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We study ground state properties of spinless, quasi one-dimensional bosons which are confined in a harmonic trap and interact via repulsive delta-potentials. We use the exact diagonalization method to analyze the pair correlation function, as well as the density, the momentum distribution,...
Although good progress has been made in the calculation of correlation energies from total energy expressions which are implicit functionals of the one-particle reduced density matrix, and explicit functionals of the natural orbitals (NOs) and their occupation numbers, a formulation of the...
Three distinct types of behavior have recently been identified in the two-dimensional trapped bosonic gas, namely, a phase-coherent Bose-Einstein condensate (BEC), a Berezinskii-Kosterlitz-Thouless-type (BKT) superfluid, and normal gas phases in order of increasing temperature. In the BKT phase...
A quantum string seal encodes the value of a (bit) string as a quantum state in such a way that everyone can extract a non-negligible amount of available information on the string by a suitable measurement. Moreover, such measurement must disturb the quantum state and is likely to be detected by...
While exact cloning of an unknown quantum state is prohibited by the linearity of quantum mechanics, approximate cloning is possible and has been used, e.g., to derive limits on the security of quantum communication protocols. In the case of asymmetric cloning, the information from the input...
An inhomogeneous electric field is used to study the deflection of a supersonic beam of water molecules. The deflection profiles show strong broadening accompanied by a small net displacement towards higher electric fields. The profiles are in excellent agreement with a calculation of rotational...
We present a largely analytical theory for two-photon correlations G ( 2 ) between Stokes ( s ) and anti-Stokes ( a ) photon pairs from an extended medium (amplifier) composed of double- Λ atoms in counterpropagating geometry. We generalize the parametric coupled equations with quantum Langevin...
We measured the double-to-single ionization ratios R of helium bombarded by C q + ions ( q = 1 – 3 ) . The velocity of the projectile varies from v Bohr to 4 v Bohr , the energy varies from 25 keV ∕ amu to 500 keV ∕ amu . Meanwhile, a simple model is presented to estimate the value R...
We provide a class of inequalities for detecting entanglements in multimode systems. Necessary conditions for fully separable, biseparable, and sufficient conditions for fully entangled states are explicitly presented.
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