Seminari di Fisica Matematica
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| Seminari A.A. 2010-2011 |
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Relatore |
Titolo |
Data |
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Francesco Cellarosi
Princeton University |
19 Luglio 2011 |
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Karol Kozlowski
DESY |
30 Giugno 2011 (giovedì) |
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Abstract ritorna |
Quantum integrable models in one dimension constitute a class
of non-trivial many-body quantum Hamiltonians where a great number of
calculations is feasible to the very end, this without any approximations.
It has been shown over the years that it is possible to give a precise
description of the spectrum of these model. Recently, there appeared various
techniques allowing one to provide representations for the correlation
functions in terms of series of multiple integrals or large-size determinants.
Such exact representations can be seen as a first step towards the
computation, starting from the first principles, of the long-distance
(and long-time) asymptotic behavior of two-point functions. Exact results in
this direction allow one to provide, in the case of integrable models, a
strong confirmation of the various approximation methods (CFT, Luttinger
liquid, non-linear Luttinger liquid) used to study certain limiting regimes
in one dimensional gapless quantum Hamiltonians.
In this talk, I will overview the recent developments in respect to the
computation of the large-distance and long-time asymptotic behavior of the
two-point functions in the non-linear Schrödinger model at any value of
the coupling constant. I will also briefly discuss the progress in the
computation, starting from the first principles, of the edge exponents
characterizing the power-law behavior of the density structure factor
and the spectral functions near the edges of the particle or hole excitation
tresholds. After discussing the spectrum of this model, I will describe
the type of representations existing for the correlation functions. In
particular, I will discuss the large volume behavior of form factors of local
operators and show how such informations can be used to extract their
large-distance and long-time asymptotic behavior on the one hand and the
edge exponents and their associated amplitudes on the other. Part of these
results stem from a joint work with Kitanine, Maillet, Slavnov and Terras. |
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Elena Pulvirenti
Università di Roma Tre |
26 Giugno 2011 (giovedì aula 211) |
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Antonio Di Carlo
Università di Roma Tre |
12 Aprile 2011 |
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Yuri Kondratiev
Universität Bielefeld |
Kawasaki type dynamics for IPS in continuum |
01 Marzo 2011 |
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Michela Procesi
Università di Napoli "Federico II" |
22 Febbraio 2011 |
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Ioannis Anapolitanos
Toronto University |
11 Febbraio 2011 (venerdì) |
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Kevin Schnelli
ETH Zurich |
08 Febbraio 2011 |
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Daniel Egli
ETH Zurich |
01 Febbraio 2011 |
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Michele Correggi
CIRM Università di Trento |
18 Gennaio 2011 |
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Enrico Valdinoci
Università di Roma "Tor Vergata" |
09 Novembre 2010 |
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Serena Cenatiempo
Università di Roma "La Sapienza" |
02 Novembre 2010 |
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Livia Corsi
Università di Roma Tre |
27 Ottobre 2010 (mercoledì ore 16.00) |
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Eva Löcherbach
Université de Cergy-Pointoise |
05 Ottobre 2010 (ore 15.00) |
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