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KITPC: Condensed Matter Physics of Cold Atoms ---- Optical Lattices II. Single Atoms in Rotating Ring Optical Lattices. Mingsheng ZHAN ( 詹明生 ) State Key Lab of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, CAS

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Single atoms in rotating ring optical lattices

KITPC: Condensed Matter Physics of Cold Atoms ---- Optical Lattices II

Single Atoms in Rotating Ring Optical Lattices

Mingsheng ZHAN (詹明生)

State Key Labof Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, CAS

Center for Cold Atom Physics, CAS

Oct 15, 2009 Beijing


Motivation
Motivation Lattices II

  • quantum simulation

  • quantum computing

  • single photon source

  • single atom physics


Quantum simulation mimic an unknown system using a controllable system
quantum simulation Lattices II mimic an unknown system using a controllable system


Hubbard model
Hubbard model Lattices II

Approximate model that describes electrons in solids

Hamiltonian describes fermions /bosons in a periodic potential

Simple, yet hard to solve analytically, numerically or empirically

X

J

U

i=1

i=2

i=3

i=4

i=5

John C. Hubbard

at 1963

J tunneling U in site interactionexternal potential


Quantum logic gates Lattices II

  • Need of experimental aspects:

  • single atoms

  • cooled to ground state

  • double-well

  • readout

U.Dorner, T.Calarco, P.Zoller, A. Browaeys and P. Grangier,

J. Opt. B: Quantum Semiclass. Opt. 7 (2005) S341–S346


Atom array by dipole trap Lattices II

(bottom-up)

Ultracold atoms in lattices

(top-down)

single atom

dipole trap

array

cooling the array

ultracold gas

optical lattices

addressing individual atoms

The same goal by different routes (殊途同归)

(for quantum simulation)


Optical Dipole Trap for Atoms Lattices II

Atom

Laser

Cylindrically

symmetric

harmonic

oscillator


Superfluidity limit
Superfluidity limit Lattices II

+

+

+

+

Good phasei,

but Poissonic number


Mott insulator state
Mott Insulator State Lattices II

Fockstate

+

+

+

+

good number,

But no phase

M. Greiner, O. Mandel, T. Esslinger, T. Hansch, I. Bloch,

Nature 415 (2002) 39.


P grangier s group io cnrs
P Lattices II.Grangier’s group[IO/CNRS]


Collision blockade
"Collision blockade” Lattices II

RE: Radiative Escape process

FCC: Fine-structure Changing Collision

Phys. Rev. Lett. 89, 023005 (2002)

Nature 411, 1024 (2001).


D meschede s group bonn univ
D.Meschede’s Lattices II group[Bonn Univ.]


The single atom trap @ wipm

The single atom trap @ Lattices IIWIPM


Vacuum Lattices II

system

dichromatic

mirror

830/852nm

Filter

780nmfluor.

MOT laser

Single Atom Trap @ WIPM

experimental setup

87Rb

MOT 780nm

dipole trapping 830/852nm


Fluorescence of a single Rb atom (2009/02/13) Lattices II

1 atom

0 atom

10s

2 atom

1 atom

0 atom


Hanbury Brown and Twiss (HB-T) effect Lattices II

classical field

non-classical

thermal

coherent

single photon

Fluorescence of single atom, antibunching:

http://en.wikipedia.org/wiki/Hanbury-Brown_and_Twiss_effect

M.O.Scully and M.S.Zubairy, Quantum Optics, CUP 1997, P.307


TTL Lattices II

BS

Fiber

SPCM

Discriminator

NIM

SPCM

Trigger

Δt

Discriminator

TTL

NIM

Single Atom HBT Experiment

Coincidence

SPCM: EG&G SPCM-AQRH-14-FC

Discriminator:ORTEC 935(Quad 200-MHz Constant-Fraction Discriminator)

Coincidence: RoentDek TDC8HP


HBT measurement of single atom Lattices II

in dipole trap

[email protected]

[email protected]

[email protected]

AC shift 39MHz

U01.9mK

Rabi Freq 0

26.6MHz(RL)

33.7MHz(CL22)

79 MHz(CL23)

107 total events

103 coincidence

Photon antibunching

(single atom)


lifetime of the single atom trap Lattices II

Time sequence

threshold

Counting

1) once counting > threshold,

freezing the trap;

2) waiting a time Δt, then

check; repeat 100 times;

3) new Δt, then repeat.

