February 2009
Identical
photons from a semiconductor diode
Applied Physics Letters 92, 193503 (2008)
A.J. Bennett, R. B. Patel, A.J. Shields, K. Cooper, P. Atkinson, C.A.
Nicoll, and D. A. Ritchie
Real-world applications of optical quantum information processing could become
more practical if small and robust light sources were available that could
generate identical, single photons. An experimental test of whether two photons
are identical can be made by colliding two photons at a 50% reflecting, 50%
transmitting mirror: if they are identical a quantum interference effect occurs
whereby both photons exit along the same direction, as illustrated in Figure 1.
This effect is the cornerstone of many proposed quantum computing schemes which
operate with light.
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| Figure 1: If two photons are incident on the 50% reflecting, 50% transmitting mirror we might expect that there are four possibilities for how those photons can exit, which are shown in (a)-(d). However, quantum mechanics tells if the photons are identical events (a) and (b) cancel out, so we will only observed the photons leaving together, as shown in (e). |
Our goal was to demonstrate that it is possible to observe this effect with a
simple light emitting diode (LED). Most LEDs currently produced emit
uncontrolled numbers of photons at random times and with variable energies. Thus
any given photon is unlikely to be identical to the others. For the last few
years we have been developing a particular type of LED that contains a single
semiconductor quantum dot, which is capable of emitting single photons, one at a
time. Our recent advance is to find ways of reducing the error on the time and
energy of photon emission so each photon can be identical. Shown in Figure 2 is
a measurement where successive photons from one of our LEDs are collided on a
mirror, from opposite directions. The probability of the two photons leaving in
opposite directions falls when the photons arrive at identical times (reference
1). In this experiment the LED was operated in a pulsed mode at a rate of
500MHz. We have recently reported another experiment with the LED run on a DC
current, in which case interference can surprisingly still be observed if fast
enough detectors are used to make the measurements (reference 2).
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| Figure 2: A measurement of the probability of the two photons leaving in opposite directions (y-scale) as the time delay between the photons is changed (x-scale). When the photons arrive at the same time (1.98ns) is it impossible to tell which photon is which, and the interference occurs. |
References
[1] A. J. Bennett, R. B. Patel, A. J. Shields, P.
Atkinson, C. Nicoll, K. Cooper and D. A. Ritchie, Appl. Phys. Lett. 92
(2008) 193503.
[2] R. B. Patel, A. J. Bennett, A. J. Shields, P. Atkinson, C. Nicoll, K. Cooper
and D. A. Ritchie, Phys. Rev. Lett. 100 (2008) 207405.
April 2009
Ultralong spin coherence time in isotopically engineered diamond
Nature Materials 8, 383 - 387 (2009)
G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi1, J. Isoya, J. Achard, J. Beck, J. Tisler, V. Jacques, P. R. Hemmer, F. Jelezko and J. Wrachtrup
Overview
Apart from being valuable gem stones, diamonds possess superior material
properties, which are of immense use in modern technology. Diamond tops in
certain properties like thermal conductivity, hardness, charge carrier mobility,
chemical inertness and optical transparency. In addition to these properties,
doped diamond is gaining importance in the thriving age of spintronics.
Diamond crystals on doping with Nitrogen atoms forms defect centers called
Nitrogen – Vacancy (NV) color centers. The structure of NV center consists of
substitutional nitrogen at the lattice site neighboring a carbon vacancy (Figure
1a). Several unique properties make the NV centers particularly suitable for
applications related to quantum information processing. Firstly the NV center
exhibit strong optical absorption and high fluorescence yield that allows us to
detect and address single defect centers using confocal fluorescence microscopy.
Secondly it is an extraordinarily photostable single photon source. Third being
the paramagnetic ground state of a NV defect can be used as qubit. Finally the
fluorescence intensity of a NV defect is spin dependent, which allow us to
readout the spin state via counting the number of scattered photons.
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Figure 1: (a) Structure of a Nitrogen-Vacancy center in diamond. (b) Energy level scheme of the NV defect center. (c) Ultra long spin coherence time (T2~1.8ms) in isotopically engineered diamond. (d) Nanoscale magnetic field sensing using a single NV center Quantum grade diamond. |
The negative charge state of the defect center is formed by three electrons
associated with dangling bonds of vacancy, and the two electrons of the nitrogen
and additional electron form an external donor. Two out of six electrons are
unpaired forming a triplet spin system. Spin-spin interactions spit the energy
levels with magnetic quantum numbers ms=0 and ms=1 by
about 2.88 GHz. The degeneracy of ms +/- 1 state that arise because
of the C3v symmetry can be lifted further by applying external
magnetic field (Figure 1b). Under optical illumination, spin-selective
relaxations lead to an efficient optical pumping of the system into ms=0
state that allows fast initialization of the spin qubit. The spin state of a NV
defect can be manipulated by applying resonant microwave fields. Hence all the
necessary ingredients to prepare, manipulate and readout single spin qubit are
readily available in diamond. Single defects can be isolated and individually
addressed using confocal microscopy and nonlinear microscopic techniques that
allow far field addressing of defects with a few nanometers spatial resolution.
NV centers in diamonds are robust spin system because of its coherence time is
weakly affected by temperature. The two principal causes of decoherence in NV
center in diamond are due to the magnetic field fluctuations caused by spins of
substitutional nitrogen impurity and the presence of 13C isotope in
the diamond lattice. Advances in synthetic diamond growth has successfully
minimized these two factors, thus promoting diamond based spin systems to have
ultra long coherence times ever achieved for a solid state system at room
temperature. In this paper, the coherence time of about 1.8 ms is achieved for a
NV spin in diamond made up of 99.7% of 12C isotopes and Nitrogen
content less than 1 ppb. (Figure 1c) Such a Quantum grade diamond offers a spin
free lattice and preserves the spin coherence time of the qubit very long,
enabling numerous benchmark experiments in quantum information processing.
Taking into account the time required for single qubit gate of a few nanoseconds
and a MHz speed for two-qubit CNOT, fidelity limit necessary for quantum error
correction come within reach. Furthermore, ultra long coherence times
potentially allow building quantum register based on magnetic dipolar coupling
between isolated NV spins. The strength of dipolar interaction is in the range
of few kHz for qubits spaced few tens of nanometers apart. Hence quantum
register with individual addressable qubits using nonlinear microscopy technique
can potentially be build at room temperature in solid state.
One application that was demonstrated is for sensing very weak magnetic fields.
Using a single NV defect center magnetic fields as small as few nanoTesla was
measured, with a sensitivity of about 4nT/√Hz (Figure 1d). Such sensitivity
would allow probing external spins by measuring the coupling/decoherence.
Nanoscale positioning/scanning offers advantages in developing novel microscope
capable of imaging magnetic fields of nanostructure. Being an atomistic sensor,
scanning them over the samples/molecules of interest would readily give the
image of spin densities and dynamics. The method has far reaching potential in
solving structure of biomolecules under ambient conditions. These NV
magnetometers also find applications in sensing weak magnetic fields associated
with ion currents through membrane channels in living cells.




