181 research outputs found
Glimmers of a Quantum KAM Theorem: Insights from Quantum Quenches in One Dimensional Bose Gases
Real-time dynamics in a quantum many-body system are inherently complicated
and hence difficult to predict. There are, however, a special set of systems
where these dynamics are theoretically tractable: integrable models. Such
models possess non-trivial conserved quantities beyond energy and momentum.
These quantities are believed to control dynamics and thermalization in low
dimensional atomic gases as well as in quantum spin chains. But what happens
when the special symmetries leading to the existence of the extra conserved
quantities are broken? Is there any memory of the quantities if the breaking is
weak? Here, in the presence of weak integrability breaking, we show that it is
possible to construct residual quasi-conserved quantities, so providing a
quantum analog to the KAM theorem and its attendant Nekhoreshev estimates. We
demonstrate this construction explicitly in the context of quantum quenches in
one-dimensional Bose gases and argue that these quasi-conserved quantities can
be probed experimentally.Comment: 21 pages with appendices; 13 figures; version accepted by PR
Particle Formation and Ordering in Strongly Correlated Fermionic Systems: Solving a Model of Quantum Chromodynamics
In this paper we study a (1+1)-dimensional version of the famous
Nambu-Jona-Lasinio model of Quantum Chromodynamics (QCD2) both at zero and
finite hadron density. We use non-perturbative techniques (non-Abelian
bosonization and Truncated Conformal Space Approach). At zero density we
describe a formation of fermion three-quark (nucleons and -baryons) and
boson (two-quark mesons, six-quark deuterons) bound states and also a formation
of a topologically nontrivial phase. At finite hadron density, the model has a
rich phase diagram which includes phases with density wave and superfluid
quasi-long-range (QLR) order and also a phase of a baryon Tomonaga-Luttinger
liquid (strange metal). The QLR order results as a condensation of scalar
mesons (the density wave) or six-quark bound states (deuterons).Comment: 31 pages, pdflatex file, 7 figures; typos corrected, the version from
Phys. Rev.
Interference effects in interacting quantum dots
In this paper we study the interplay between interference effects in quantum
dots (manifested through the appearance of Fano resonances in the conductance),
and interactions taken into account in the self-consistent Hartree-Fock
approximation. In the non-interacting case we find that interference may lead
to the observation of more than one conductance peak per dot level as a
function of an applied gate voltage. This may explain recent experimental
findings, which were thought to be caused by interaction effects. For the
interacting case we find a wide variety of different interesting phenomena.
These include both monotonous and non-monotonous filling of the dot levels as a
function of an applied gate voltage, which may occur continuously or even
discontinuously. In many cases a combination of the different effects can occur
in the same sample. The behavior of the population influences, in turn, the
conductance lineshape, causing broadening and asymmetry of narrow peaks, and
determining whether there will be a zero transmission point. We elucidate the
essential role of the interference between the dot levels in determining these
outcomes. The effects of finite temperatures on the results are also examined.Comment: 11 pages, 9 fugures, REVTeX
Purely transmitting integrable defects
Some aspects of integrable field theories possessing purely transmitting
defects are described. The main example is the sine-Gordon model and several
striking features of a classical field theory containing one or more defects
are pointed out. Similar features appearing in the associated quantum field
theory are also reviewed briefly.Comment: 6 pages, to appear in Proceedings of the XVth International
Colloquium on Integrable Systems and Quantum Symmetries, Prague, June 200
Microstructure and dynamics of magnetic iron nanoparticles aggregates in protein gels
The 60 nm metallic iron nanoparticles and its aggregates in gelatine gel were studied by means of optical microscopy, X-ray microtomography, atomic force scanning microscopy and the Mössbauer spectroscopy. The isolated nanoparticles in gel exhibit fast bounded diffusion described by Brownian movement. In the external magnetic field these magnetic particles form spectacular linear aggregates whose local dynamical and magnetic properties were determined from the Mössbauer spectra
Quench Dynamics in Randomly Generated Extended Quantum Models
We analyze the thermalization properties and the validity of the Eigenstate
Thermalization Hypothesis in a generic class of quantum Hamiltonians where the
quench parameter explicitly breaks a Z_2 symmetry. Natural realizations of such
systems are given by random matrices expressed in a block form where the terms
responsible for the quench dynamics are the off-diagonal blocks. Our analysis
examines both dense and sparse random matrix realizations of the Hamiltonians
and the observables. Sparse random matrices may be associated with local
quantum Hamiltonians and they show a different spread of the observables on the
energy eigenstates with respect to the dense ones. In particular, the numerical
data seems to support the existence of rare states, i.e. states where the
observables take expectation values which are different compared to the typical
ones sampled by the micro-canonical distribution. In the case of sparse random
matrices we also extract the finite size behavior of two different time scales
associated with the thermalization process.Comment: 30 pages, 44 figure
Transport Properties of Multiple Quantum Dots Arranged in Parallel: Results from the Bethe Ansatz
In this paper we analyze transport through a double dot system connected to
two external leads. Imagining each dot possessing a single active level, we
model the system through a generalization of the Anderson model. We argue that
this model is exactly solvable when certain constraints are placed upon the dot
Coulomb charging energy, the dot-lead hybridization, and the value of the
applied gate voltage. Using this exact solvability, we access the zero
temperature linear response conductance both in and out of the presence of a
Zeeman field. We are also able to study the finite temperature linear response
conductance. We focus on universal behaviour and identify three primary
features in the transport of the dots: i) a so-called RKKY Kondo effect; ii) a
standard Kondo effect; and iii) interference phenomena leading to sharp
variations in the conductance including conductance zeros. We are able to use
the exact solvability of the dot model to characterize these phenomena
quantitatively. While here we primarily consider a double dot system, the
approach adopted applies equally well to N-dot systems.Comment: 28 pages, 10 figures; references added in v
Particle formation and ordering in strongly correlated fermionic systems: Solving a model of quantum chromodynamics
Association of Psb28 and Psb27 proteins with PSII-PSI supercomplexes upon exposure of Synechocystis sp. PCC 6803 to high light
Formation of the multi-subunit oxygen-evolving Photosystem II (PSII) complex involves a number of auxiliary protein factors. In this study we compared the location and possible function of two homologous PSII assembly factors, Psb28-1 and Psb28-2, from the cyanobacterium Synechocystis sp. PCC 6803. We show that FLAG-tagged Psb28-2 is present in both the monomeric PSII core complex and a PSII core complex lacking the inner antenna CP43 (RC47) whereas Psb28-1 preferentially binds to RC47. When cells are exposed to increased irradiance, both tagged Psb28 proteins now associate with oligomeric forms of PSII and with PSII-PSI supercomplexes composed of trimeric Photosystem I (PSI) and two PSII monomers as deduced from negative stain electron microscopy. The presence of the Psb27 accessory protein in these complexes suggests the involvement of PSI in PSII biogenesis, possibly by photoprotecting PSII through energy spillover. Under standard cultivation conditions the distribution of PSII complexes is similar in WT and each of the single psb28 null mutants except for loss of RC47 in the absence of Psb28-1. In comparison with WT, growth of mutants lacking Psb28-1 and Psb27, but not Psb28-2, was retarded under high-light and, especially, intermittent highlight-dark conditions, emphasizing the physiological importance of PSII assembly factors for light acclimation
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