Δt

ON

OFF

Cooling and

repump laser

50ms

ON

OFF

MOTmagnetic field

ON

OFF

Counting clock

ON

OFF

Dipole trap laser


Lifetime Lattices II468ms

with MOT on

Lifetime 11s

with MOT off


Ring optical lattices by slm

Ring Optical Lattices Lattices IIby SLM



Ring optical lattice rol
Ring Optical Lattice (ROL) Lattices II

Superposition of the mode


Realizing rol with a spatial light modulator slm
Realizing ROL Lattices IIwith a spatial light modulator (SLM)

SLM


0 Lattices IIth order

1th order

modulated


Trapping atom array with rol
Trapping atom array with ROL Lattices II

Single trap

Double

trap

Spatial filter


Rotating the rol

Rotating the ROL Lattices II


Rotating ROL Lattices II

Scheme 1: max 60Hz

Continuous phase pattern animation on the SLM, max refresh rate 60Hz


Scheme 2: up to MHz Lattices II(EOM driven phase change)

2Hz rotation is shown here


Single atoms in rotating rol
single atoms in rotating ROL Lattices II

Rotating ROL @12Hz

with 1 atom

Rotating ROL @6Hz

with 2 atoms

Xiaodong He, Peng Xu, Jin Wang and Mingsheng Zhan, Opt.Express (accpted, 2009)


Dynamics of single atoms in the traps

Dynamics Lattices IIof single atoms in the traps


Loading two atoms to a trap
Loading two atoms to a trap Lattices II

Ring trap

Gaussian trap


Light assisted nonelastic collisions of two atoms in a trap
Light assisted nonelastic collisions Lattices IIof two atoms in a trap

In a Ring trap

Collisions rare

Difficult to meet

2 atoms remain

In a Gaussian trap

0 atom

Collisions rich

Easier to meet

1 atom

MOT light on


Splitting a trap with an atom to two traps
Splitting a trap (with an atom) to two traps Lattices II

or

Potential or force? (single vs multi: collision)

Particle or wave packet? (single atom interferometer)


Figure 12. Lattices IIAxial insertion. An atom trapped in one of the potential wells of the standing wave of theVDT is inserted into the Gaussian potential well of the HDT by axially moving the VDT along the z-direction.

Figure 13. Radial insertion of an atom. (a) An atom in the VDT after the extraction. The traps are separated by displacing the HDT along the x-direction. (b) The atom in the VDT is transported to the z-position of the HDT. (c) The

traps are merged by moving the HDT along the x-direction towards the VDT. d) Evolution of the radial potentials of the traps along the x-axis for steps (b) and (c).

Y Miroshnychenko et al.,

NewJ.Phys.8(2006)191


Moving trap Lattices II

Static trap

?

dichroic mirror

Static trap

fluorescence

Moving trap

To SPCM

PZT

PZT scan speed: 10um/40ms

160ms

Cooling&Repump

80ms

5V

PZT

-2V

The depth of the moving well affects the rate carrying the atom


Time evolution of the trap intensity profile
Time evolution of Lattices IIthe trap intensity profile

Initial

?

The final position of the atom is determined by force

not the depth of potential.

exposure time 1ms readout time 2.5ms


Atom transfer between traps
Atom transfer between traps Lattices II

Gaussian trap

Merging

Splitting

ring trap


Time sequence: Lattices II

double  Gaussian  double

On

Interaction time: N*1/60 s

N =1,2,3 …variable

Cooling light

repumping light

MOT coil

Off


Time sequence: Lattices II

double  ring  double

On

Interaction time:N*1/60 s

N =1,2,3 …variable

Cooling light

repumping light

MOT coil

+ L (or – L) SLM light

Off


Single atom transport via a gaussian trap

2 Lattices II

1

Single atom transport(via a Gaussian trap)

1/60 s

3/60 s


Single atom transport Lattices II(via a ring trap)

2

1

1/60 s

3/60 s


Next … Lattices II

  • cooling atom to ground state + internal state control

  • making interaction of atoms in/between sites

  • entanglement, quantum simulation / computing ……

  • single atom AI, HBT…


A way to bring the atoms closer optical vector beam ovb

a way to bring the atoms closer Lattices II—— optical vector beam (OVB)


Optical vector beam ovb
Optical vector beam(OVB) Lattices II

  • The focused pattern can be much smaller than the diffraction limit

Tailoring of arbitrary optical vector beams

New Journal of Physics 9 (2007) 78

Phys. Rev. Lett. 91, 233901 (2003)

Phys. Rev. Lett. 100, 123904 (2008)


Experimental Arrangement Lattices II

HW

PW

to trap

PBS

SLM

HW

HW

Dipole trap laser


Primary results with ovb
Primary results with OVB Lattices II

OVB trap

Lifetime longer

Tighter potential

Normal ring trap

Lifetime shorter


Acknowledgments Lattices II

许鹏 何晓东

王谨 刘敏

Ministry of Sci & Tech of China (MOST)

Chinese Academy of Sciences (CAS)

Natural Science Foundation of China (NSFC)

All of you, for your attention!


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