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Transferring single cesium atoms between a magneto-optical trap ...
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单原子在磁光阱和远失谐光学偶极阱之间的转移,何军,王婧,Based on our work of trapping single cesium atoms in a large-magnetic-gradient vapour-cell magneto-optical trap (MOT), a remarkable improvement in the signal-to-noise ratio (SNR) h
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http://www.paper.edu.cn
-1-
Transferring single cesium atoms between a magneto-optical
trap and a far-off-resonance optical dipole trap
*
He Jun, Wang Jing, Yang Baodong, Zhao Jiangyan, Zhang Tiancai, Wang Junmin
1**
State Key Laboratory of Quantum Optics and Quantum Optics Devices (Shanxi University),
and Institute of Opto-Electronics, Shanxi University, Taiyuan, Shanxi, China (030006)
Abstract
Based on our work of trapping single cesium atoms in a large-magnetic-gradient vapour-cell
magneto-optical trap (MOT), a remarkable improvement in the signal-to-noise ratio (SNR) has been
made. Also a far-off-resonance optical dipole trap (FORT) formed by a strongly-focused 1064nm single
frequency Nd:YVO
4
laser beam is introduced. One cesium atom is prepared in the MOT, and then the
atom can be transferred successfully between the MOT and the FORT which is overlapped with the
MOT. Utilizing the effective transferring, the lifetime of trapped single atoms in the FORT is measured,
and it is 6.9 s ± 0.3 s. It provides a system allowing us to manipulate the atomic qubit coherently.
Keywords: single atoms, magneto-optical trap, far-off-resonance optical dipole trap, lifetime of
trapped single atoms
PACC: 3280P, 3280, 4250
1. Introduction
The experiment with individual quantum systems made it possible to investigate quantum
effects on the fundamental level. One topic which is receiving more and more attention is
Quantum Information Processing (QIP). The manipulation of only a single or a few atoms is to
provide us machine and tools suitable for quantum qubit, entanglement and generation of single
photons. 2000, Frese et. al.
stored small and deterministic number of neutral atoms in an optical
dipole trap and they had also prepared atoms in a certain hyperfine state and demonstrated the
feasibility of a state-selective detection
[1]
. 2001, Kuhr et. al. loaded one cold cesium atom into a
standing-wave dipole trap from a magneto-optical trap. By controlling the motion of the standing
wave, they adiabatically transported the atom with sub-micrometer precision over macroscopic
distances on the order of a centimeter
[2]
. 2003, Schrader et. al. demonstrated the realization of a
quantum register with a string of single neutral atoms which were trapped in an optical dipole trap
[3]
. 2005, Grangier group, by illuminating an individual rubidium atom stored in a tight optical
tweezer with short resonant light pulses, they created an efficient triggered source of single
photons with high-rate, and measured intensity correlation of the emitted light pulses showing
almost perfect anti-bunching. They also achieved quantum interference between two single
photons emitted by independently trapped atoms in 2006
[4-5]
. The coherent control of a few
trapped atoms is a crucial element for a quantum system. It is thus of fundamental importance for
future applications in quantum communication and information processing
[6-7]
.
Neutral atom MOT is a very efficient tool for cooling and trapping atoms
[8-9]
. Unfortunately,
MOT is dissipative trapping, the interacting of cooling and trapping light with the trapped atoms is
nearly resonant, the spontaneous photons scatter rate is so large that the trapping rapidly destroy
the coherence of atomic state. On the other hand, we also can not tell when and how many atoms
*
This work is partially supported by the National Natural Science Foundation of China (Grant Nos. 60578018,
10434080), by the NSFC Project for excellent research team (Grant No.60821004), by the Program for New
Century Excellent Talents of the Education Ministry of China (Grant No. NCET-07-0524), by the State Key
Research Program of China (Grant No. 2006CB921102), by the Specialized Research Fund for the Doctoral
Program of China (Grant No. 20070108003), by the Natural Science Foundation of Shanxi Province (Grant No.
2007011003), and by the Scientific Research Funds for Returned Scholars Abroad of Shanxi Province.
** Corresponding author, email: wwjjmm@sxu.edu.cn
http://www.paper.edu.cn
-2-
can be trapped from the background because the trapping is a completely random process. All
these further limit the application of the trapped atoms to quantum communication.
The conservative potential of a dipole trap allows trapping with long coherence time
[10-12]
.
FORT can confine atoms in all ground states for a long time as it is created by the interaction of a
far-detuned laser beam with the atomic dipole moment, and the photon scattering rate is quite
small
[1, 13-16]
. In general, there are two kinds schemes to load single atoms from MOT into FORT
mainly, one is loading a single or a few atoms into FORT from a strong magnetic field gradient
MOT, and the other is loading the single atoms in a microscopic FORT from MOT making use of
near-resonant light assisted collisional blockade effect
[17]
.
In this paper, we present a description of our experimental setup, which trap single atoms in
the MOT with a high signal-to-noise ratio. And then load single atom into the FORT from the
MOT, also we measure the atoms lifetime trapped in the FORT, and it is 6.9 s ± 0.3 s. It provides a
system allowing us to manipulate the atomic qubit coherently.
2. Principles
We consider the atom as a simple classical or quantum-mechanical oscillator to derive the
main equations for the optical dipole interaction
[1]
. When an atom interacts with the laser beam,
the electronic field E induces an atomic dipole moment
PE
α
=
, α is polarizability, which
oscillates at the driving frequency ω. The interaction potential of induced dipole moment P in the
driving field E is given by
0
11
Re( )
22
pE
dip
UI
c
α
ε
=− =−⋅
Here I is the laser beam intensity. For the practical case of a detuning much larger than the natural
linewidth (
0
ωω
−Γ ) we can derive expressions for the trap depth and the scattering rate with
the rotating wave approximation:
2
3
00
31
()
2
dip
cI
U
π
ω
ωω
−Γ
=
−
23 2
2
33
000
31
()
2
S
cI
R
πω
ω
ωωω
Γ
=
−h
Quantum-mechanical description can also give the same results. Because of the interaction,
the atomic ground state and excited state are shifted downwards or upwards in the case of negative
detuning ∆<0 (∆ = ω
0
- ω). In other words, the dipole trap potential for atomic level is thus its light
shift (AC Stark shift). Actually, atoms possesses multi-level, we can construct the total
Hamiltonian including all interactions. Usually the two-level approximation is appropriate in our
working condition.
The use of far off detuning dipole traps leads to nearly non-dissipative potentials with very
low spontaneous emission rates, in which pre-cooled atoms can be trapped. We can combine the
convenience of the MOT for trapping and cooling atoms and with the advantages for quantum
manipulation offered by the nearly conservative potential of optical dipole traps.
3. Experiments
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