25,988 research outputs found
A General Method for Complete Population Transfer in Degenerate Systems
A simple theoretical solution to the design of a control field that generates
complete population transfer from an initial state, via nondegenerate
intermediate states, to one arbitrary member of () degenerate
states is constructed. The full control field exploits an -node null
adiabatic state, created by designing the relative phases and amplitudes of the
component fields that together make up the full field. The solution found is
universal in the sense that it does not depend on the exact number of the
unwanted degenerate states or their properties. The results obtained suggest
that a class of multi-level quantum systems with degenerate states can be
completely controllable, even under extremely strong constraints, e.g., never
populating a Hilbert subspace that is only a few dimensions smaller than the
whole Hilbert space.Comment: 12 pages, 5 figures, submitted to Phys. Rev.
Field-free molecular orientation by THz laser pulses at high temperature
We investigate to which extend a THz laser pulse can be used to produce
field-free molecular orientation at high temperature. We consider laser pulses
that can be implemented with the state of the art technology and we show that
the efficiency of the control scheme crucially depends on the parameters of the
molecule. We analyze the temperature effects on molecular dynamics and we
demonstrate that, for some molecules, a noticeable orientation can be achieved
at high temperature.Comment: 13 pages, 7 figure
Accurate statistics of a flexible polymer chain in shear flow
We present exact and analytically accurate results for the problem of a
flexible polymer chain in shear flow. Under such a flow the polymer tumbles,
and the probability distribution of the tumbling times of the polymer
decays exponentially as (where is the
longest relaxation time). We show that for a Rouse chain, this nontrivial
constant can be calculated in the limit of large Weissenberg number
(high shear rate) and is in excellent agreement with our simulation result of
. We also derive exactly the distribution functions for
the length and the orientational angles of the end-to-end vector of the
polymer.Comment: 4 pages, 2 figures. Minor changes. Texts differ slightly from the PRL
published versio
Bichromatically driven double well: parametric perspective of the strong-field control landscape reveals the influence of chaotic states
The aim of this work is to understand the influence of chaotic states in
control problems involving strong fields. Towards this end, we numerically
construct and study the strong field control landscape of a bichromatically
driven double well. A novel measure based on correlating the overlap
intensities between Floquet states and an initial phase space coherent state
with the parametric motion of the quasienergies is used to construct and
interpret the landscape features. "Walls" of no control, robust under
variations of the relative phase between the fields, are seen on the control
landscape and associated with multilevel interactions involving chaotic Floquet
states.Comment: 9 pages and 6 figures. Rewritten and expanded version of
arXiv:0707.4547 [nlin.CD]. Accepted for publication in J. Chem. Phys. (2008
Strong Coupling Expansions for Antiferromagnetic Heisenberg S=1/2 Ladders
The properties of antiferromagnetic Heisenberg ladders with
2, 3, and 4 chains are expanded in the ratio of the intra- and interchain
coupling constants. A simple mapping procedure is introduced to relate the 4
and 2-chain ladders which holds down to moderate values of the expansion
parameters. A second order calculation of the spin gap to the lowest triplet
excitation in the 2- and 4-chain ladders is found to be quite accurate even at
the isotropic point where the couplings are equal. Similar expansions and
mapping procedures are presented for the 3-chain ladders which are in the same
universality class as single chains.Comment: 10 physical pages, uuencoded compressed PostScript file including 12
figures, ETH-TH/942
Disproportionation and electronic phase separation in parent manganite LaMnO_3
Nominally pure undoped parent manganite LaMnO_3 exhibits a puzzling behavior
inconsistent with a simple picture of an A-type antiferromagnetic insulator
(A-AFI) with a cooperative Jahn-Teller ordering. We do assign its anomalous
properties to charge transfer instabilities and competition between insulating
A-AFI phase and metallic-like dynamically disproportionated phase formally
separated by a first-order phase transition at T_{disp}=T_{JT}\approx 750 K.
The unconventional high-temperature phase is addressed to be a specific
electron-hole Bose liquid (EHBL) rather than a simple "chemically"
disproportionated R(Mn^{2+}Mn^{4+})O_3 phase. New phase does nucleate as a
result of the charge transfer (CT) instability and evolves from the
self-trapped CT excitons, or specific EH-dimers, which seem to be a precursor
of both insulating and metallic-like ferromagnetic phases observed in
manganites. We arrive at highly frustrated system of triplet (e_g^2)^3A_{2g}
bosons moving in a lattice formed by hole Mn^{4+} centers. Starting with
different experimental data we have reproduced a typical temperature dependence
of the volume fraction of high-temperature mixed-valent EHBL phase. We argue
that a slight nonisovalent substitution, photo-irradiation, external pressure
or magnetic field gives rise to an electronic phase separation with a
nucleation or an overgrowth of EH-droplets. Such a scenario provides a
comprehensive explanation of numerous puzzling properties observed in parent
and nonisovalently doped manganite LaMnO_3 including an intriguing
manifestation of superconducting fluctuations.Comment: 20 pages, 8 figure
Random wave functions and percolation
Recently it was conjectured that nodal domains of random wave functions are
adequately described by critical percolation theory. In this paper we
strengthen this conjecture in two respects. First, we show that, though wave
function correlations decay slowly, a careful use of Harris' criterion confirms
that these correlations are unessential and nodal domains of random wave
functions belong to the same universality class as non critical percolation.
Second, we argue that level domains of random wave functions are described by
the non-critical percolation model.Comment: 13 page
Spin Gaps in Coupled t-J Ladders
Spin gaps in coupled - ladders are investigated by exact
diagonalization of small clusters up to 48 sites. At half-filling, the
numerical results for the triplet excitation spectrum are in very good
agreement with a second order perturbation expansion in term of small
inter-ladder and intra-ladder exchange couplings between rungs
(). The band of local triplet excitations moving
coherently along the ladder (with momenta close to ) is split by the
inter-ladder coupling. For intermediate couplings finite size scaling is used
to estimate the spin gap. In the isotropic infinite 4-chain system (two coupled
ladders) we find a spin gap of , roughly half of the single ladder
spin gap. When the system is hole doped, bonding and anti-bonding bound pairs
of holes can propagate coherently along the chains and the spin gap remains
finite.Comment: 11 pages, 5 figures, uuencoded form of postscript files of figures
and text, LPQTH-94/
Signum Function Method for Generation of Correlated Dichotomic Chains
We analyze the signum-generation method for creating random dichotomic
sequences with prescribed correlation properties. The method is based on a
binary mapping of the convolution of continuous random numbers with some
function originated from the Fourier transform of a binary correlator. The goal
of our study is to reveal conditions under which one can construct binary
sequences with a given pair correlator. Our results can be used in the
construction of superlattices and waveguides with selective transport
properties.Comment: 14 pages, 7 figure
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