1,461 research outputs found
Stability of Few-Charge Systems in Quantum Mechanics
We consider non-relativistic systems in quantum mechanics interacting through
the Coulomb potential, and discuss the existence of bound states which are
stable against spontaneous dissociation into smaller atoms or ions. We review
the studies that have been made of specific mass configurations and also the
properties of the domain of stability in the space of masses or inverse masses.
These rigorous results are supplemented by numerical investigations using
accurate variational methods. A section is devoted to systems of three
arbitrary charges and another to molecules in a world with two
space-dimensions.Comment: 101 pages, review articl
Universal quantum fluctuations of a cavity mode driven by a Josephson junction
We analyze the quantum dynamics of a superconducting cavity coupled to a
voltage biased Josephson junction. The cavity is strongly excited at resonances
where the voltage energy lost by a Cooper pair traversing the circuit is a
multiple of the cavity photon energy. We find that the resonances are
accompanied by substantial squeezing of the quantum fluctuations of the cavity
over a broad range of parameters and are able to identify regimes where the
fluctuations in the system take on universal values.Comment: 5 pages, 4 figure
Dynamics of a two-level system strongly coupled to a high-frequency quantum oscillator
Recent experiments on quantum behavior in microfabricated solid-state systems
suggest tantalizing connections to quantum optics. Several of these experiments
address the prototypical problem of cavity quantum electrodynamics: a two-level
system coupled to a quantum harmonic oscillator. Such devices may allow the
exploration of parameter regimes outside the near-resonance and weak-coupling
assumptions of the ubiquitous rotating-wave approximation (RWA), necessitating
other theoretical approaches. One such approach is an adiabatic approximation
in the limit that the oscillator frequency is much larger than the
characteristic frequency of the two-level system. A derivation of the
approximation is presented and the time evolution of the two-level-system
occupation probability is calculated using both thermal- and coherent-state
initial conditions for the oscillator. Closed-form evaluation of the time
evolution in the weak-coupling limit provides insight into the differences
between the thermal- and coherent-state models. Finally, potential experimental
observations in solid-state systems, particularly the Cooper-pair
box--nanomechanical resonator system, are discussed and found to be promising.Comment: 16 pages, 11 figures; revised abstract; some text revisions; added
two figures and combined others; added references. Submitted to Phys. Rev.
Beyond shareholder primacy? Reflections on the trajectory of UK corporate governance.
Core institutions of UK corporate governance, in particular the City Code on Takeovers and Mergers, the Combined Code on Corporate Governance and the law on directors’ duties, are strongly orientated towards the norm of shareholder primacy. Beyond the core, however, stakeholder interests are better represented, in particular at the intersection of insolvency and employment law. This reflects the influence of European Community laws on information and consultation of employees. In addition, there are signs that some institutional shareholders are redirecting their investment strategies, under government encouragement, away from a focus on short-term returns, in such a way as to favour stakeholder-inclusive practices by firms. On this basis we suggest that the UK system is currently in a state of flux and that the debate over shareholder primacy has not been concluded
Effect of positron-atom interactions on the annihilation gamma spectra of molecules
Calculations of gamma spectra for positron annihilation on a selection of
molecules, including methane and its fluoro-substitutes, ethane, propane,
butane and benzene are presented. The annihilation gamma spectra characterise
the momentum distribution of the electron-positron pair at the instant of
annihilation. The contribution to the gamma spectra from individual molecular
orbitals is obtained from electron momentum densities calculated using modern
computational quantum chemistry density functional theory tools. The
calculation, in its simplest form, effectively treats the low-energy
(thermalised, room-temperature) positron as a plane wave and gives annihilation
gamma spectra that are about 40% broader than experiment, although the main
chemical trends are reproduced. We show that this effective "narrowing" of the
experimental spectra is due to the action of the molecular potential on the
positron, chiefly, due to the positron repulsion from the nuclei. It leads to a
suppression of the contribution of small positron-nuclear separations where the
electron momentum is large. To investigate the effect of the nuclear repulsion,
as well as that of short-range electron-positron and positron-molecule
correlations, a linear combination of atomic orbital description of the
molecular orbitals is employed. It facilitates the incorporation of correction
factors which can be calculated from atomic many-body theory and account for
the repulsion and correlations. Their inclusion in the calculation gives gamma
spectrum linewidths that are in much better agreement with experiment.
Furthermore, it is shown that the effective distortion of the electron momentum
density, when it is observed through positron annihilation gamma spectra, can
be approximated by a relatively simple scaling factor.Comment: 26 pages, 12 figure
Measuring mechanical motion with a single spin
We study theoretically the measurement of a mechanical oscillator using a
single two level system as a detector. In a recent experiment, we used a single
electronic spin associated with a nitrogen vacancy center in diamond to probe
the thermal motion of a magnetized cantilever at room temperature {Kolkowitz et
al., Science 335, 1603 (2012)}. Here, we present a detailed analysis of the
sensitivity limits of this technique, as well as the possibility to measure the
zero point motion of the oscillator. Further, we discuss the issue of
measurement backaction in sequential measurements and find that although
backaction heating can occur, it does not prohibit the detection of zero point
motion. Throughout the paper we focus on the experimental implementation of a
nitrogen vacancy center coupled to a magnetic cantilever; however, our results
are applicable to a wide class of spin-oscillator systems. Implications for
preparation of nonclassical states of a mechanical oscillator are also
discussed.Comment: 17 pages, 6 figure
Variational calculations for the hydrogen-antihydrogen system with a mass-scaled Born-Oppenheimer potential
The problem of proton-antiproton motion in the --
system is investigated by means of the variational method. We introduce a
modified nuclear interaction through mass-scaling of the Born-Oppenheimer
potential. This improved treatment of the interaction includes the nondivergent
part of the otherwise divergent adiabatic correction and shows the correct
threshold behavior.
Using this potential we calculate the vibrational energy levels with angular
momentum 0 and 1 and the corresponding nuclear wave functions, as well as the
S-wave scattering length. We obtain a full set of all bound states together
with a large number of discretized continuum states that might be utilized in
variational four-body calculations. The results of our calculations gives an
indication of resonance states in the hydrogen-antihydrogen system
Fermi point in graphene as a monopole in momentum space
We consider the effective field theory of graphene monolayer with the Coulomb
interaction between fermions taken into account. The gauge field in momentum
space is introduced. The position of the Fermi point coincides with the
position of the corresponding monopole. The procedure of extracting such
monopoles during lattice simulations is suggested.Comment: Latex, 12 page
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