First Announcement: General Information
XX Training Course in the Physics of Strongly Correlated Systems
The Training Courses - taking place in the enchanting Amalfi Coast - are aimed at graduate students and PostDoc researchers, and offer the fascinating possibility to meet selected experts belonging to different areas in Condensed Matter Physics. Every year the Training Courses cover hot topics of Condensed Matter Physics offering to the participants a deep overview from different perspectives (theoretical, experimental, phenomenological).
This year the focus will be on
“Out of equilibrium dynamics in correlated electron systems”.
Compared to our understanding of equilibrium physics, the study of out of equilibrium dynamical phenomena is still in its infancy. Equilibrium systems can often be understood using mean field theory, universality and renormalization group techniques. The situation is different away from equilibrium: there are fewer theoretical tools available, new approaches have to be developed and new organizing principles have to be found. Moreover, in non-equilibrium the electronic interactions lead to novel and complex properties of great relevance for the fundamental understanding and the technological applications of materials.
The XX Training Course in the Physics of Strongly Correlated systems aims to bring together PhD students and Postdocs with diverse expertise in the field of correlated systems to introduce them to the state-of-the-art on numerical and analytical approaches to out-of-equilibrium many-body systems, on spectroscopies and ultrafast dynamics in correlated materials.
The Course is open to a limited number (around 30) of young (aged under 35) researchers. The registration fee is €400 (Euro). Lodging and meals, full-board accommodation in the selected Hotel: (Hotel La Lucertola) for the entire duration of the course (13 nights: arrival on Sunday October 2, departure in the morning of Saturday October 15, 2016), will be in the order of €1,200 (Euro). A limited number of grants, covering partially the accommodation, will be assigned to accepted participants, upon request and after a careful screening of CVs and home institution funding capabilities. A limited number of participants will have the opportunity to deliver a seminar.
In the 2016 edition, young researchers will benefit from training in scientific techniques and various methodologies under the guidance of 4 highly qualified senior researchers:
Prof. Enrico Arrigoni
Institut für Theoretische Physik
Technische Universität Graz
Petersgasse 16
A-8010 Graz, Austria
Prof. Massimo Capone
SISSA
Via Bonomea 265
I-34136 Trieste – Italy
Prof. Dr. Martin Eckstein
Max-Planck-Institut für Struktur und Dynamik der Materie
Luruper Chaussee 149, Geb. 99 (CFEL)
22761 Hamburg Germany
Prof. Dr. Stefan Kaiser
Max Planck Institute for Solid State Research
Ultrafast Solid State Spectroscopy
Heisenbergstr. 1, 70569 Stuttgart Germany
Topics:
Prof. Enrico Arrigoni (10 – 14 October)
Title: "Master equation versus Keldysh Green's functions for correlated quantum systems out of equilibrium"
Plan of the lectures:
1) Master Equation, Closed vs open quantum systems. System bath and reduced density matrix
2) Quantum operations, Kraus Operators, Markovian assumption, Lindblad master equation, dissipation.
3) Solution methods for the many body case. Superfermion representation.
4) Relation with Keldysh Green's functions. When is a bath Markovian?
