, and is partially funded by the 2014-2017 FIR-MIUR grant "COND-MATH, Condensed Matter in Mathematical Physics".
The Seminar presents a selection of recent advances in the current mathematical research driven primarily by models and emergent effects from condensed matter and ultra-cold atoms physics, statistical physics, and theoretical physics. This involves methods and tools from functional analysis, PDE, and operator theory, and in particular: quadratic forms, spectral and scattering theory, non-linear and dispersive PDEs, singular perturbations of elliptic differential operators, self-adjoint extension theory, scaling and kinetic limits, C*-algebraic formulation of Quantum Mechanics, semi-classical analysis, numerics, and topological and geometrical methods for solid state physics.
Marko Erceg, Matteo Gallone, Gianfausto Dell'Antonio, Alessandro Michelangeli, Alessandro Olgiati, Raffaele Scandone
Date
|
Speaker
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Seminar
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25 September 2017
|
Marcello Porta (University of Zurich)
|
Effective dynamics of interacting fermionic systems
|
19 June 2017
|
Marek Bozejko (Wroclaw)
|
Generalized Fock spaces, second quantization and ultra-contractivity of Ornstein-Uhlenbeck semigroups
|
8 June 2017
|
Roberta Musina (Udine)
|
On the dependence of the Spectral Fractional Laplacian on a domain
|
31 May 2017
|
Angelo Bassi (University of Trieste)
|
Collapse models and the challenge to the quantum superposition principle: an update
|
25 May 2017
|
Luca Fanelli (Rome La Sapienza)
|
About the Uncertainty Principle
|
24 May 2017
|
Matteo Gallone (SISSA Trieste)
|
Self-adjoint realisations of the Dirac operator with Coulomb interaction
|
18 May 2017
|
Marin Mišur (Zagreb)
|
Anisotropic distributions, microlocal defect functionals, and applications
|
4 May 2017
|
Marko Erceg (Zagreb + SISSA Trieste)
|
Friedrichs systems in a Hilbert space framework: solvability and multiplicity
|
11 April 2017
|
Gabriele Spada (SISSA Trieste)
|
The power of series
|
28 March 2017
|
Daniele Dimonte (SISSA Trieste)
|
Energy asymptotics for a fast rotating Bose-Einstein Condensate
|
23 March 2017
|
Raffaele Scandone (SISSA Trieste)
|
Global existence of weak solutions to the non-linear Schrödinger equation with rough, time-dependent magnetic potentials
|
16 March 2017
|
Alessandro Olgiati (SISSA Trieste)
|
Effective dynamics for multi-component BEC: mixtures, pseudo-spinors, fragmentation.
|
9 March 2017
|
Teoman Turgut (Istanbul Boğaziçi)
|
Born-Oppenheimer approximation for singular systems
|
9 March 2017
|
Torben Krüger (IST Vienna)
|
Stability of the matrix Dyson equation and random matrices with correlations
|
2 March 2017
|
Douglas Lundholm (KTH Stockholm)
|
Ground-state properties of the anyon gas
|
2 March 2017
|
Vieri Benci (Pisa)
|
Hylomorphic solitons
|
24 February 2017
|
Marcello Porta (University of Zurich)
|
Topological phase transitions in the Haldane-Hubbard model
|
24 February 2017
|
Stefano Lepri (CNR-ISC Florence)
|
The discrete non-linear Schrödinger equation out of equilibrium
|
24 February 2017
|
Rosario Fazio (SNS Pisa and ICTP Trieste)
|
Topological fractional pumping with alkaline-earth(-like) ultracold atoms
|
24 February 2017
|
Tomaz Prozen (Ljubljana)
|
Strongly correlated nonequilibrium steady states with currents – classical and quantum
|
24 February 2017
|
Valentina Ros (CEA Saclay)
|
Remanent magnetization: signature of many-body localization in quantum antiferromagnets
|
23 February 2017
|
Sabrina Maniscalco (TCQP Turku)
|
Quantum simulators of non-Markovian dynamics
|
23 February 2017
|
Michele Campisi (SNS Pisa)
|
(Quantum) Volume Entropy
|
23 February 2017
|
John Goold (ICTP Trieste)
|
Daemonic ergotropy: enhanced work extraction from quantum correlations
|
23 February 2017
|
Nilanjana Datta (DPMMS Cambridge)
|
Second-order asymptotics for quantum hypothesis testing in settings beyond i.i.d.
