3,496 research outputs found
Atoms in double-delta-kicked periodic potentials: Chaos with long-range correlations
We report an experimental and theoretical study of the dynamics of cold atoms subjected to pairs of closely spaced pulses in an optical lattice. For all previously studied delta-kicked systems, chaotic classical dynamics shows diffusion with short-time (2- or 3-kick) correlations; here, chaotic diffusion combines with new types of long-ranged global correlations, between all kick pairs, which control transport through trapping regions in phase space. Correlations are studied in the classical regime, but the diffusive behavior observed in experiment depends on the quantum dynamical localization
Some chirality-related properties of the 4-D massive Dirac propagator and determinant in an arbitrary gauge field
For a 4-D massive Dirac field in the background of arbitrary gauge fields, we
show that the Dirac propagator and functional determinant are completely
determined by knowledge of the corresponding quantities for just one of the
chirality sectors of the second-order Dirac operator. This generalizes the
related, previously known, statements in (anti-)self-dual background gauge
fields. The logarithms of the (renormalized) functional determinants from the
two chirality sectors are shown to be different only by a term reflecting the
integrated chiral anomaly.Comment: 17 pages, late
-Kicked Quantum Rotors: Localization and `Critical' Statistics
The quantum dynamics of atoms subjected to pairs of closely-spaced
-kicks from optical potentials are shown to be quite different from the
well-known paradigm of quantum chaos, the singly--kicked system. We
find the unitary matrix has a new oscillating band structure corresponding to a
cellular structure of phase-space and observe a spectral signature of a
localization-delocalization transition from one cell to several. We find that
the eigenstates have localization lengths which scale with a fractional power
and obtain a regime of near-linear spectral variances
which approximate the `critical statistics' relation , where is related to the fractal
classical phase-space structure. The origin of the exponent
is analyzed.Comment: 4 pages, 3 fig
Chaotic quantum ratchets and filters with cold atoms in optical lattices: properties of Floquet states
Recently, cesium atoms in optical lattices subjected to cycles of
unequally-spaced pulses have been found to show interesting behavior: they
represent the first experimental demonstration of a Hamiltonian ratchet
mechanism, and they show strong variability of the Dynamical Localization
lengths as a function of initial momentum. The behavior differs qualitatively
from corresponding atomic systems pulsed with equal periods, which are a
textbook implementation of a well-studied quantum chaos paradigm, the quantum
delta-kicked particle (delta-QKP). We investigate here the properties of the
corresponding eigenstates (Floquet states) in the parameter regime of the new
experiments and compare them with those of the eigenstates of the delta-QKP at
similar kicking strengths. We show that, with the properties of the Floquet
states, we can shed light on the form of the observed ratchet current as well
as variations in the Dynamical Localization length.Comment: 9 pages, 9 figure
Near zero modes in condensate phases of the Dirac theory on the honeycomb lattice
We investigate a number of fermionic condensate phases on the honeycomb
lattice, to determine whether topological defects (vortices and edges) in these
phases can support bound states with zero energy. We argue that topological
zero modes bound to vortices and at edges are not only connected, but should in
fact be \emph{identified}. Recently, it has been shown that the simplest s-wave
superconducting state for the Dirac fermion approximation of the honeycomb
lattice at precisely half filling, supports zero modes inside the cores of
vortices (P. Ghaemi and F. Wilczek, 2007). We find that within the continuum
Dirac theory the zero modes are not unique neither to this phase, nor to half
filling. In addition, we find the \emph{exact} wavefunctions for vortex bound
zero modes, as well as the complete edge state spectrum of the phases we
discuss. The zero modes in all the phases we examine have even-numbered
degeneracy, and as such pairs of any Majorana modes are simply equivalent to
one ordinary fermion. As a result, contrary to bound state zero modes in superconductors, vortices here do \emph{not} exhibit non-Abelian exchange
statistics. The zero modes in the pure Dirac theory are seemingly topologically
protected by the effective low energy symmetry of the theory, yet on the
original honeycomb lattice model these zero modes are split, by explicit
breaking of the effective low energy symmetry.Comment: Final version including numerics, accepted for publication in PR
A Supersymmetric U(1)' Model with Multiple Dark Matters
We consider a scenario where a supersymmetric model has multiple dark matter
particles. Adding a U(1)' gauge symmetry is a well-motivated extension of the
Minimal Supersymmetric Standard Model (MSSM). It can cure the problems of the
MSSM such as the mu-problem or the proton decay problem with high-dimensional
lepton number and baryon number violating operators which R-parity allows. An
extra parity (U-parity) may arise as a residual discrete symmetry after U(1)'
gauge symmetry is spontaneously broken. The Lightest U-parity Particle (LUP) is
stable under the new parity becoming a new dark matter candidate. Up to three
massive particles can be stable in the presence of the R-parity and the
U-parity. We numerically illustrate that multiple stable particles in our model
can satisfy both constraints from the relic density and the direct detection,
thus providing a specific scenario where a supersymmetric model has
well-motivated multiple dark matters consistent with experimental constraints.