5) How to treat the non Markovian case. Application to correlated quantum impurities and DMFT
Prof. Massimo Capone (3 – 7 October)
Title: "Towards an understanding of superconductors and correlated materials out-of-equilibrium: mean-field approaches"
Plan of the lectures:
Lecture 1: Equilibrium Methods for Strongly Correlated Electrons: the Gutzwiller approximation and Dynamical Mean-field Theory
Training Session 1: The Mott-Hubbard transition
Lecture 2: The non-equilibrium Gutzwiller approximation
Training Session 2: Quantum quench in the Hubbard model
Lecture 3: Strongly Correlated Systems in a constant Electric field: Dissipation and Dielectric Breakdown
Training Session 3: To be announced
Lecture 4: Non-equilibrium dynamics of Superconductors. BCS superconductors, s-wave, d-wave and p+ip wave
Training Session 4: Practical implementation of the dynamics of s-wave superconductors
Lecture 5: Pump and probe dynamics of High-temperature superconductors: A theorist’s perspective
Training Session 5: To be announced
Prof. Martin Eckstein (3 – 7 October)
Title: "Electronic structure of correlated materials out of equilibrium: non-equilibrium dynamical mean-field theory, Martin Eckstein, Max-Planck Institute for Structure and Dynamics of Matter, Hamburg, Germany"
Plan of the lectures:
Lecture 1: Keldysh formalism: Ultra-fast dynamics of correlated electrons [3,4]
a) Basics of nonequilibrium Green's functions, the Keldysh contour, real-time path integrals and perturbation theory
b) Theoretical description of pump-probe experiments
Lecture 2: Relaxation in many-body systems beyond kinetic equations
a) From nonequilibrium Green's functions to kinetic equations [3]
b) Photo-induced dynamics of systems with electron phonon coupling
c) From collisionless relaxation to thermalization: Nonthermal melting of a spin-density wave [5]
Lecture 3: Non-equilibrium dynamical mean-field theory
a) Introduction to dynamical mean-field theory (DMFT) [4,6].
b) The quantum impurity model out of equilibrium [4,7]
c) The Mott-Hubbard metal-insulator transition out of equilibrium: How fast do quasiparticles emerge? [8]
Lecture 4: Periodically driven systems [4,10]
a) The Floquet theorem, band structure of periodically driven systems
b) Effective Hamiltonians of driven systems: Floquet Schrieffer-Wolff transformation
c) The time-periodic state: Floquet Green's functions, application to driven BCS superconductors
Lecture 5: Electrons and spins out of equilibrium: Magnetic exchange interactions in non equilibrium situations [9]
Prof. Stefan Kaiser (10 – 14 October)
Title: "Ultrafast optical control of complex quantum materials"
Plan of the lectures:
Lecture 1: Ultrafast Science & Technology
a) How do ultrafast lasers work? What is pump probe spectroscopy? [1]
b) Which experimental techniques can probe the different dynamical properties? [2-4]
Lecture 2: Photo-doping Dynamics in Correlated Electron Systems
a) How do correlations influence the quasiparticle dynamics? [2-5]
b) On what time scales photo-induced phase transitions can occur? [5,6]
Lecture 3: Non-equilibrium Dynamics of Collective Excitations in Complex Materials
a) What kind of collective excitations can be triggered by ultrafast light pulses [7-12]
b) “Higgs-spectroscopy” and or vs Amplitudon-phason-dynamics [13-15]
Lecture 4: Non-linear Phononics and Optical Control of Superconductivity in Cuprates
a) Non-thermal Optical Control of Materials and Superconductivity [16-20]
b) Coherent phonons and non-linear phonon interactions [20-22]
Lecture 5: Control of Effective Correlations and Inducing Superconductivity in Organic Quantum Materials
a) Vibrational coupling in organic quantum materials [23,24]
b) Effective control of local electronic interactions [6,25-27]
References:
[1] Laser Spectroscopy, Basic Concepts and Instrumentation, Wolfgang Demtröder, Springer (1996) or Laser Spectroscopy, Vol. 1 and Vol. 2 , Wolfgang Demtröder, Springer Verlag
