1,070 research outputs found
Thermoelectric coefficients and the figure of merit for large open quantum dots
We consider the thermoelectric response of chaotic or disordered quantum dots
in the limit of phase-coherent transport, statistically described by random
matrix theory. We calculate the full distribution of the thermoelectric
coefficients (Seebeck and Peltier ), and the thermoelectric figure of
merit , for large open dots at arbitrary temperature and external magnetic
field, when the number of modes in the left and right leads ( and
) are large. Our results show that the thermoelectric coefficients
and are maximal when the temperature is half the Thouless energy, and the
magnetic field is negligible. They remain small, even at their maximum, but
they exhibit a type of universality at all temperatures, in which they do not
depend on the asymmetry between the left and right leads , even though they depend on .Comment: 25 pages [final version - minor typos fixed
Fluctuation Theorem in a Quantum-Dot Aharonov-Bohm Interferometer
In the present study, we investigate the full counting statistics in a
two-terminal Aharonov-Bohm interferometer embedded with an interacting quantum
dot. We introduce a novel saddle-point solution for a cumulant-generating
function, which satisfies the fluctuation theorem and accounts for the
interaction in the mean-field level approximation. Nonlinear transport
coefficients satisfy universal relations imposed by microscopic reversibility,
though the scattering matrix itself is not reversible. The skewness can be
finite even in equilibrium, owing to the interaction and is proportional to the
asymmetric component of nonlinear conductance.Comment: 5 pages, 2 figure
Thermodynamic Bounds on Efficiency for Systems with Broken Time-reversal Symmetry
We show that for systems with broken time-reversal symmetry the maximum
efficiency and the efficiency at maximum power are both determined by two
parameters: a "figure of merit" and an asymmetry parameter. In contrast to the
time-symmetric case, the figure of merit is bounded from above; nevertheless
the Carnot efficiency can be reached at lower and lower values of the figure of
merit and far from the so-called strong coupling condition as the asymmetry
parameter increases. Moreover, the Curzon-Ahlborn limit for efficiency at
maximum power can be overcome within linear response. Finally, always within
linear response, it is allowed to have simultaneously Carnot efficiency and
non-zero power.Comment: Final version, 4 pages, 3 figure
NMR C-NOT gate through Aharanov-Anandan's phase shift
Recently, it is proposed to do quantum computation through the Berry's
phase(adiabatic cyclic geometric phase) shift with NMR (Jones et al, Nature,
403, 869(2000)). This geometric quantum gate is hopefully to be fault tolerant
to certain types of errors because of the geometric property of the Berry
phase. Here we give a scheme to realize the NMR C-NOT gate through
Aharonov-Anandan's phase(non-adiabatic cyclic phase) shift on the dynamic phase
free evolution loop.
In our scheme, the gate is run non-adiabatically, thus it is less affected by
the decoherence. And, in the scheme we have chosen the the zero dynamic phase
time evolution loop in obtaining the gepmetric phase shift, we need not take
any extra operation to cancel the dynamic phase.Comment: 5 pages, 1 figur
Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field
We study full counting statistics of coherent electron transport through
multi-terminal interacting quantum-dots under a finite magnetic field.
Microscopic reversibility leads to the symmetry of the cumulant generating
function, which generalizes the fluctuation theorem in the context of quantum
transport. Using this symmetry, we derive the Onsager-Casimir relation in the
linear transport regime and universal relations among nonlinear transport
coefficients.Comment: 4.1pages, 1 figur
Coherent destruction of tunneling, dynamic localization and the Landau-Zener formula
We clarify the internal relationship between the coherent destruction of
tunneling (CDT) for a two-state model and the dynamic localization (DL) for a
one-dimensional tight-binding model, under the periodical driving field. The
time-evolution of the tight-binding model is reproduced from that of the
two-state model by a mapping of equation of motion onto a set of
operators. It is shown that DL is effectively an infinitely large dimensional
representation of the CDT in the operators. We also show that
both of the CDT and the DL can be interpreted as a result of destructive
interference in repeated Landau-Zener level-crossings.Comment: 5 pages, no figur
Energy Dissipation and Fluctuation-Response in Driven Quantum Langevin Dynamics
Energy dissipation in a nonequilibrium steady state is studied in driven
quantum Langevin systems. We study energy dissipation flow to thermal
environment, and obtain a general formula for the average rate of energy
dissipation using an autocorrelation function for the system variable. This
leads to a general expression of the equality that connects the violation of
the fluctuation-response relation to the rate of energy dissipation, the
classical version of which was first studied by Harada and Sasa. We also point
out that the expression depends on coupling form between system and reservoir.Comment: 4 pages, 1 figur
Semiclassical Approach to Parametric Spectral Correlation with Spin 1/2
The spectral correlation of a chaotic system with spin 1/2 is universally
described by the GSE (Gaussian Symplectic Ensemble) of random matrices in the
semiclassical limit. In semiclassical theory, the spectral form factor is
expressed in terms of the periodic orbits and the spin state is simulated by
the uniform distribution on a sphere. In this paper, instead of the uniform
distribution, we introduce Brownian motion on a sphere to yield the parametric
motion of the energy levels. As a result, the small time expansion of the form
factor is obtained and found to be in agreement with the prediction of
parametric random matrices in the transition within the GSE universality class.
Moreover, by starting the Brownian motion from a point distribution on the
sphere, we gradually increase the effect of the spin and calculate the form
factor describing the transition from the GOE (Gaussian Orthogonal Ensemble)
class to the GSE class.Comment: 25 pages, 2 figure
Pulse-coupled resonate-and-fire models
We analyze two pulse-coupled resonate-and-fire neurons. Numerical simulation
reveals that an anti-phase state is an attractor of this model. We can
analytically explain the stability of anti-phase states by means of a return
map of firing times, which we propose in this paper. The resultant stability
condition turns out to be quite simple. The phase diagram based on our theory
shows that there are two types of anti-phase states. One of these cannot be
seen in coupled integrate-and-fire models and is peculiar to resonate-and-fire
models. The results of our theory coincide with those of numerical simulations.Comment: 15 pages, 8 figure
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