1,220 research outputs found
Breathers on lattices with long range interaction
We analyze the properties of breathers (time periodic spatially localized
solutions) on chains in the presence of algebraically decaying interactions
. We find that the spatial decay of a breather shows a crossover from
exponential (short distances) to algebraic (large distances) decay. We
calculate the crossover distance as a function of and the energy of the
breather. Next we show that the results on energy thresholds obtained for short
range interactions remain valid for and that for (anomalous
dispersion at the band edge) nonzero thresholds occur for cases where the short
range interaction system would yield zero threshold values.Comment: 4 pages, 2 figures, PRB Rapid Comm. October 199
Resonant ratcheting of a Bose-Einstein condensate
We study the rectification process of interacting quantum particles in a
periodic potential exposed to the action of an external ac driving. The
breaking of spatio-temporal symmetries leads to directed motion already in the
absence of interactions. A hallmark of quantum ratcheting is the appearance of
resonant enhancement of the current (Europhys. Lett. 79 (2007) 10007 and Phys.
Rev. A 75 (2007) 063424). Here we study the fate of these resonances within a
Gross-Pitaevskii equation which describes a mean field interaction between many
particles. We find, that the resonance is i) not destroyed by interactions, ii)
shifting its location with increasing interaction strength. We trace the
Floquet states of the linear equations into the nonlinear domain, and show that
the resonance gives rise to an instability and thus to the appearance of new
nonlinear Floquet states, whose transport properties differ strongly as
compared to the case of noninteracting particles
Acoustic breathers in two-dimensional lattices
The existence of breathers (time-periodic and spatially localized lattice
vibrations) is well established for i) systems without acoustic phonon branches
and ii) systems with acoustic phonons, but also with additional symmetries
preventing the occurence of strains (dc terms) in the breather solution. The
case of coexistence of strains and acoustic phonon branches is solved (for
simple models) only for one-dimensional lattices.
We calculate breather solutions for a two-dimensional lattice with one
acoustic phonon branch. We start from the easy-to-handle case of a system with
homogeneous (anharmonic) interaction potentials. We then easily continue the
zero-strain breather solution into the model sector with additional quadratic
and cubic potential terms with the help of a generalized Newton method. The
lattice size is . The breather continues to exist, but is dressed
with a strain field. In contrast to the ac breather components, which decay
exponentially in space, the strain field (which has dipole symmetry) should
decay like . On our rather small lattice we find an exponent
Slow Relaxation and Phase Space Properties of a Conservative System with Many Degrees of Freedom
We study the one-dimensional discrete model. We compare two
equilibrium properties by use of molecular dynamics simulations: the Lyapunov
spectrum and the time dependence of local correlation functions. Both
properties imply the existence of a dynamical crossover of the system at the
same temperature. This correlation holds for two rather different regimes of
the system - the displacive and intermediate coupling regimes. Our results
imply a deep connection between slowing down of relaxations and phase space
properties of complex systems.Comment: 14 pages, LaTeX, 10 Figures available upon request (SF), Phys. Rev.
E, accepted for publicatio
“America’s Nervous Breakdown”: Mary Hartman, Mary Hartman, Popular Psychology, and the Demise of the Housewife in the 1970s
In 1976, soap opera satire Mary Hartman, Mary Hartman (MH, MH) debuted and reached an estimated 55 million households. Produced by Norman Lear, the central storyline developed during the first season involved the mental breakdown of Mary Hartman (Louise Lasser), a typical consumer housewife who Lear claimed metaphorically represented the United States. Portraying a discontent housewife with mental illness as a proxy for the nation reflects how ubiquitous popular psychology became in explaining American anxieties over the transformations of the family and politics. An analysis of tape-recorded writers meetings reveals that the show’s creators pulled from contemporary books, theories, and discussions about women’s sexuality to interrogate how media, popular psychology, and consumerism contributed to the decade’s malaise. Letters written to the show also indicate that viewers picked up on this intended message after watching MH, MH and began to question their authenticity as individuals. “America’s nervous breakdown,” therefore, stemmed from everyday people realizing the cold war consensus, which connected consumerism with national strength, had been upended. Historians have focused on the political causes of American fears in the 1970s. This article considers how popular culture presented conflicting ideologies concerning women’s roles and also triggered anxieties among ordinary people
Localization by entanglement
We study the localization of bosonic atoms in an optical lattice, which
interact in a spatially confined region. The classical theory predicts that
there is no localization below a threshold value for the strength of
interaction that is inversely proportional to the number of participating
atoms. In a full quantum treatment, however, we find that localized states
exist for arbitrarily weak attractive or repulsive interactions for any number
() of atoms. We further show, using an explicit solution of the
two-particle bound state and an appropriate measure of entanglement, that the
entanglement tends to a finite value in the limit of weak interactions. Coupled
with the non-existence of localization in an optimized quantum product state,
we conclude that the localization exists by virtue of entanglement.Comment: 6 pages, 4 figures; final published version with small changes in
response to reviewer comment
Localized mode interactions in 0-pi Josephson junctions
A long Josephson junction containing regions with a phase shift of pi is
considered. By exploiting the defect modes due to the discontinuities present
in the system, it is shown that Josephson junctions with phase-shift can be an
ideal setting for studying localized mode interactions. A phase-shift
configuration acting as a double-well potential is considered and shown to
admit mode tunnelings between the wells. When the phase-shift configuration is
periodic, it is shown that localized excitations forming bright and dark
solitons can be created. Multi-mode approximations are derived confirming the
numerical results.Comment: 4 pages, to appear in Phys. Rev.
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