The scenario provides new possibilities in the present and upcoming dark matter
searches in the direct detection and collider experiments.Comment: 25 pages, 5 figure
Smearing of charge fluctuations in a grain by spin-flip assisted tunneling
We investigate the charge fluctuations of a grain (large dot) coupled to a
lead via a small quantum dot in the Kondo regime. We show that the strong
entanglement of charge and spin flips in this setup can result in a stable
SU(4) Kondo fixed point, which considerably smears out the Coulomb staircase
behavior already in the weak tunneling limit. This behavior is robust enough to
be experimentally observable.Comment: 4 pages, 1 figure, final version for PRB Rapid Com
Plasma density measurements using chirped pulse broad-band Raman amplification
Stimulated Raman backscattering is used as a non-destructive method to determine the density of plasma media at localized positions in space and time. By colliding two counter-propagating, ultra-short laser pulses with a spectral bandwidth larger than twice the plasma frequency, amplification occurs at the Stokes wavelengths, which results in regions of gain and loss separated by twice the plasma frequency, from which the plasma density can be deduced. By varying the relative delay between the laser pulses, and therefore the position and timing of the interaction, the spatio-temporal distribution of the plasma density can be mapped out
Facing the Sublime: Physiological Correlates of the Relationship Between Fear and the Sublime
The sublime is an enduring concept in Western aesthetic discourse and is often portrayed such as in Edmund Burke’s A Philosophical Enquiry into the Origin of Our Ideas of the Sublime and Beautiful of 1759 as a delightful horror, a kind of enjoyment based on negative emotions. In the current article, the relationship between sublimity and fear was explored using behavioral and physiological measures. In 2 studies (total N ≈ 120), photographs of nature were selected (Study 1: 192 photographs and Study 2: 72 photographs), rated on sublimity, beauty, fear, happiness, and arousal, before being assessed against facial muscle movement (fEMG) and skin conductance (SCR). In line with philosophical theories, ratings of sublimity showed positive associations with subjective fear ratings in both studies. Looking at fEMG data (Study 2), sublimity was in fact associated with a decrease of corrugator supercilli (frowning) reactions, indicating reduced emotional negativity. Furthermore, sublimity did not change activation levels of the zygomaticus major (smiling/positive emotional valence), nor did it influence movements of the medial frontalis (inner brow raise/fear). Increased ratings of fear increased corrugator supercilii and medial frontalis activations, and decreased zygomaticus major activation, replicating past findings. SCR activation was not predicted by any variable. The discrepancy between behavioral and physiological results likely results from a combination of false appraisal and distancing mechanisms, and thus encourages the reconsideration of generalizations made over the sublime in its relation to fear
Majorana Spin Liquids, Topology and Superconductivity in Ladders
We theoretically address spin chain analogs of the Kitaev quantum spin model
on the honeycomb lattice. The emergent quantum spin liquid phases or Anderson
resonating valence bond (RVB) states can be understood, as an effective model,
in terms of p-wave superconductivity and Majorana fermions. We derive a
generalized phase diagram for the two-leg ladder system with tunable
interaction strengths between chains allowing us to vary the shape of the
lattice (from square to honeycomb ribbon or brickwall ladder). We evaluate the
winding number associated with possible emergent (topological) gapless modes at
the edges. In the Az phase, as a result of the emergent Z2 gauge fields and
pi-flux ground state, one may build spin-1/2 (loop) qubit operators by analogy
to the toric code. In addition, we show how the intermediate gapless B phase
evolves in the generalized ladder model. For the brickwall ladder, the
phase is reduced to one line, which is analyzed through perturbation theory in
a rung tensor product states representation and bosonization. Finally, we show
that doping with a few holes can result in the formation of hole pairs and
leads to a mapping with the Su-Schrieffer-Heeger model in polyacetylene; a
superconducting-insulating quantum phase transition for these hole pairs is
accessible, as well as related topological properties.Comment: 25 pages, 10 figures, final version - to be published in PR
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