256 research outputs found
Effect of the measurement on the decay rate of a quantum system
We investigated the electron tunneling out of a quantum dot in the presence
of a continuous monitoring by a detector. It is shown that the Schr\"odinger
equation for the whole system can be reduced to new Bloch-type rate equations
describing the time-development of the detector and the measured system at
once. Using these equations we find that the continuous measurement of the
unstable system does not affect its exponential decay, ,
contrary to expectations based on the Quantum Zeno effect . However, the width
of the energy distribution of the tunneling electron is no more , but
increases due to the decoherence, generated by the detector.Comment: Additional explanations are added. Accepted for publications in Phys.
Rev. Let
Delocalization in the Anderson model due to a local measurement
We study a one-dimensional Anderson model in which one site interacts with a
detector monitoring the occupation of that site. We demonstrate that such an
interaction, no matter how weak, leads to total delocalization of the Anderson
model, and we discuss the experimental consequencesComment: 4 pages, additional explanations added, to appear in Phys. Rev. Let
Resonant scattering on impurities in the Quantum Hall Effect
We develop a new approach to carrier transport between the edge states via
resonant scattering on impurities, which is applicable both for short and long
range impurities. A detailed analysis of resonant scattering on a single
impurity is performed. The results are used for study of the inter-edge
transport by multiple resonant hopping via different impurities' sites. It is
shown that the total conductance can be found from an effective Schroedinger
equation with constant diagonal matrix elements in the Hamiltonian, where the
complex non-diagonal matrix elements are the amplitudes of a carrier hopping
between different impurities. It is explicitly demonstrated how the complex
phase leads to Aharonov-Bohm oscillations in the total conductance. Neglecting
the contribution of self-crossing resonant-percolation trajectories, one finds
that the inter-edge carrier transport is similar to propagation in
one-dimensional system with off-diagonal disorder. We demonstrated that each
Landau band has an extended state , while all other states are
localized. The localization length behaves as .Comment: RevTex 41 pages; 3 Postscript figure on request; Final version
accepted for publication in Phys. Rev. B. A new section added contained a
comparison with other method
Resonant Tunneling through Linear Arrays of Quantum Dots
We theoretically investigate resonant tunneling through a linear array of
quantum dots with subsequent tunnel coupling. We consider two limiting cases:
(i) strong Coulomb blockade, where only one extra electron can be present in
the array (ii) limit of almost non-interacting electrons. We develop a density
matrix description that incorporates the coupling of the dots to reservoirs. We
analyze in detail the dependence of the stationary current on the electron
energies, tunnel matrix elements and rates, and on the number of dots. We
describe interaction and localization effects on the resonant current. We
analyze the applicability of the approximation of independent conduction
channels. We find that this approximation is not valid when at least one of the
tunnel rates to the leads is comparable to the energy splitting of the states
in the array. In this case the interference of conduction processes through
different channels suppresses the current.Comment: 12 pages, 5 figure
Relativistic approaches to structure functions of nuclei
We employ a propagator technique to derive a new relativistic 1/\qq
expansion of the structure function of a nucleus, composed of point-nucleons.
We exploit non-relativistic features of low-momentum nucleons in the target and
only treat relativistically the nucleon after absorption of a high-momentum
virtual photon. The new series permits a 3-dimensional reduction of each term
and a formal summation of all Final State Interaction terms. We then show that
a relativistic structure function can be obtained from its non-relativistic
analog by a mere change of a scaling variable and an addition of an energy
shift. We compare the obtained result with an ad hoc generalized
Gersch-Rodriguez-Smith theory, previously used in computations of nuclear
structure functions.Comment: Comparison with data is included, to be published in PRC, Feb. 200
Influence of measurement on the life-time and the line-width of unstable systems
We investigate the quantum Zeno effect in the case of electron tunneling out
of a quantum dot in the presence of continuous monitoring by a detector. It is
shown that the Schr\"odinger equation for the whole system can be reduced to
Bloch-type rate equations describing the combined time-development of the
detector and the measured system. Using these equations we find that continuous
measurement of the unstable system does not affect its exponential decay to a
reservoir with a constant density of states. The width of the energy
distribution of the tunneling electron, however, is not equal to the inverse
life-time -- it increases due to the decoherence generated by the detector. We
extend the analysis to the case of a reservoir described by an energy dependent
density of states, and we show that continuous measurement of such quantum
systems affects both the exponential decay rate and the energy distribution.
The decay does not always slow down, but might be accelerated. The energy
distribution of the tunneling electron may reveal the lines invisible before
the measurement.Comment: 13 pages, 8 figures, comments and references added; to appear in
Phys. Rev.
Quantum coherence and entanglement induced by the continuum between distant localized states
It is demonstrated that two distant quantum wells separated by a reservoir
with a continuous spectrum can possess bound eigenstates embedded in the
continuum. These represent a linear superposition of quantum states localized
in the wells. We show that such a state can be isolated in the course of free
evolution from any initial state by a null-result measurement in the reservoir.
The latter might not be necessary in the many-body case. The resulting
superposition is regulated by ratio of couplings between the wells and the
reservoir. In particular, one can lock the system in one of the wells by
enhancing this ratio. By tuning parameters of the quantum wells, many-body
entangled states in distant wells can be produced through interactions and
statistics.Comment: small modifications, one reference is added, to appear in Phys. Rev.
Quantum Nondemolition Measurement of a Kicked Qubit
We propose a quantum nondemolition measurement using a kicked two-state
system (qubit). By tuning the waiting time between kicks to be the qubit
oscillation period, the kicking apparatus performs a nondemolition measurement.
While dephasing is unavoidable, the nondemolition measurement can (1) slow
relaxation of diagonal density matrix elements, (2) avoid detector back-action,
and (3) allow for a large signal-to-noise ratio. Deviations from the ideal
behavior are studied by allowing for detuning of the waiting time, as well as
finite-time, noisy pulses. The scheme is illustrated with a double-dot qubit
measured by a gate-pulsed quantum point contact.Comment: 7 pages, 1 figur
The neutron magnetic form factor G_M^n(Q^2) from Quasi-Elastic inclusive scattering data on D and 4He
We analyze cross sections for Quasi-Elastic inclusive scattering of electrons
on nuclei and show that the observed isolated peaks for relatively low
are unique for the lightest targets. Focusing in particular on D and He, we
investigate in two ways to what measure the above peaks can be allocated to
nucleon-elastic processes. We first compute approximate upper limits for the
nucleon-inelastic background in the Quasi-Elastic region due to inclusive
excitation, and find those to be small. Far more precise is a
semi-phenomenological approach, where the dominance of nucleon-elastic
processes is translated into a set of stringent requirements. We show that
those are very well fulfilled for recent D data, and to a somewhat lesser
extent for older D and He data. With knowledge of and
information on , we then extract and find agreement with values
obtained by alternative methods. We discuss the sensitivity of the extraction
method and mention future applications.Comment: 21 pages, 9 figures, revtex4, revised version, Phys. Rev. C, in pres
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