|
23 February 2017
|
Fabio Benatti (University of Trieste)
|
Hybrid mesoscopic dissipative dynamics on quantum spin chains
|
22 February 2017
|
Giovanni Landi (University of Trieste)
|
Sigma-models and the Schrödinger representation
|
22 February 2017
|
Antonello Scardicchio (ICTP Trieste)
|
Many body localisation and the glass phase
|
22 February 2017
|
Vieri Mastropietro (Milan)
|
Localisation of interacting fermions with quasi-random disorder
|
22 February 2017
|
Domenico Monaco (Tübingen)
|
Localisation dichotomy for gapped periodic quantum systems
|
22 February 2017
|
Raffaello Bianco (Rome La Sapienza)
|
Orbital magnetization in insulators: bulk versus surface
|
22 February 2017
|
Horia Cornean (Aalborg)
|
On the multiple-logarithm method in constructing exponentially localized composite Wannier functions
|
21 February 2017
|
Andrea Trombettoni (CNR Democritos Trieste)
|
Tunneling-based quantum devices with ultra-cold strongly interacting atoms
|
21 February 2017
|
Serena Cenatiempo (GSSI L'Aquila)
|
Analysis of fluctuations around non linear Schrödinger dynamics
|
21 February 2017
|
Giulia Semeghini (LENS Florence)
|
3D Anderson localization and liquid quantum droplets with ultra-cold atoms
|
21 February 2017
|
Mario Pulvirenti (Rome La Sapienza)
|
From N-Body Schrödinger to Hartree: Uniformity in the Planck constant
|
21 February 2017
|
Marcello Dalmonte (ICTP Trieste)
|
Lattice gauge theories in AMO systems: from spin ices to SU(N)
|
21 February 2017
|
Sandro Stringari (INO-CNR BEC Center Trento)
|
Superfluidity in spin-orbit coupled Bose-Einstein condensates
|
20 February 2017
|
Lev Pitaevskii (ICTP Trieste)
|
Solitons in two-component Bose-Einstein condensates
|
20 February 2017
|
Alessandro Teta (Rome La Sapienza)
|
Efimov effect for a three-particle system with two identical fermions
|
20 February 2017
|
Angelo Bassi (University of Trieste)
|
Collapse models and many-body quantum systems
|
20 February 2017
|
Johannes Hofmann (Cavendish Laboratory Cambridge)
|
Deep inelastic scattering on ultra-cold gases
|
20 February 2017
|
Giacomo Roati (LENS Florence)
|
Experiments with strongly interacting atomic Fermi gases
|
16 February 2017
|
Phan Thanh Nam (Masaryk Brno)
|
Collective behaviors of weakly interacting Bose gases - III
|
14 February 2017
|
Phan Thanh Nam (Masaryk Brno)
|
Collective behaviors of weakly interacting Bose gases - II
|
13 February 2017
|
Phan Thanh Nam (Masaryk Brno)
|
Collective behaviors of weakly interacting Bose gases - I
|
9 February 2017
|
Jean-Philippe Miqueu (Aarhus)
|
Spectral analysis of the magnetic Laplacian with vanishing magnetic field
|
2 February 2017
|
Chiara Saffirio (University of Zurich)
|
Mean field evolution of fermions with Coulomb interactions
|
2 February 2017
|
Giuseppe Genovese (University of Zurich)
|
Invariant measures for the periodic derivative non-linear Schrödinger equation
|
26 January 2017
|
Costanza Benassi (University of Zurich)
|
Decay of correlations in 2d quantum systems
|
25 January 2017
|
Domenico Finco (UTIU Rome)
|
On the ground state for the non-linear Schrödinger equation on a graph
|
18 January 2017
|
Heide Narnhofer (Vienna)
|
Results and open problems for the time evolution of continuous systems
|
12 January 2017
|
Diego Noja (Milan Bicocca)
|
A Dirac field coupled with classically moving nuclei
|
15 December 2016
|
Niels Benedikter (Copenhagen)
|
Effective evolution equations for many-body fermionic systems
|
2 December 2016
|
Emanuela Giacomelli (Rome La Sapienza)
|
Surface superconductivity in presence of corners (for type-II superconductors)
|
9 November 2016
|
Raffaele Scandone (SISSA Trieste)
|
On fractional powers of Schrödinger operators with point interactions
|
9 November 2016
|
Rodolfo Figari (Naples)
|
Quantum beating in a non-linear point interaction double-well potential
|
9 November 2016
|
Davide Fermi (Como Insubria)
|
Casimir energy for singular potentials concentrated on a plane
|
9 November 2016
|
Lorenzo Tentarelli (Naples)
|
Well-posedness of the two-dimensional NLS with concentrated non-linearity
|
9 November 2016
|
Raffaele Carlone (Naples)
|
The 1D Dirac equation with concentrated non-linearity
|
9 November 2016
|
Vladimir Lotoreichik (UJF-CAS Prague)
|
Optimization of the lowest eigenvalue for surface δ-interactions and for Robin Laplacians
|
8 November 2016
|
Markus Holzmann (TU Graz)
|
An extension-theoretic approach to the study of Dirac operators with δ-shell interactions supported on surfaces
|
8 November 2016
|
Konstantin Pankrashkin (Paris-Sud)
|
Eigenvalue inequalities and absence of threshold resonances for wave-guide junctions
|
8 November 2016