[2] N.P. Armitage, Electrodynamics of Correlated Electron Systems, arXiv:0908.1126
[3] Susan L. Dexheimer, Theraherz Spectroscopy, CRC Press (2007)
[4] D.N Basov et al., Electrodynamics of Correlated Electron Materials, Rev. Mod. Phys. 83, 471 (2011)
[5] C. Gianetti et al., arxiv:1601.07204
[6] S. Iwai, Photoinduced Phase Transitions in a-,t-, and k-type ET salts: Ultrafast Melting of the Electronic Ordering, Crystals 2, 590 (2012)
[7] Charge Density Waves in Solids, George Gruner, WestView Press or The Dynamics of charge-density waves, Rev. Mod. Phys. 60, 1129 (1988)
[8] J. Demsar et al., PRL 83, 800 (1999)
[9] M. Eichenberger et al., Nature 468, 799 (2010)
[10] T. Rohwer et al, Nature 471, 490 (2011)
[11] J.C. Petersen et al., PRL 107, 177402 (2011)
[12] H.Y. Liu et al. PRB 88, 045104 (2013)
[13] R. Matsunaga et al. PRL 111, 057002 (2013)
[14] R. Matsunaga et al. Science 345, 1145 (2014)
[15] H. Krull et al, Nat. Comm. 7, 11921 (2016)
[16] D. Fausti et al, Science 331, 189 (2011)
[17] S. Kaiser et al, PRB 89, 84516 (2014)
[18] W. Hu et al. Nat Mat. 13, 705 (2014)
[19] D. Nicoletti et al. PRB 90, 100503 (2014)
[20] R. Mankowsky et al. Nature 516, 71 (2016)
[21] M. Foerst et al, Nat. Phys. 7, 854, (2011)
[22] A. Subedi et al. PRB 89, 220301 (2014)
[23] A. Girlando J. Phys. Chem. C, 115, 19371 (2011)
[24] M.E. Kozlov et al. Synthetic Metals 86, 2177 (1997)
[25] S. Kaiser et al, Scientific reports 4, 3823 (2014)
[26] R. Singla et al. PRL 115, 187401 (2015)
[27] M. Mitrano et al. Nature 530, 461 (2016)
LOGISTIC:
The Training Course is not intended as a series of formal lectures where no real contact develops between lecturers and audience. The idea is to put together, for two weeks, senior and young researchers in a close and informal atmosphere. The course lasts two weeks and sees the participation of two senior researchers per week (Monday to Friday). In the morning, each senior researcher will deliver a lecture. The afternoon sessions are devoted to training and emphasis will be on introducing young researchers to some specific problems and guiding them through their solution. The participants will be encouraged to present their own activity. The aim is to help young researchers to become more familiar with different approaches and start new collaborations.
SCHEDULE:
(i) Morning session from 9.00 to 13.30: two lectures (two hours each) delivered by two lecturers;
(ii) Afternoon session from 15.00 to 18.00: devoted to training (one hour for students' seminars, two hours for lecturers' training session).
LOCATION:
Vietri (from Veteri, its ancient Roman name) sul Mare (on sea) is located within walking distance from Salerno and marks the beginning of the Amalfi Coast. The town is about five minutes drive from Salerno , one hour from Naples Airport and three hours from Rome Fiumicino Airport. Short rides take to Positano, Sorrento, Herculaneum, Pompeii, Paestum, the Vesuvius or to the islands of Capri, Ischia, Procida (by boat).
Google Map with main sites
The Director of the Course: Ferdinando Mancini
The Coordinator of the Course: Roberta Citro
Supporting staff: Marilena Catapano, Pasquale Marra, Francesco Romeo
APPLICATION FORM (to be submitted no later than July 25, 2016):
Application form and logistic information are available at: http://www.iiassvietri.it/it/registration-2016/application-form.html
For further information please contact:
Dr. Roberta Citro
Dipartimento di Fisica "E.R. Caianiello"
Università degli Studi di Salerno
Via Giovanni Paolo II, 132
I-84081 Fisciano (SA)
Italy
Tel. 39 089 96 9187
Fax: 39 089 96 9658
E-mail: Questo indirizzo email è protetto dagli spambots. E' necessario abilitare JavaScript per vederlo.
Web page: http://www.fisica.unisa.it/roberta.citro
Previous events:
http://www.iiassvietri.it/it/training-course-in-t
