Nonclassical states and measurement of general motional observables of a trapped ion

被引:75
作者
Gardiner, SA [1 ]
Cirac, JI [1 ]
Zoller, P [1 ]
机构
[1] UNIV CASTILLA LA MANCHA, DEPT FIS, E-13071 CIUDAD REAL, SPAIN
来源
PHYSICAL REVIEW A | 1997年 / 55卷 / 03期
关键词
D O I
10.1103/PhysRevA.55.1683
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We describe a method to perform a single quantum measurement of an arbitrary motional observable of a single ion moving in a harmonic potential. We illustrate the measurement procedure with explicit examples, namely the position and phase observables. A necessary tool for this is the ability to synthesize an arbitrary motional state. In addition, we show how to generalize this to higher dimensions, and show explicit examples of how to engineer states in two spatial dimensions, including a proposed experimental configuration.
引用
收藏
页码:1683 / 1694
页数:12
相关论文
共 25 条
[1]  
[Anonymous], 1980, Gos. Izd-vo Fiz.-Mat. Literatury
[2]   Endoscopy in the Paul trap: Measurement of the vibratory quantum state of a single ion [J].
Bardroff, PJ ;
Leichtle, C ;
Schrade, G ;
Schleich, WP .
PHYSICAL REVIEW LETTERS, 1996, 77 (11) :2198-2201
[3]   CALCULATION OF ATOMIC POSITIONS IN NANOMETER-SCALE DIRECT-WRITE OPTICAL LITHOGRAPHY WITH AN OPTICAL STANDING-WAVE [J].
BERGGREN, KK ;
PRENTISS, M ;
TIMP, GL ;
BEHRINGER, RE .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1994, 11 (07) :1166-1176
[4]   COOLING OF A TRAPPED ION IN THE STRONG-SIDE-BAND REGIME [J].
BLOCKLEY, CA ;
WALLS, DF .
PHYSICAL REVIEW A, 1993, 47 (03) :2115-2127
[5]   QUANTUM COLLAPSES AND REVIVALS IN A QUANTIZED TRAP [J].
BLOCKLEY, CA ;
WALLS, DF ;
RISKEN, H .
EUROPHYSICS LETTERS, 1992, 17 (6BIS) :509-514
[6]  
Cirac JI, 1996, ADV ATOM MOL OPT PHY, V37, P237
[7]   NONCLASSICAL STATES OF MOTION IN A 3-DIMENSIONAL ION-TRAP BY ADIABATIC PASSAGE [J].
CIRAC, JI ;
BLATT, R ;
ZOLLER, P .
PHYSICAL REVIEW A, 1994, 49 (05) :R3174-R3177
[8]   Mesoscopic quantum coherences in cavity QED: Preparation and decoherence monitoring schemes [J].
Davidovich, L ;
Brune, M ;
Raimond, JM ;
Haroche, S .
PHYSICAL REVIEW A, 1996, 53 (03) :1295-1309
[9]  
Galindo A., 1990, Quantum Mechanics, VI
[10]   Dark pair coherent states of the motion of a trapped ion [J].
Gou, SC ;
Steinbach, J ;
Knight, PL .
PHYSICAL REVIEW A, 1996, 54 (02) :R1014-R1017