7,129 research outputs found
Shock waves in a one-dimensional Bose gas: from a Bose-Einstein condensate to a Tonks gas
We derive and analyze shock-wave solutions of hydrodynamic equations
describing repulsively interacting one dimensional Bose gas. We also use the
number-conserving Bogolubov approach to verify accuracy of the Gross-Pitaevskii
equation in shock wave problems. We show that quantum corrections to dynamics
of shocks (dark-shock-originated solitons) in a Bose-Einstein condensate are
negligible (important) for a realistic set of system parameters. We point out
possible signatures of a Bose-Einstein condensate -- Tonks crossover in shock
dynamics. Our findings can be directly verified in different experimental
setups.Comment: 10 pages, small corrections with respect to the last submission,
version accepted in Phys. Rev.
Magnetic fluctuation power near proton temperature anisotropy instability thresholds in the solar wind
The proton temperature anisotropy in the solar wind is known to be
constrained by the theoretical thresholds for pressure anisotropy-driven
instabilities. Here we use approximately 1 million independent measurements of
gyroscale magnetic fluctuations in the solar wind to show for the first time
that these fluctuations are enhanced along the temperature anisotropy
thresholds of the mirror, proton oblique firehose, and ion cyclotron
instabilities. In addition, the measured magnetic compressibility is enhanced
at high plasma beta () along the mirror instability
threshold but small elsewhere, consistent with expectations of the mirror mode.
The power in this frequency (the 'dissipation') range is often considered to be
driven by the solar wind turbulent cascade, an interpretation which should be
qualified in light of the present results. In particular, we show that the
short wavelength magnetic fluctuation power is a strong function of
collisionality, which relaxes the temperature anisotropy away from the
instability conditions and reduces correspondingly the fluctuation power.Comment: 4 pages, 4 figure
On topological phases of spin chains
Symmetry protected topological phases of one-dimensional spin systems have
been classified using group cohomology. In this paper, we revisit this problem
for general spin chains which are invariant under a continuous on-site symmetry
group G. We evaluate the relevant cohomology groups and find that the
topological phases are in one-to-one correspondence with the elements of the
fundamental group of G if G is compact, simple and connected and if no
additional symmetries are imposed. For spin chains with symmetry
PSU(N)=SU(N)/Z_N our analysis implies the existence of N distinct topological
phases. For symmetry groups of orthogonal, symplectic or exceptional type we
find up to four different phases. Our work suggests a natural generalization of
Haldane's conjecture beyond SU(2).Comment: 18 pages, 7 figures, 2 tables. Version v2 corresponds to the
published version. It includes minor revisions, additional references and an
application to cold atom system
- …