|
Andrea Posilicano (Como Insubria)
|
On the Calderon uniqueness problem with non-regular conductivity
|
8 November 2016
|
Claudio Cacciapuoti (Como Insubria)
|
Existence of ground state for the NLS on star-like graphs
|
8 November 2016
|
Andrea Ottolini (Stanford)
|
On point interactions realised as Ter-Martirosyan--Skornyakov Hamiltonians
|
8 November 2016
|
Giulia Basti (Rome La Sapienza)
|
Efimov effect for a system of two identical fermions and a different particle
|
7 November 2016
|
Yvan Castin (LKB-ENS Paris)
|
Unitary gases
|
7 November 2016
|
Sergio Albeverio (Bonn)
|
Point interactions – Some souvenirs and some new developments
|
27 October 2016
|
Nenad Antonić (Zagreb)
|
Friedrichs systems with complex coefficients
|
20 October 2016
|
Scipio Cuccagna (University of Trieste)
|
On the asymptotic stability of the ground states of the non-linear Schrödinger equation
|
13 October 2016
|
Kenji Yajima (Tokyo Gakushuin)
|
On the propagator of Schrödinger operators
|
11 July 2016
|
Andrea Ottolini (SISSA Trieste)
|
Self-adjoint extension theories and models of zero-range interactions
|
16 June 2016
|
Ugo Boscain (CNRS and Ecole Polytechnique)
|
Introduction to quantum control - II
|
14 June 2016
|
Ugo Boscain (CNRS and Ecole Polytechnique)
|
Introduction to quantum control - I
|
9 June 2016
|
Gian Michele Graf (ETH Zurich)
|
Time-reversal invariant topological insulators and a comparison of indices
|
6 June 2016
|
Vladimir Georgiev (Pisa)
|
Scattering of small solutions of the cubic non-linear Schrödinger equation with short-range potentials
|
24 May 2016
|
Valentina Ros (SISSA Trieste)
|
Interacting quantum systems with disorder: localisation and integrals of motion
|
19 May 2016
|
Stefan Teufel (Tübingen)
|
The non-linear Schrödinger limit for bosons in a quantum wave-guide
|
19 May 2016
|
Andrea Trombettoni (SISSA Trieste)
|
Quantum simulations of the Kondo effect in Y-junctions of 1D waveguides with ultra-cold bosons
|
12 May 2016
|
Guglielmo Feltrin (SISSA Trieste)
|
High multiplicity of positive solutions to indefinite boundary value problems: a topological approach
|
12 May 2016
|
Alessandro Fonda (University of Trieste)
|
Periodic solutions of Hamiltonian systems arising from the Poincaré-Birkhoff theorem
|
4 May 2016
|
Christian Kühn (TU Graz)
|
Schrödinger operators with delta-interactions on curves in R^3
|
21 April 2016
|
Serena Cenatiempo (GSSI L'Aquila)
|
A norm approximation to the boson many-body dynamics
|
11 March 2016
|
Nikolai Leopold (LMU Munich)
|
Mean-field limits of charged particles in interaction with their radiation field
|
3 March 2016
|
Raffaele Resta (University of Trieste)
|
The geometry of the insulating state of matter
|
3 March 2016
|
Lorenzo Piroli (SISSA Trieste)
|
Non-equilibrium dynamics in many-body quantum integrable systems
|
29 February 2016 - 11 March 2016
|
Peter Pickl (LMU Munich)
|
Quantum many-body dynamics and effective evolution equations (graduate course)
|
25 February 2016
|
Rodolfo Figari (Naples)
|
Tracks of a quantum particle in quantum environments
|
18 February 2016
|
Mario Pulvirenti (Rome La Sapienza)
|
Scaling limits and kinetic equations
|
5 February 2016
|
Fabio Benatti (University of Trieste)
|
Dissipative dynamics on large spin chains - Part II
|
4 February 2016
|
Fabio Benatti (University of Trieste)
|
Dissipative dynamics on large spin chains - Part I
|
28 January 2016
|
Andrea Posilicano (Como Insubria)
|
Limiting absorption principle, generalised eigenfunction expansions, and scattering matrix for Laplace operators with boundary conditions on hyper-surfaces
|
28 January 2016
|
Jussi Behrndt (TU Graz)
|
Scattering matrices and Dirichlet-to-Neumann maps
|
21 January 2016
|
Andrea Sacchetti (Modena)
|
Non-linear Schrödinger equation with periodic potential (plus Stark-type perturbation)
|
14 January 2016
|
Gustavo De Oliveira (SISSA Trieste)
|
Quantum dynamics of a particle constrained to lie on a surface
|
18 December 2015
|
Teoman Turgut (Istanbul Boğaziçi)
|
Some ideas for Bose-Einstein condensation on a manifold
|
17 December 2015
|
Susanna Terracini (Turin)
|
On Aharonov-Bohm operators with varying poles
|
10 December 2015
|
Roberto Longo (Rome Tor Vergata and CMTP)
|
Where infinite spin particles are localizable
|
7 December 2015
|
Teoman Turgut (Istanbul Boğaziçi)
|
Heat kernel approach to singular problems
|
3 December 2015
|
John Barrett (Nottingham)
|
Random non-commutative geometries
|
26 November 2015
|
Giuseppe Marmo (Naples)
|
Geometric formulation of Quantum Mechanics: states and evolution
|
19 November 2015
|
Detlef Dürr (LMU Munich)
|
What is the mystery of Quantum Physics?
