title: 

	Flower-like squeezing in the motion of a laser-driven trapped ion
Authors:	Nguyen, Ba An Truong, Minh Duc
Keywords:	NONLINEAR COHERENT STATES AMPLITUDE SUM GENERATION EQUAL-TO 1 ATOM FIELD EVEN
Issue Date:	2002
Publisher:	WORLD SCIENTIFIC PUBL CO PTE LTD, JOURNAL DEPT PO BOX 128 FARRER ROAD, SINGAPORE 912805, SINGAPORE
Citation:	ISIKNOWLEDGE
Abstract:	We investigate the Nth order amplitude squeezing in the fan-state \xi; 2k, f](F) which is a linear superposition of the 2k-quantum nonlinear coherent states. Unlike in usual states where an ellipse is the symbol of squeezing, a 4k-winged flower results in the fan state. We first derive the analytical expression of squeezing for arbitrary k, N, f and then study in detail the case of a laser-driven trapped ion characterized by a specific form of the nonlinear function f. We show that the lowest order in which squeezing may appear and the number of directions along which the amplitude may be squeezed depend only on k whereas the precise directions of squeezing are determined also by the other physical parameters involved. Finally, we present a scheme to produce such fan-states.
Description:	INTERNATIONAL JOURNAL OF MODERN PHYSICS B Volume: 16 Issue: 3 Pages: 519-529 ; TNS06607
URI:	http://repository.vnu.edu.vn/handle/VNU_123/31581
ISSN:	0217-9792
Appears in Collections:	Bài báo của ĐHQGHN trong Web of Science