2,863 research outputs found
Effects of Zeeman spin splitting on the modular symmetry in the quantum Hall effect
Magnetic-field-induced phase transitions in the integer quantum Hall effect
are studied under the formation of paired Landau bands arising from Zeeman spin
splitting. By investigating features of modular symmetry, we showed that
modifications to the particle-hole transformation should be considered under
the coupling between the paired Landau bands. Our study indicates that such a
transformation should be modified either when the Zeeman gap is much smaller
than the cyclotron gap, or when these two gaps are comparable.Comment: 8 pages, 4 figure
Rearrangement with Nonprehensile Manipulation Using Deep Reinforcement Learning
Rearranging objects on a tabletop surface by means of nonprehensile
manipulation is a task which requires skillful interaction with the physical
world. Usually, this is achieved by precisely modeling physical properties of
the objects, robot, and the environment for explicit planning. In contrast, as
explicitly modeling the physical environment is not always feasible and
involves various uncertainties, we learn a nonprehensile rearrangement strategy
with deep reinforcement learning based on only visual feedback. For this, we
model the task with rewards and train a deep Q-network. Our potential
field-based heuristic exploration strategy reduces the amount of collisions
which lead to suboptimal outcomes and we actively balance the training set to
avoid bias towards poor examples. Our training process leads to quicker
learning and better performance on the task as compared to uniform exploration
and standard experience replay. We demonstrate empirical evidence from
simulation that our method leads to a success rate of 85%, show that our system
can cope with sudden changes of the environment, and compare our performance
with human level performance.Comment: 2018 International Conference on Robotics and Automatio
Wave Excitation in Disks Around Rotating Magnetic Stars
The accretion disk around a rotating magnetic star (neutron star, white dwarf
or T Tauri star) is subjected to periodic vertical magnetic forces from the
star, with the forcing frequency equal to the stellar spin frequency or twice
the spin frequency. This gives rise bending waves in the disk that may
influence the variabilities of the system. We study the excitation, propagation
and dissipation of these waves using a hydrodynamical model coupled with a
generic model description of the magnetic forces. The bending waves are
excited at the Lindblad/vertical resonance, and propagate either to larger
radii or inward toward the corotation resonance where dissipation takes place.
While the resonant torque is negligible compared to the accretion torque, the
wave nevertheless may reach appreciable amplitude and can cause or modulate
flux variabilities from the system. We discuss applications of our result to
the observed quasi-periodic oscillations from various systems, in particular
neutron star low-mass X-ray binaries.Comment: Small changes/clarifications. To be published in ApJ, Aug.20,2008
issu
Electronic and phononic states of the Holstein-Hubbard dimer of variable length
We consider a model Hamiltonian for a dimer including all the electronic one-
and two-body terms consistent with a single orbital per site, a free Einstein
phonon term, and an electron-phonon coupling of the Holstein type. The bare
electronic interaction parameters were evaluated in terms of Wannier functions
built from Gaussian atomic orbitals. An effective polaronic Hamiltonian was
obtained by an unrestricted displaced-oscillator transformation, followed by
evaluation of the phononic terms over a squeezed-phonon variational wave
function. For the cases of quarter-filled and half-filled orbital, and over a
range of dimer length values, the ground state was identified by simultaneously
and independently optimizing the orbital shape, the phonon displacement and the
squeezing effect strength. As the dimer length varies, we generally find
discontinuous changes of both electronic and phononic states, accompanied by an
appreciable renormalization of the effective electronic interactions across the
transitions, due to the equilibrium shape of the wave functions strongly
depending on the phononic regime and on the type of ground state.Comment: 11 pages, RevTeX, 10 PostScript figures; to appear in Phys. Rev.
Experimental Studies of Low-field Landau Quantization in Two-dimensional Electron Systems in GaAs/AlGaAs Heterostructures
By applying a magnetic field perpendicular to GaAs/AlGaAs two-dimensional
electron systems, we study the low-field Landau quantization when the thermal
damping is reduced with decreasing the temperature. Magneto-oscillations
following Shubnikov-de Haas (SdH) formula are observed even when their
amplitudes are so large that the deviation to such a formula is expected. Our
experimental results show the importance of the positive magneto-resistance to
the extension of SdH formula under the damping induced by the disorder.Comment: 9 pages, 3 figure
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