65 research outputs found
Double-Pulse Deexcitations in a One-Dimensional Strongly Correlated System
We investigate the ultrafast optical response of the one-dimensional
half-filled extended Hubbard model exposed to two successive laser pulses. By
using the time-dependent Lanczos method, we find that following the first
pulse, the excitation and deexcitation process between the ground state and
excitonic states can be precisely controlled by the relative temporal
displacement of the pulses. The underlying physics can be understood in terms
of a modified Rabi model. Our simulations clearly demonstrate the
controllability of ultrafast transition between excited and deexcited phases in
strongly correlated electron systems.Comment: 5 pages, 4 figures; published versio
Competing states for the fractional quantum Hall effect in the 1/3-filled second Landau level
In this work, we investigate the nature of the fractional quantum Hall state
in the 1/3-filled second Landau level (SLL) at filling factor (and
8/3 in the presence of the particle-hole symmetry) via exact diagonalization in
both torus and spherical geometries. Specifically, we compute the overlap
between the exact 7/3 ground state and various competing states including (i)
the Laughlin state, (ii) the fermionic Haffnian state, (iii) the
antisymmetrized product state of two composite fermion seas at 1/6 filling, and
(iv) the particle-hole (PH) conjugate of the parafermion state. All these
trial states are constructed according to a guiding principle called the
bilayer mapping approach, where a trial state is obtained as the
antisymmetrized projection of a bilayer quantum Hall state with interlayer
distance as a variational parameter. Under the proper understanding of the
ground-state degeneracy in the torus geometry, the parafermion state can
be obtained as the antisymmetrized projection of the Halperin (330) state.
Similarly, it is proved in this work that the fermionic Haffnian state can be
obtained as the antisymmetrized projection of the Halperin (551) state. It is
shown that, while extremely accurate at sufficiently large positive Haldane
pseudopotential variation , the Laughlin state loses its
overlap with the exact 7/3 ground state significantly at . At slightly negative , it is shown that the
PH-conjugated parafermion state has a substantial overlap with the exact
7/3 ground state, which is the highest among the above four trial states.Comment: 22 pages, 5 figure
- …