882 research outputs found
Tagged particle process in continuum with singular interactions
By using Dirichlet form techniques we construct the dynamics of a tagged
particle in an infinite particle environment of interacting particles for a
large class of interaction potentials. In particular, we can treat interaction
potentials having a singularity at the origin, non-trivial negative part and
infinite range, as e.g., the Lennard-Jones potential.Comment: 27 pages, proof for conservativity added, tightened presentatio
Increasing Spectrum for Broadband: What Are The Options?
The growth of wireless broadband is a bright spot in the U.S. economy, but a shortage of flexibly licensed spectrum rights could put a crimp on this expansion. Freeing up spectrum from other uses would allow greater expansion of wireless broadband and would bring substantial gains—likely in the hundreds of billions of dollars—for U.S. consumers, businesses, and the federal treasury. ... U.S. experience suggests that it takes at least six years, and possibly over a decade, to complete any large-scale reallocation of spectrum. Thus, for policymakers, the ?projected? need is actually here today. This paper makes three proposals to increase spectrum available for wireless broadband under a flexibly licensed, market-based regime.
Universal correlations of trapped one-dimensional impenetrable bosons
We calculate the asymptotic behaviour of the one body density matrix of
one-dimensional impenetrable bosons in finite size geometries. Our approach is
based on a modification of the Replica Method from the theory of disordered
systems. We obtain explicit expressions for oscillating terms, similar to
fermionic Friedel oscillations. These terms are universal and originate from
the strong short-range correlations between bosons in one dimension.Comment: 18 pages, 3 figures. Published versio
The second law, Maxwell's daemon and work derivable from quantum heat engines
With a class of quantum heat engines which consists of two-energy-eigenstate
systems undergoing, respectively, quantum adiabatic processes and energy
exchanges with heat baths at different stages of a cycle, we are able to
clarify some important aspects of the second law of thermodynamics. The quantum
heat engines also offer a practical way, as an alternative to Szilard's engine,
to physically realise Maxwell's daemon. While respecting the second law on the
average, they are also capable of extracting more work from the heat baths than
is otherwise possible in thermal equilibrium
Bath generated work extraction and inversion-free gain in two-level systems
The spin-boson model, often used in NMR and ESR physics, quantum optics and
spintronics, is considered in a solvable limit to model a spin one-half
particle interacting with a bosonic thermal bath. By applying external pulses
to a non-equilibrium initial state of the spin, work can be extracted from the
thermalized bath. It occurs on the timescale \T_2 inherent to transversal
(`quantum') fluctuations. The work (partly) arises from heat given off by the
surrounding bath, while the spin entropy remains constant during a pulse. This
presents a violation of the Clausius inequality and the Thomson formulation of
the second law (cycles cost work) for the two-level system.
Starting from a fully disordered state, coherence can be induced by employing
the bath. Due to this, a gain from a positive-temperature (inversion-free)
two-level system is shown to be possible.Comment: 4 pages revte
Vlasov scaling for the Glauber dynamics in continuum
We consider Vlasov-type scaling for the Glauber dynamics in continuum with a
positive integrable potential, and construct rescaled and limiting evolutions
of correlation functions. Convergence to the limiting evolution for the
positive density system in infinite volume is shown. Chaos preservation
property of this evolution gives a possibility to derive a non-linear
Vlasov-type equation for the particle density of the limiting system.Comment: 32 page
Absence of Edge Localized Moments in the Doped Spin-Peierls System CuGeSiO
We report the observation of nuclear quadrupole resonance (NQR) of Cu from
the sites near the doping center in the spin-Peierls system
CuGeSiO. The signal appears as the satellites in the Cu NQR
spectrum, and has a suppressed nuclear spin-lattice relaxation rate indicative
of a singlet correlation rather than an enhanced magnetic correlation near the
doping center. Signal loss of Cu nuclei with no neighboring Si is also
observed. We conclude from these observations that the doping-induced moments
are not in the vicinity of the doping center but rather away from it.Comment: 4 pages, 4 figures, accepted for publication in Phys. Rev. Let
Finite one dimensional impenetrable Bose systems: Occupation numbers
Bosons in the form of ultra cold alkali atoms can be confined to a one
dimensional (1d) domain by the use of harmonic traps. This motivates the study
of the ground state occupations of effective single particle states
, in the theoretical 1d impenetrable Bose gas. Both the system on a
circle and the harmonically trapped system are considered. The and
are the eigenvalues and eigenfunctions respectively of the one body
density matrix. We present a detailed numerical and analytic study of this
problem. Our main results are the explicit scaled forms of the density
matrices, from which it is deduced that for fixed the occupations
are asymptotically proportional to in both the circular
and harmonically trapped cases.Comment: 22 pages, 8 figures (.eps), uses REVTeX
Correlation functions and momentum distribution of one-dimensional Bose systems
The ground-state correlation properties of a one-dimensional Bose system
described by the Lieb-Liniger Hamiltonian are investigated by using exact
quantum Monte Carlo techniques. The pair distribution function, static
structure factor, one-body density matrix and momentum distribution of a
homogeneous system are calculated for different values of the gas parameter
ranging from the Tonks-Girardeau to the mean-field regime. Results for the
momentum distribution of a harmonically trapped gas in configurations relevant
to experiments are also presented.Comment: 4 pages, 5 figure
Gravitational lensing: a unique probe of dark matter and dark energy
I review the development of gravitational lensing as a powerful tool of the observational cosmologist. After the historic eclipse expedition organized by Arthur Eddington and Frank Dyson, the subject lay observationally dormant for 60 years. However, subsequent progress has been astonishingly rapid, especially in the past decade, so that gravitational lensing now holds the key to unravelling the two most profound mysteries of our Universe—the nature and distribution of dark matter, and the origin of the puzzling cosmic acceleration first identified in the late 1990s. In this non-specialist review, I focus on the unusual history and achievements of gravitational lensing and its future observational prospects
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