|
12 November 2015
|
Jan Dereziński (Warsaw)
|
Canonical commutation relations and Bogoliubov transformations
|
5 November 2015
|
Federico Carollo (University of Trieste)
|
Non-Markovian many-body dynamics
|
29 October 2015
|
Pavel Exner (CAS Prague)
|
Schrödinger operators exhibiting a parameter-dependent spectral transition
|
22 October 2015
|
Antti Knowles (ETH Zurich)
|
Local eigenvalue statistics for random regular graphs
|
17 June 2015
|
Benjamin Schlein (University of Zurich)
|
Time evolution of quantum systems in the BCS approximation
|
11 June 2015
|
Diego Noja (Milan Bicocca)
|
Bifurcation and stability of standing waves for non-linear Schrödinger equation on a tadpole graph
|
5 June 2015
|
Alessandro Giuliani (University of Rome 3)
|
Quantum Hall effect in the interacting Haldane model
|
4 June 2015
|
Fabio Benatti (University of Trieste)
|
Quantum fluctuations, dissipation, and mesoscopic entanglement
|
14 May 2015
|
Alexander Lorz (UPMC Paris, Laboratoire Jacques-Louis Lions)
|
At the crossroads of evolutionary PDEs, numerics, and biology: population dynamics and therapeutic resistance - mathematical models
|
6 May 2015
|
Gianluca Panati (Rome La Sapienza)
|
Geometry and localization in periodic Schrödinger dynamics
|
27 April 2015
|
Giuseppe de Nittis (Erlangen)
|
The topology of chiral vector bundles
|
26 March 2015
|
Andrea Trombettoni (Democritos Trieste)
|
Suppression of Landau instability for supersonic superfluid flows
|
19 March 2015
|
Balázs Hetényi (Bilkent University Ankara)
|
The topology of ideal conduction
|
17 March 2015
|
Balázs Hetényi (Bilkent University Ankara)
|
Supersolidity in the bosonic Hubbard model
|
12 March 2015
|
Riccardo Adami (Polytechnic University Turin)
|
Ground states for the non-linear Schrödinger equation on graphs: existence and non-existence results
|
5 March 2015
|
Claudia Negulescu (UPS Toulouse III)
|
Numerical aspects concerning an efficient resolution of the Schrödinger equation. Application to decoherence.
|
12 February 2015
|
Valter Moretti (Trento)
|
Frame functions in finite-dimensional Quantum Mechanics and its Hamiltonian formulation on complex projective spaces
|
29 January 2015
|
Daniele Guido (Rome Tor Vergata)
|
Crossed product of a spectral triple with a single endomorphism
|
22 January 2015
|
Naiara Arrizabalaga (UPV/EHU Bilbao)
|
Shell interactions for Dirac operators
|
13 January 2015
|
Nicola Visciglia (Pisa)
|
A revised version of the Brézis-Gallouët technique
|
11 December 2014
|
Domenico Monaco (SISSA Trieste)
|
Geometry in Solid State Physics: the case study of topological insulators
|
4 December 2014
|
Peter Pickl (LMU Munich)
|
Derivation of the semiclassical Schrödinger equation from Quantum Electrodynamics
|
20 November 2014
|
Alexander K. Motovilov (JINR Dubna)
|
Bounds on perturbations of spectra and spectral subspaces
|
6 November 2014
|
Paolo Antonelli (GSSI L'Aquila)
|
On a class of non-linear Schrödinger equations with non-linear damping
|
30 October 2014
|
László Zsidó (Rome Tor Vergata)
|
On Woronowicz's approach to the Tomita-Takesaki theory
|