1,315 research outputs found
Classical-quantum correspondence in bosonic two-mode conversion systems: polynomial algebras and Kummer shapes
Bosonic quantum conversion systems can be modeled by many-particle
single-mode Hamiltonians describing a conversion of molecules of type A
into molecules of type B and vice versa. These Hamiltonians are analyzed in
terms of generators of a polynomially deformed algebra. In the
mean-field limit of large particle numbers, these systems become classical and
their Hamiltonian dynamics can again be described by polynomial deformations of
a Lie algebra, where quantum commutators are replaced by Poisson brackets. The
Casimir operator restricts the motion to Kummer shapes, deformed Bloch spheres
with cusp singularities depending on and . It is demonstrated that the
many-particle eigenvalues can be recovered from the mean-field dynamics using a
WKB type quantization condition. The many-particle state densities can be
semiclassically approximated by the time-periods of periodic orbits, which show
characteristic steps and singularities related to the fixed points, whose
bifurcation properties are analyzed.Comment: 13 pages, 13 figure
Quasiclassical analysis of Bloch oscillations in non-Hermitian tight-binding lattices
Many features of Bloch oscillations in one-dimensional quantum lattices with
a static force can be described by quasiclassical considerations for example by
means of the acceleration theorem, at least for Hermitian systems. Here the
quasiclassical approach is extended to non-Hermitian lattices, which are of
increasing interest. The analysis is based on a generalised non-Hermitian phase
space dynamics developed recently. Applications to a single-band tight-binding
system demonstrate that many features of the quantum dynamics can be understood
from this classical description qualitatively and even quantitatively. Two
non-Hermitian and -symmetric examples are studied, a Hatano-Nelson lattice
with real coupling constants and a system with purely imaginary couplings, both
for initially localised states in space or in momentum. It is shown that the
time-evolution of the norm of the wave packet and the expectation values of
position and momentum can be described in a classical picture.Comment: 20 pages, 8 figures, typos corrected, slightly extended, accepted for
publication in New Journal of Physics in Focus Issue on Parity-Time Symmetry
in Optics and Photonic
The Conflicting Obligations of Museums Possessing Nazi-Looted Art
During the Nazi regime, much of Europe’s art was pillaged. This Note addresses the conflicts faced by museums when an original owner or heir of artwork brings an ownership claim against a piece in the museum’s collection. Because of their fiduciary duties, museums are encouraged to protect trust assets. Museums can protect their assets from ownership claims with statutes of limitations and laches defenses, which grow stronger with the passage of time. On the other hand, professional codes of conduct encourage museums to work with heirs when there is a claim of ownership to find a mutually agreeable solution. This Note argues that because museum trustees are given discretion, it is reasonable to follow professional ethical guidelines and thus fulfill their duty of care. When the ownership claim is valid, museums should follow the ethical guidelines and work with the heirs to find an amenable solution. When the ownership claim is invalid, however, museums are under no ethical obligation to forego litigation and work with the heirs. If museums decide to pursue litigation when the claim is valid, though, then that behavior is unethical
Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
We investigate an -particle Bose-Hubbard dimer with an additional
effective decay term in one of the sites. A mean-field approximation for this
non-Hermitian many-particle system is derived, based on a coherent state
approximation. The resulting nonlinear, non-Hermitian two-level dynamics, in
particular the fixed point structures showing characteristic modifications of
the self-trapping transition, are analyzed. The mean-field dynamics is found to
be in reasonable agreement with the full many-particle evolution.Comment: 4 pages, 3 figures, published versio
Optical realization of the two-site Bose-Hubbard model in waveguide lattices
A classical realization of the two-site Bose-Hubbard Hamiltonian, based on
light transport in engineered optical waveguide lattices, is theoretically
proposed. The optical lattice enables a direct visualization of the
Bose-Hubbard dynamics in Fock space.Comment: to be published, J Phys. B (Fast Track Communication
Breakdown of adiabatic transfer of light in waveguides in the presence of absorption
In atomic physics, adiabatic evolution is often used to achieve a robust and
efficient population transfer. Many adiabatic schemes have also been
implemented in optical waveguide structures. Recently there has been increasing
interests in the influence of decay and absorption, and their engineering
applications. Here it is shown that even a small decay can significantly
influence the dynamical behaviour of a system, above and beyond a mere change
of the overall norm. In particular, a small decay can lead to a breakdown of
adiabatic transfer schemes, even when both the spectrum and the eigenfunctions
are only sightly modified. This is demonstrated for the generalization of a
STIRAP scheme that has recently been implemented in optical waveguide
structures. Here the question how an additional absorption in either the
initial or the target waveguide influences the transfer property of the scheme
is addressed. It is found that the scheme breaks down for small values of the
absorption at a relatively sharp threshold, which can be estimated by simple
analytical arguments.Comment: 8 pages, 7 figures, revised and extende
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