2,577 research outputs found
Non-equilibrium quantum condensation in an incoherently pumped dissipative system
We study spontaneous quantum coherence in an out of equilibrium system,
coupled to multiple baths describing pumping and decay. For a range of
parameters describing coupling to, and occupation of the baths, a stable
steady-state condensed solution exists. The presence of pumping and decay
significantly modifies the spectra of phase fluctuations, leading to
correlation functions that differ both from an isolated condensate and from a
laser.Comment: 5 pages, 2 eps figure
Bloch oscillations in one-dimensional spinor gas
A force applied to a spin-flipped particle in a one-dimensional spinor gas
may lead to Bloch oscillations of particle's position and velocity. The
existence of Bloch oscillations crucially depends on the viscous friction force
exerted by the rest of the gas on the spin excitation. We evaluate the friction
in terms of the quantum fluid parameters. In particular, we show that the
friction is absent for integrable cases, such as SU(2) symmetric gas of bosons
or fermions. For small deviations from the exact integrability the friction is
very weak, opening the possibility to observe Bloch oscillations.Comment: 4 pages, 2 figure
Electron Transport in Granular Metals
We consider thermodynamic and transport properties of a long granular array
with strongly connected grains (inter-grain conductance g>>1.) We find that the
system exhibits activated behavior of conductance and thermodynamic density of
states ~exp(-T*/T) where the gap, T*, is parametrically larger than the energy
at which conventional perturbation theory breaks down. The scale T* represents
energy needed to create a long single-electron charge soliton propagating
through the array.Comment: 4 pages, 1 figur
Rare Events Statistics in Reaction--Diffusion Systems
We develop an efficient method to calculate probabilities of large deviations
from the typical behavior (rare events) in reaction--diffusion systems. The
method is based on a semiclassical treatment of underlying "quantum"
Hamiltonian, encoding the system's evolution. To this end we formulate
corresponding canonical dynamical system and investigate its phase portrait.
The method is presented for a number of pedagogical examples.Comment: 12 pages, 6 figure
Large rare fluctuations in systems with delayed dissipation
We study the probability distribution and the escape rate in systems with
delayed dissipation that comes from the coupling to a thermal bath. To
logarithmic accuracy in the fluctuation intensity, the problem is reduced to a
variational problem. It describes the most probable fluctuational paths, which
are given by acausal equations due to the delay. In thermal equilibrium, the
most probable path passing through a remote state has time reversal symmetry,
even though one cannot uniquely define a path that starts from a state with
given system coordinate and momentum. The corrections to the distribution and
the escape activation energy for small delay and small noise correlation time
are obtained in the explicit form.Comment: 9 page
Dynamic response of mesoscopic metal rings and thermodynamics at constant particle number
We show by means of simple exact manipulations that the thermodynamic
persistent current in a mesoscopic metal ring threaded by a
magnetic flux at constant particle number agrees even beyond linear
response with the dynamic current that is defined via the
response to a time-dependent flux in the limit that the frequency of the flux
vanishes. However, it is impossible to express the disorder average of in terms of conventional Green's functions at flux-independent
chemical potential, because the part of the dynamic response function that
involves two retarded and two advanced Green's functions is not negligible.
Therefore the dynamics cannot be used to map a canonical average onto a more
tractable grand canonical one. We also calculate the zero frequency limit of
the dynamic current at constant chemical potential beyond linear response and
show that it is fundamentally different from any thermodynamic derivative.Comment: 19 pages, postscript (uuencoded, compressed
Magnetic Dipole Absorption of Radiation in Small Conducting Particles
We give a theoretical treatment of magnetic dipole absorption of
electromagnetic radiation in small conducting particles, at photon energies
which are large compared to the single particle level spacing, and small
compared to the plasma frequency. We discuss both diffusive and ballistic
electron dynamics for particles of arbitrary shape.
The conductivity becomes non-local when the frequency is smaller than the
frequency \omega_c characterising the transit of electrons from one side of the
particle to the other, but in the diffusive case \omega_c plays no role in
determining the absorption coefficient. In the ballistic case, the absorption
coefficient is proportional to \omega^2 for \omega << \omega_c, but is a
decreasing function of \omega for \omega >> \omega_c.Comment: 25 pages of plain TeX, 2 postscipt figure
Spin and Charge Correlations in Quantum Dots: An Exact Solution
The inclusion of charging and spin-exchange interactions within the Universal
Hamiltonian description of quantum dots is challenging as it leads to a
non-Abelian action. Here we present an {\it exact} analytical solution of the
probem, in particular, in the vicinity of the Stoner instabilty point. We
calculate several observables, including the tunneling density of states (TDOS)
and the spin susceptibility. Near the instability point the TDOS exhibits a
non-monotonous behavior as function of the tunneling energy, even at
temperatures higher than the exchange energy. Our approach is generalizable to
a broad set of observables, including the a.c. susceptibility and the
absorption spectrum for anisotropic spin interaction. Our results could be
tested in nearly ferromagnetic materials.Comment: JETPL class, 6 pages, 2 figure
Correlation functions of the BC Calogero-Sutherland model
The BC-type Calogero-Sutherland model (CSM) is an integrable extension of the
ordinary A-type CSM that possesses a reflection symmetry point. The BC-CSM is
related to the chiral classes of random matrix ensembles (RMEs) in exactly the
same way as the A-CSM is related to the Dyson classes. We first develop the
fermionic replica sigma-model formalism suitable to treat all chiral RMEs. By
exploiting ''generalized color-flavor transformation'' we then extend the
method to find the exact asymptotics of the BC-CSM density profile. Consistency
of our result with the c=1 Gaussian conformal field theory description is
verified. The emerging Friedel oscillations structure and sum rules are
discussed in details. We also compute the distribution of the particle nearest
to the reflection point.Comment: 12 pages, no figure, REVTeX4. sect.V updated, references added (v3
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