71,662 research outputs found
-Covariant Multimode Oscillators and q-Symmetric States
In this paper the coherent states and q-symmetric states for
-covariant multimode oscillator system are investigated.Comment: LaTeX v1.2, 10 pages with no figur
Dynamical properties of a nonequilibrium quantum dot close to localized-delocalized quantum phase transitions
We calculate the dynamical decoherence rate and susceptibility of a
nonequilibrium quantum dot close to the delocalized-to-localized quantum phase
transitions. The setup concerns a resonance-level coupled to two spinless
fermionic baths with a finite bias voltage and an Ohmic bosonic bath
representing the dissipative environment. The system is equivalent to an
anisotropic Kondo model.
As the dissipation strength increases, the system at zero temperature and
zero bias show quantum phase transition between a conducting delocalized phase
to an insulating localized phase. Within the nonequilibrium functional
Renormalization Group (FRG) approach, we address the finite bias crossover in
dynamical decoherence rate and charge susceptibility close to the phase
transition. We find the dynamical decoherence rate increases with increasing
frequency. In the delocalized phase, it shows a singularity at frequencies
equal to positive or negative bias voltage. As the system crossovers to the
localized phase, the decoherence rate at low frequencies get progressively
smaller and this sharp feature is gradually smeared out, leading to a single
linear frequency dependence. The dynamical charge susceptibility shows a
dip-to-peak crossover across the delocalized-to-localized transition. Relevance
of our results to the experiments is discussed.Comment: 7 pages, 7 figure
Coherent States of -covariant Oscillators
In this paper two types of coherent states of -covariant oscillators
are investigated.Comment: LaTeX v1.2, 10 pages with no figur
-covariant Oscillators and q-Deformed Quantum Mechanics in n Dimensions
In this paper the coherent state for -covariant oscillators is
constructed and is shown to satisfy the completeness relation. And the
q-analogue of quantum mechanics in n dimensions is obtained by using
oscillators.Comment: LaTeX v1.2, 10 pages with no figur
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