18,232 research outputs found
Super Landau Models on Odd Cosets
We construct d=1 sigma models of the Wess-Zumino type on the SU(n|1)/U(n)
fermionic cosets. Such models can be regarded as a particular supersymmetric
extension (with a target space supersymmetry) of the classical Landau model,
when a charged particle possesses only fermionic coordinates. We consider both
classical and quantum models, and prove the unitarity of the quantum model by
introducing the metric operator on the Hilbert space of the quantum states,
such that all their norms become positive-definite. It is remarkable that the
quantum n=2 model exhibits hidden SU(2|2) symmetry. We also discuss the planar
limit of these models. The Hilbert space in the planar n=2 case is shown to
carry SU(2|2) symmetry which is different from that of the SU(2|1)/U(1) model.Comment: 1 + 33 pages, some typos correcte
Diamond chains with multiple-spin exchange interactions
We study the phase diagram of a symmetric spin-1/2 Heisenberg diamond chain
with additional cyclic four-spin exchange interactions. The presented analysis
supplemented by numerical exact-diagonalization results for finite periodic
clusters implies a rich phase diagram containing, apart from standard magnetic
and spin-liquid phases, two different tetramer-dimer phases as well as an
exotic four-fold degenerate dimerized phase. The characteristics of the
established spin phases as well as the nature of quantum phase transitions are
discussed, as well.Comment: 6 PRB pages, Added reference
Scalable quantum search using trapped ions
We propose a scalable implementation of Grover's quantum search algorithm in
a trapped-ion quantum information processor. The system is initialized in an
entangled Dicke state by using simple adiabatic techniques. The
inversion-about-average and the oracle operators take the form of single
off-resonant laser pulses, addressing, respectively, all and half of the ions
in the trap. This is made possible by utilizing the physical symmetrie of the
trapped-ion linear crystal. The physical realization of the algorithm
represents a dramatic simplification: each logical iteration (oracle and
inversion about average) requires only two physical interaction steps, in
contrast to the large number of concatenated gates required by previous
approaches. This does not only facilitate the implementation, but also
increases the overall fidelity of the algorithm.Comment: 6 pages, 2 figure
Solution of the Riemann problem for polarization waves in a two-component Bose-Einstein condensate
We provide a classification of the possible flow of two-component
Bose-Einstein condensates evolving from initially discontinuous profiles. We
consider the situation where the dynamics can be reduced to the consideration
of a single polarization mode (also denoted as "magnetic excitation") obeying a
system of equations equivalent to the Landau-Lifshitz equation for an
easy-plane ferro-magnet. We present the full set of one-phase periodic
solutions. The corresponding Whitham modulation equations are obtained together
with formulas connecting their solutions with the Riemann invariants of the
modulation equations. The problem is not genuinely nonlinear, and this results
in a non-single-valued mapping of the solutions of the Whitham equations with
physical wave patterns as well as to the appearance of new elements --- contact
dispersive shock waves --- that are absent in more standard, genuinely
nonlinear situations. Our analytic results are confirmed by numerical
simulations
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