103,064 research outputs found
Continuous variable entanglement of phase locked light beams
We explore in detail the possibility of intracavity generation of
continuous-variable (CV) entangled states of light beams under mode
phase-locked conditions. We show that such quantum states can be generated in
self-phase locked nondegenerate optical parametric oscillator (NOPO) based on a
type-II phase-matched down-conversion combined with linear mixer of two
orthogonally polarized modes of the subharmonics in a cavity. A quantum theory
of this device, recently realized in the experiment, is developed for both
sub-threshold and above-threshold operational regimes. We show that the system
providing high level phase coherence between two generated modes, unlike to the
ordinary NOPO, also exhibits different types of quantum correlations between
photon numbers and phases of these modes. We quantify the CV entanglement as
two-mode squeezing and show that the maximal degree of the integral two-mode
squeezing(that is 50% relative to the level of vacuum fluctuations) is achieved
at the pump field intensity close to the generation threshold of self-phase
locked NOPO, provided that the constant of linear coupling between the two
polarizations is much less than the mode detunings. The peculiarities of CV
entanglement for the case of unitary, non-dissipative dynamics of the system
under consideration is also cleared up
Sudden Death of Entanglement of Two Jaynes-Cummings Atoms
We investigate entanglement dynamics of two isolated atoms, each in its own
Jaynes-Cummings cavity. We show analytically that initial entanglement has an
interesting subsequent time evolution, including the so-called sudden death
effect.Comment: 3 pages, 3 figure
The effect of electronic entropy on temperature peculiarities of the frequency characteristics of two interacting anharmonic vibrational modes in Zr
A 2D temperature-dependent effective potential is calculated for the
interacting longitudinal and transverse phonons of zirconium in the
frozen-phonon model. The effective potentials obtained for different
temperatures are used for the numerical solution of a set of stochastic
differential equations with a thermostat of the white-noise type. Analysis of
the spectral density of transverse vibrations allows one to determine the
temperature at which -Zr becomes unstable with respect to the
longitudinal vibrations. The obtained temperature value practically
coincides with the experimental temperature of the
structural transition in zirconium. The role of electronic entropy in the
Zr stability is discussed.Comment: 9 pages, 10 figures (submitted in Phys.Rev.
Spin of the ground state and the flux phase problem on the ring
As a continuation of our previous work, we derive the optimal flux phase
which minimizes the ground state energy in the one-dimensional many particle
systems, when the number of particles is odd in the absence of on-site
interaction and external potential. Moreover, we study the relationship between
the flux on the ring and the spin of the ground state through which we derive
some information on the sum of the lowest eigenvalues of one-particle
Hamiltonians
On the role of vortex stretching in energy optimal growth of three dimensional perturbations on plane parallel shear flows
The three dimensional optimal energy growth mechanism, in plane parallel
shear flows, is reexamined in terms of the role of vortex stretching and the
interplay between the span-wise vorticity and the planar divergent components.
For high Reynolds numbers the structure of the optimal perturbations in
Couette, Poiseuille, and mixing layer shear profiles is robust and resembles
localized plane-waves in regions where the background shear is large. The waves
are tilted with the shear when the span-wise vorticity and the planar
divergence fields are in (out of) phase when the background shear is positive
(negative). A minimal model is derived to explain how this configuration
enables simultaneous growth of the two fields, and how this mutual
amplification reflects on the optimal energy growth. This perspective provides
an understanding of the three dimensional growth solely from the two
dimensional dynamics on the shear plane
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