127 research outputs found
Non-Markovian Particle Dynamics in Continuously Controlled Quantum Gases
For a quantum gas, being subject to continuous feedback of a macroscopic
observable, the single-particle dynamics is studied. Albeit feedback-induced
particle correlations, it is shown that analytic solutions are obtained by
formally extending the single-particle Hilbert space by an auxiliary degree of
freedom. The particle's motion is then fed by colored noise, which effectively
maps quantum-statistical correlations onto the single particle. Thus, the
single particle in the continuously controlled gas follows a non-Markovian
trajectory in phase-space.Comment: 5 pages, 2 figures, accepted for publication in Phys. Rev. Let
Comment on "Impossibility of distant indirect measurement of the quantum Zeno effect"
In the paper by M. Hotta and M. Morikawa [Phys. Rev. A 69, 052114 (2004)] the
non-existence of the quantum Zeno effect caused by indirect measurements has
been claimed. It is shown here that the pertinent proof is incorrect, and the
claim unfounded.Comment: 2 pages, to be published in Phys. Rev. A, comment on quant-ph/031009
Ultrahigh reflection from a medium with ultraslow group velocity
We show that an incident wavepacket at the boundary to a medium with
extremely slow group velocity, experiences enhanced reflection and a
substantial spatial and temporal distortion of the transmitted wave packet. In
the limit of vanishing group velocity, light cannot be transferred into the
medium due to its perfect reflectivity.Comment: 3 pages, 3 figure
Quantum mechanical counterpart of nonlinear optics
Raman-type laser excitation of a trapped atom allows one to realize the
quantum mechanical counterpart of phenomena of nonlinear optics, such as
Kerr-type nonlinearities, parametric amplification, and multi-mode mixing.
Additionally, huge nonlinearities emerge from the interference of the atomic
wave function with the laser waves. They lead to a partitioning of the phase
space accompanied by a significantly different action of the time evolution in
neighboring phase-space zones. For example, a nonlinearly modified coherent
"displacement" of the motional quantum state may induce strong amplitude
squeezing and quantum interferences.Comment: 6 pages, 4 figures, to be published in Phys. Rev. A 55 (June
Analytical model of non-Markovian decoherence in donor-based charge quantum bits
We develop an analytical model for describing the dynamics of a donor-based
charge quantum bit (qubit). As a result, the quantum decoherence of the qubit
is analytically obtained and shown to reveal non-Markovian features: The
decoherence rate varies with time and even attains negative values, generating
a non-exponential decay of the electronic coherence and a later recoherence.
The resulting coherence time is inversely proportional to the temperature, thus
leading to low decoherence below a material dependent characteristic
temperature.Comment: 19 pages, 3 figure
Quantum recoil effects in finite-time disentanglement of two distinguishable atoms
Starting from the requirement of distinguishability of two atoms by their
positions, it is shown that photon recoil has a strong influence on finite-time
disentanglement and in some cases prevents its appearance. At near-field inter
atomic distances well localized atoms, with maximally one atom being initially
excited, may suffer disentanglement at a single finite time or even at a series
of equidistant finite times, depending on their mean inter atomic distance and
their initial electronic preparation.Comment: 13 pages, 1 figure, submitted to Physical Review on august 2
Schr\"{o}dinger cat state of trapped ions in harmonic and anharmonic oscillator traps
We examine the time evolution of a two level ion interacting with a light
field in harmonic oscillator trap and in a trap with anharmonicities. The
anharmonicities of the trap are quantified in terms of the deformation
parameter characterizing the q-analog of the harmonic oscillator trap.
Initially the ion is prepared in a Schr\"{o}dinger cat state. The entanglement
of the center of mass motional states and the internal degrees of freedom of
the ion results in characteristic collapse and revival pattern. We calculate
numerically the population inversion I(t), quasi-probabilities and
partial mutual quantum entropy S(P), for the system as a function of time.
Interestingly, small deformations of the trap enhance the contrast between
population inversion collapse and revival peaks as compared to the zero
deformation case. For \beta =3 and determines the average number
of trap quanta linked to center of mass motion) the best collapse and revival
sequence is obtained for \tau =0.0047 and \tau =0.004 respectively. For large
values of \tau decoherence sets in accompanied by loss of amplitude of
population inversion and for \tau \sim 0.1 the collapse and revival phenomenon
disappear. Each collapse or revival of population inversion is characterized by
a peak in S(P) versus t plot. During the transition from collapse to revival
and vice-versa we have minimum mutual entropy value that is S(P)=0. Successive
revival peaks show a lowering of the local maximum point indicating a
dissipative irreversible change in the ionic state. Improved definition of
collapse and revival pattern as the anharminicity of the trapping potential
increases is also reflected in the Quasi- probability versus t plots.Comment: Revised version, 16 pages,6 figures. Revte
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