27 research outputs found
Universal quantum computing with correlated spin-charge states
We propose a universal quantum computing scheme in which the orthogonal qubit
states and are identical in their single-particle spin and charge
properties. Each qubit is contained in a single quantum dot and gate operations
are induced all-electrically by changes in the confinement potential. Within
the computational space, these qubits are robust against environmental
influences that couple to the system through single-particle channels. Due to
the identical spin and charge properties of the , states, the
lowest-order relaxation and decoherence rates and , within the
Born-Markov approximation, both vanish for a large class of environmental
couplings. We give explicit pulse sequences for a universal set of gates
(phase, , Hadamard, \textsc{cnot}) and discuss state preparation,
manipulation, and detection.Comment: 6 pages, 3 eps figures, revtex
Nonlinear sigma Model Treatment of Quantum Antiferromagnets in a Magnetic Field
We present a theoretical analysis of the properties of low-dimensional
quantum antiferromagnets in applied magnetic fields. In a nonlinear sigma model
description, we use a spin stiffness analysis, a 1/N expansion, and a
renormalization group approach to describe the broken-symmetry regimes of
finite magnetization, and, in cases of most interest, a low-field regime where
symmetry is restored by quantum fluctuations. We compute the magnetization,
critical fields, spin correlation functions, and decay exponents accessible by
nuclear magnetic resonance experiments. The model is relevant to many systems
exhibiting Haldane physics, and provides good agreement with data for the
two-chain spin ladder compound CuHpCl.Comment: 14 pages, 6 figures, full paper to accompany cond-mat/980415
Coherent rotations of a single spin-based qubit in a single quantum dot at fixed Zeeman energy
Coherent rotations of single spin-based qubits may be accomplished
electrically at fixed Zeeman energy with a qubit defined solely within a single
electrostatically-defined quantum dot; the -factor and the external magnetic
field are kept constant. All that is required to be varied are the voltages on
metallic gates which effectively change the shape of the elliptic quantum dot.
The pseudospin-1/2 qubit is constructed from the two-dimensional ,
subspace of three interacting electrons in a two-dimensional
potential well. Rotations are created by altering the direction of the
pseudomagnetic field through changes in the shape of the confinement potential.
By deriving an exact analytic solution to the long-range Coulomb interaction
matrix elements, we calculate explicitly the range of magnitudes and directions
the pseudomagnetic field can take. Numerical estimates are given for {GaAs}.Comment: Restructured manuscript, more details shown (results unchanged); Six
pages, revtex4; More info at http://soliton.phys.dal.c
Decomposition and Gluing for Adiabatic Quantum Optimization
Farhi and others have introduced the notion of solving NP problems using
adiabatic quantum com- puters. We discuss an application of this idea to the
problem of integer factorization, together with a technique we call gluing
which can be used to build adiabatic models of interesting problems. Although
adiabatic quantum computers already exist, they are likely to be too small to
directly tackle problems of interesting practical sizes for the foreseeable
future. Therefore, we discuss techniques for decomposition of large problems,
which permits us to fully exploit such hardware as may be available. Numerical
re- sults suggest that even simple decomposition techniques may yield
acceptable results with subexponential overhead, independent of the performance
of the underlying device.Comment: 15 pages, many figure
Chiral Spin Textures of Strongly Interacting Particles in Quantum Dots
We probe for statistical and Coulomb induced spin textures among the
low-lying states of repulsively-interacting particles confined to potentials
that are both rotationally and time-reversal invariant. In particular, we focus
on two-dimensional quantum dots and employ configuration-interaction techniques
to directly compute the correlated many-body eigenstates of the system. We
produce spatial maps of the single-particle charge and spin density and verify
the annular structure of the charge density and the rotational invariance of
the spin field. We further compute two-point spin correlations to determine the
correlated structure of a single component of the spin vector field. In
addition, we compute three-point spin correlation functions to uncover chiral
structures. We present evidence for both chiral and quasi-topological spin
textures within energetically degenerate subspaces in the three- and
four-particle system.Comment: 13 pages, 17 figures, 1 tabl
The Collapse of the Spin-Singlet Phase in Quantum Dots
We present experimental and theoretical results on a new regime in quantum
dots in which the filling factor 2 singlet state is replaced by new spin
polarized phases. We make use of spin blockade spectroscopy to identify the
transition to this new regime as a function of the number of electrons. The key
experimental observation is a reversal of the phase in the systematic
oscillation of the amplitude of Coulomb blockade peaks as the number of
electrons is increased above a critical number. It is found theoretically that
correlations are crucial to the existence of the new phases.Comment: REVTeX4, 4 pages, 4 figures, to appear in PR
Persistent Currents and Dissipation in Narrow Bilayer Quantum Hall Bars
Bilayer quantum Hall states support a flow of nearly dissipationless
staggered current which can only decay through collective channels. We study
the dominant finite-temperature dissipation mechanism which in narrow bars is
driven by thermal nucleation of pseudospin solitons. We find the
finite-temperature resistivity, predict the resulting staggered current-voltage
characteristics, and calculate the associated zero-temperature critical
staggered current and gate voltage.Comment: 4 pgs. REVTeX, 3 eps figure
Incommensurate ground state of double-layer quantum Hall systems
Double-layer quantum Hall systems possess interlayer phase coherence at
sufficiently small layer separations, even without interlayer tunneling. When
interlayer tunneling is present, application of a sufficiently strong in-plane
magnetic field drives a commensurate-incommensurate (CI)
transition to an incommensurate soliton-lattice (SL) state. We calculate the
Hartree-Fock ground-state energy of the SL state for all values of
within a gradient approximation, and use it to obtain the
anisotropic SL stiffness, the Kosterlitz-Thouless melting temperature for the
SL, and the SL magnetization. The in-plane differential magnetic susceptibility
diverges as when the CI transition is approached
from the SL state.Comment: 12 pages, 7 figures, to be published in Physical Review