The substrate is composed of a 100nm thick low-stress SiN layer on top of a Si wafer.The Cooper-Pair Box (CPB) is patterned using electron-beam lithography and double-angle evaporation of aluminum. 31 The thickness of the island and the ground leads are ~ 60 nm and ~ 20 nm respectively. The island is coupled to the ground leads via two small (~ 100 x 100 nm 2 ) Al/AlO x /Al Josephson tunnel junctions, and is arranged in a DC-SQUID configuration.The aluminum layer used to define the nanoresonator, and which ultimately serves as the electrode on top of the nanoresonator, is patterned in the same step as the CPB. This layer acts as an etch mask for undercutting the nanoresonator. To protect the CPB during etching, a layer of PMMA is spun on the sample, and a small window defining the nanoresonator is opened using a second e-beam lithography step. The nanoresonator is then undercut in an ECR etcher with Ar/NF3 plasma: The first step is an anisotropic SiN etch that defines the resonator beam; and the second is an isotropic etch of the underlying Si to undercut the beam.
We demonstrate a method for fabricating arrays of plasmonic nanoparticles with separations on the order of 1 nm using an angle evaporation technique. Samples fabricated on thin SiN membranes are imaged with high-resolution transmission electron microscopy (HRTEM) to resolve the small separations achieved between nanoparticles. When irradiated with laser light, these nearly touching metal nanoparticles produce extremely high electric field intensities, which result in surface-enhanced Raman spectroscopy (SERS) signals. We quantify these enhancements by depositing a p-aminothiophenol dye molecule on the nanoparticle arrays and spatially mapping their Raman intensities using confocal micro-Raman spectroscopy. Our results show significant enhancement when the incident laser is polarized parallel to the axis of the nanoparticle pairs, whereas no enhancement is observed for the perpendicular polarization. These results demonstrate proof-of-principle of this fabrication technique. Finite difference time domain simulations based on HRTEM images predict an electric field intensity enhancement of 82400 at the center of the nanoparticle pair and an electromagnetic SERS enhancement factor of 10(9)-10(10).
We directly observe low-temperature non-equilibrium quasiparticle tunneling in a pair of charge qubits based on the single Cooper-pair box. We measure even-and oddstate dwell time distributions as a function of temperature, and interpret these results using a kinetic theory. While the even-state lifetime is exponentially distributed, the oddstate distribution is more heavily weighted to short times, implying that odd-to-even tunnel events are not described by a homogenous Poisson process. The mean odd-state dwell time increases sharply at low temperature, which is consistent with quasiparticles tunneling out of the island before reaching thermal equilibrium.
We demonstrate the parametric amplification and noise squeezing of nanomechanical motion utilizing dispersive coupling to a Cooper-pair box qubit. By modulating the qubit bias and resulting mechanical resonance shift, we achieve gain of 30 dB and noise squeezing of 4 dB. This qubit-mediated effect is 3000 times more effective than that resulting from the weak nonlinearity of capacitance to a nearby electrode. This technique may be used to prepare nanomechanical squeezed states.
We have measured the magnetoresistance of narrow (600 -1000 A) and thin (150 -200 A) gold films, one dimensional with respect to weak localization and electron-electron interaction eAects. It is shown that electron-electron collisions with small energy transfer (Nyquist phase-breaking mechanism) govern the phase relaxation in such films over a wide temperature range. The Nyquist time~& was estimated from the magnetoresistance data on the basis of the theoretical dependence AR&"(H)that is applicable to the case when Nyquist phase relaxation dominates other phase-breaking proceses. The temperature dependence~&(T) cc T ' obtained in this way is in good agreement with the theoretical prediction for one-dimensional conductors.
We have observed a few distinct anomalous avoided level crossings and voltage
dependent transitions in the excited state spectrum of an Al/AlOx/Al
Cooper-pair box (CPB). The device was measured at 40 mK in the 15 - 50 GHz
frequency range. We find that a given level crosses the CPB spectrum at two
different gate voltages; the frequency and splitting size of the two crossings
differ and the splitting size depends on the Josephson energy of the CPB. We
show that this behavior is not only consistent with the CPB being coupled to
discrete charged "two-level" quantum systems which move atomic distances in the
CPB junctions but that the spectra provide new information about the
fluctuators, which is not available from phase qubit spectra of anomalous
avoided levels. In particular by fitting a model Hamiltonian to our data, we
extract microscopic parameters for each fluctuator, including well asymmetry,
tunneling amplitude, and the minimum hopping distance for each fluctuator. The
tunneling rates range from less than 3.5 to 13 GHz, which represent values
between 5% and 150% of the well asymmetry, and the dipole moments give a
minimum hopping distance of 0.3 to 0.8 Anstrom. We have also found that these
discrete two-level systems have a pronounced effect on the relaxation time (T1)
of the quantum states of the CPB and hence can be a source of dissipation for
superconducting quantum bits
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