Download presentation

Presentation is loading. Please wait.

Published byPerry Enfield Modified over 2 years ago

1
Magnetic field sensing beyond the standard quantum limit using 10-spin NOON states Jones etc., arXiv:0811.4350v1 (2008) 22 Feb 2009 강병기

2
Contents Magnetic field sensing Many spin-entangled state: Spin NOON state Trimethylphosphite(TMP) Sensing procedure & result Sensitivity & error Discussion

3
Magnetic field sensing A single spin precess in magnetic field In rotating frame where = H ext phase shift external field Many spins entangled state can acquire phase at greater rate and enhance sensitivity to the applied field

4
Spin-entangled state NOON State N-fold increase in phase: e iN t Spin-flips : MSSM( )state Ex. is one of five possible Lopsidedness l : l=|p-q| for l -fold increase in phase: e il t

5
Trimethylphosphite( (CH 3 O) 3 P ) Star topology distinguishable A, indistinguishable N Bs in NMR 1 central 31 P spin, 9 identical surrounding 1 H spin lopsidedness l for different gyromagnetic ratios for For 1 H nucleus, 9.4-fold phase-enhancement

6
Sensing (N+1) spin-NOON state Fr0m ground state Applying Hadamard gate to A Applying C-NOT gate to B controlled by A : NOON state After some period T wait Applying C-NOT gate again

7
31 P NMR spectrum of TMP red: initial 31 P NMR NOON, MSSM are generated blue: 31 P NMR after evolving for time For 400 s, ~ change for NOON state ~0.107 phase shift ~3.13 T magnetic field detuning For MSSM state MSSM ~ N C M Lopsidedness l =|9.4-2S| red: initial 31 P NMR NOON, MSSM are generated blue: 31 P NMR after evolving for time For 400 s, ~ change for NOON state ~0.107 phase shift ~3.13 T magnetic field detuning For MSSM state MSSM ~ N C M Lopsidedness l =|9.4-2S|

8
31 P NMR spectrum of TMP Fourier transform with respect to T wait Freq., linewidth <1 Accuracy increase with l

9
Sensitivity Comparison with optical NOON state Error: photon loss vs field noise in individual spin N dependent sensitivity limit For Standard Quantum limit: ~N 1/2 For Heisenberg limit: ~N Spin NOON limit: ~N 3/4

10
Improvements by DNP or algorithmic cooling Application for Spin amplification to detect single spin discussion

11
1:1 degassed solution of TMP and aceton-d 6 20 ˚C, /2 pulse length 30 s for 31 P/ 1 H Spin-spin coupling J PH : 10.5Hz 31 P: T1=5.6s, T2=2.2s 1 H: T1=12.5s, T2=2.3s C-NOT gate: 1 H /2 - spin echo length of 1/2J - 1 H /2 condition & gate operation

Similar presentations

OK

NMR Nuclear Magnetic Resonance Spectroscopy. Over the past fifty years nuclear magnetic resonance spectroscopy, commonly referred to as nmr, has become.

NMR Nuclear Magnetic Resonance Spectroscopy. Over the past fifty years nuclear magnetic resonance spectroscopy, commonly referred to as nmr, has become.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google