24 research outputs found
Entropy flow in near-critical quantum circuits
Near-critical quantum circuits are ideal physical systems for asymptotically
large-scale quantum computers, because their low energy collective excitations
evolve reversibly, effectively isolated from the environment. The design of
reversible computers is constrained by the laws governing entropy flow within
the computer. In near-critical quantum circuits, entropy flows as a locally
conserved quantum current, obeying circuit laws analogous to the electric
circuit laws. The quantum entropy current is just the energy current divided by
the temperature. A quantum circuit made from a near-critical system (of
conventional type) is described by a relativistic 1+1 dimensional relativistic
quantum field theory on the circuit. The universal properties of the
energy-momentum tensor constrain the entropy flow characteristics of the
circuit components: the entropic conductivity of the quantum wires and the
entropic admittance of the quantum circuit junctions. For example,
near-critical quantum wires are always resistanceless inductors for entropy. A
universal formula is derived for the entropic conductivity:
\sigma_S(\omega)=iv^{2}S/\omega T, where \omega is the frequency, T the
temperature, S the equilibrium entropy density and v the velocity of `light'.
The thermal conductivity is Real(T\sigma_S(\omega))=\pi v^{2}S\delta(\omega).
The thermal Drude weight is, universally, v^{2}S. This gives a way to measure
the entropy density directly.Comment: 2005 paper published 2017 in Kadanoff memorial issue of J Stat Phys
with revisions for clarity following referee's suggestions, arguments and
results unchanged, cross-posting now to quant-ph, 27 page
Simulation of mixed bond graphs and block diagrams on personal computers using TUTSIM
The TUTSIM simulation program for continuous dynamic systems accepts (nonlinear) block diagrams, bond graphs or a free mix of both. The simulation is “hands on” interactive, providing a direct contact with the model. The implementation of the program on existing personal computers (Apple II, IBM PC) requires small memory size and has a high computational speed, due to its assembler source code. A slower FORTRAN CP/M version is available. It is shown how bond graphs can be used as an input language. An example using bond graphs as a modelling tool is presented
Cavity-QED entangled photon source based on two truncated Rabi oscillations
We discuss a cavity-QED scheme to deterministically generate entangled
photons pairs by using a three-level atom successively coupled to two single
longitudinal mode high-Q cavities presenting polarization degeneracy. The first
cavity is prepared in a well defined Fock state with two photons with opposite
circular polarizations while the second cavity remains in the vacuum state. A
half-of-a-resonant Rabi oscillation in each cavity transfers one photon from
the first to the second cavity, leaving the photons entangled in their
polarization degree of freedom. The feasibility of this implementation and some
practical considerations are discussed for both, microwave and optical regimes.
In particular, Monte Carlo wave function simulations have been performed with
state-of-the-art parameter values to evaluate the success probability of the
cavity-QED source in producing entangled photon pairs as well as its
entanglement capability.Comment: 18 pages, 9 figures; submitted for the "Optical Quantum Information
Science Special Issue" of JOSA
Effective Physical Processes and Active Information in Quantum Computing
The recent debate on hypercomputation has arisen new questions both on the
computational abilities of quantum systems and the Church-Turing Thesis role in
Physics. We propose here the idea of "effective physical process" as the
essentially physical notion of computation. By using the Bohm and Hiley active
information concept we analyze the differences between the standard form
(quantum gates) and the non-standard one (adiabatic and morphogenetic) of
Quantum Computing, and we point out how its Super-Turing potentialities derive
from an incomputable information source in accordance with Bell's constraints.
On condition that we give up the formal concept of "universality", the
possibility to realize quantum oracles is reachable. In this way computation is
led back to the logic of physical world.Comment: 10 pages; Added references for sections 2 and
Infrared properties of boundaries in 1-d quantum systems
We present some partial results on the general infrared behavior of
bulk-critical 1-d quantum systems with boundary. We investigate whether the
boundary entropy, s(T), is always bounded below as the temperature T decreases
towards 0, and whether the boundary always becomes critical in the IR limit. We
show that failure of these properties is equivalent to certain seemingly
pathological behaviors far from the boundary. One of our approaches uses real
time methods, in which locality at the boundary is expressed by analyticity in
the frequency. As a preliminary, we use real time methods to prove again that
the boundary beta-function is the gradient of the boundary entropy, which
implies that s(T) decreases with T. The metric on the space of boundary
couplings is interpreted as the renormalized susceptibility matrix of the
boundary, made finite by a natural subtraction.Comment: 26 pages, Late
Dissipative Transport of a Bose-Einstein Condensate
We investigate the effects of impurities, either correlated disorder or a
single Gaussian defect, on the collective dipole motion of a Bose-Einstein
condensate of Li in an optical trap. We find that this motion is damped at
a rate dependent on the impurity strength, condensate center-of-mass velocity,
and interatomic interactions. Damping in the Thomas-Fermi regime depends
universally on the disordered potential strength scaled to the condensate
chemical potential and the condensate velocity scaled to the peak speed of
sound. The damping rate is comparatively small in the weakly interacting
regime, and the damping in this case is accompanied by strong condensate
fragmentation. \textit{In situ} and time-of-flight images of the atomic cloud
provide evidence that this fragmentation is driven by dark soliton formation.Comment: 14 pages, 20 figure