58,674 research outputs found
Critical behaviours of contact near phase transitions
A central quantity of importance for ultracold atoms is contact, which
measures two-body correlations at short distances in dilute systems. It appears
in universal relations among thermodynamic quantities, such as large momentum
tails, energy, and dynamic structure factors, through the renowned Tan
relations. However, a conceptual question remains open as to whether or not
contact can signify phase transitions that are insensitive to short-range
physics. Here we show that, near a continuous classical or quantum phase
transition, contact exhibits a variety of critical behaviors, including scaling
laws and critical exponents that are uniquely determined by the universality
class of the phase transition and a constant contact per particle. We also use
a prototypical exactly solvable model to demonstrate these critical behaviors
in one-dimensional strongly interacting fermions. Our work establishes an
intrinsic connection between the universality of dilute many-body systems and
universal critical phenomena near a phase transition.Comment: Final version published in Nat. Commun. 5:5140 doi:
10.1038/ncomms6140 (2014
Optimality of feedback control for qubit purification under inefficient measurement
A quantum system may be purified, i.e., projected into a pure state, faster if one applies feedback operations during the measurement process. However, the existing results suggest that such an enhancement is only possible when the measurement efficiency exceeds 0.5, which is difficult to achieve experimentally. We address the task of finding the global optimal feedback control for purifying a single qubit in the presence of measurement inefficiency. We use the Bloch vector length, a more physical and practical quantity than purity, to assess the quality of the state, and employ a backward-iteration algorithm to find the globally optimal strategy. Our results show that a speedup is available for quantum efficiencies well below 0.5, which opens the possibility of experimental implementation in existing systems
First-principles study of phenyl ethylene oligomers as current-switch
We use a self-consistent method to study the distinct current-switch of
-amino-4-ethynylphenyl-4'-ethynylphenyl-5'-nitro-1-benzenethiol, from
the first-principles calculations. The numerical results are in accord with the
early experiment [Reed et al., Sci. Am. \textbf{282}, 86 (2000)]. To further
investigate the transport mechanism, we calculate the switching behavior of
p-terphenyl with the rotations of the middle ring as well. We also study the
effect of hydrogen atom substituting one ending sulfur atom on the transport
and find that the asymmetry of I-V curves appears and the switch effect still
lies in both the positive and negative bias range.Comment: 6 pages, 6 figure
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