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In recent years, much progress was achieved in realizing highly controlled and coherent many-body systems. Examples of such systems include systems of ultra-cold atoms, molecules, systems of NV-centers in diamond, and superconductiong quibits. These remarkable experimentally advances pose a conceptually new set of theoretical questions regarding the universal laws describing the evolution and relaxation of closed many-body systems. This workshop will cover the most exciting recent theoretical developments in non-equilibrium many-body physics. Focus topics include thermalization in integrable and non-integrable strongly interacting systems, thermalization breakdown, perodically driven systems, and many-body localization in systems with quenched disorder. We will discuss key changes in the field and identify the possible roles to their solution.
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Ehud Altman, Weizmann Institute of Science
Jean-Sebastian Caux, University of Amsterdam
Luca D'Alessio, Boston University
Eugene Demler, Harvard University
Jens Eisert, Freie University Berlin
Fabian Essler, University of Oxford
Matthew Fisher, University of California, Santa Barbara
John Imbrie, University of Virginia
Robert Konik, Brookhaven National Laboratory
Aditi Mitra, New York University
Arijeet Pal, Harvard University
Anatoli Polkovnikov, Boston University
Marcos Rigol, Pennsylvania State University
Lea Santos, Yeshiva University
Antonello Scardicchio, Princeton University
Alessandro Silva, University of Trieste
Ronen Vosk, Weizmann Institute of Science
- Dmitry Abanin, Perimeter Institute
- Ehud Altman, Weizmann Institute of Science
- Oleg Boulanov, Laval University
- Michael Brockmann, University of Amsterdam
- Jean-Sebastien Caux, University of Amsterdam
- Juan Carrasquilla, Perimeter Institute
- Anushya Chandran, Perimeter Institute
- Eugene Demler, Harvard University
- Jens Eisert, Freie University Berlin
- Fabian Essler, University of Oxford
- Matthew Fisher, University of California, Santa Barbara
- Yimin Ge, Perimeter Institute
- John Imbrie, University of Virginia
- Isaac Kim, Perimeter Institute
- Robert Konik, Brookhaven National Laboratory
- William Witczak-Krempa, Perimeter Institute
- Oliver Landon-Cardinal, California Institute of Technolog
- Keith Lee, Perimeter Institute
- Ipsita Mandal, Perimeter Institute
- Aditi Mitra, New York University
- Khadijeh Najafi, Georgetown University
- Arijeet Pal, Harvard University
- Zlatko Papic, Perimeter Institute
- Anatoli Polkovnikov, Boston University
- Marcos Rigol, Pennsylvania State University
- Subir Sachdev, Harvard University
- Lea Santos, Yeshiva University
- Luiz Santos, Perimeter Institute
Antonello Scardicchio, Princeton University - Maksym Serbyn, Massachusetts Institute of Technology
- Alessandro Silva, University of Trieste
- Miles Stoudenmire, Perimeter Institute
- Jonathan Torres-Herrera, Yeshiva University
- Guifre Vidal, Perimeter Institute
- Ronen Vosk, Weizmann Institute of Science
Monday, May 12th, 2014
Time |
Event |
Location |
8:30 – 9:00am |
Registration |
Reception |
9:00 – 9:05am |
Welcome and Opening Remarks |
Bob Room |
9:05 – 10:00am |
Eugene Demler, Harvard University TBA |
Bob Room |
10:00 – 10:30am |
Coffee Break |
Bistro – 1st Floor |
10:30 – 11:25am |
Marcos Rigol, Pennsylvania State University Quantum Quenches in Thermodynamic Limit |
Bob Room |
11:25 – 12:20pm |
Jens Eisert, Freie University Berlin Dynamical analogue quantum simulators |
Bob Room |
12:30 – 2:00pm |
Lunch |
Bistro – 2nd Floor |
2:00 – 3:30pm |
Informal Discussions |
Bob Room |
3:30 – 4:00pm |
Coffee Break |
Bob Room |
4:00 – 5:00pm |
Discussion: Experiments |
Bob Room |
Tuesday, May 13th, 2014
Time |
Event |
Location |
9:00 – 10:00am |
Anatoli Polkovnikov TBA |
Bob Room |
10:00 – 10:30am |
Coffee Break |
Bistro – 1st Floor |
10:30 – 11:25am |
Fabian Essler, University of Oxford Light-Cone Effects after Quantum Quenches and Excitations at Finite Entropy |
Bob Room |
11:25 – 12:20pm |
Luca D`Alessio Long-time behavior of periodically driven isolated interacting quantum systems |
Bob Room |
12:20 – 12:30pm |
Conference Photo |
Atrium |
12:30 – 2:00pm |
Lunch Break |
Bistro – 2nd Floor |
2:00 – 3:30pm |
Condensed Matter Seminar Federico Becca, SISSA TBA Informal Discussion – Quantum Many Body Dynamics |
Bob Room
Alice Room |
3:30 – 4:00pm |
Coffee Breaks |
Bistro – 1st Floor |
4:00 – 5:00pm |
Discussion – Driven Systems |
Bob Room |
Wednesday, May 14, 2014
Time |
Event |
Location |
9:00 – 10:00am |
Ehud Altman Localization and topology protected quantum coherence at the edge of 'hot' matter |
Bob Room |
10:00 – 10:30am |
Coffee Break |
Bistro – 1st floor |
10:30 – 11:25am |
Arijeet Pal, Harvard University TBA |
Bob Room |
11:25 – 12:30pm |
John Imbrie, University of Virginia A Rigorous Result on Many-Body Localization |
Bob Room |
12:30 – 2:00pm |
Lunch |
Bistro – 2nd Floor |
2:00 – 3:30pm |
Colloquium Claudia de Rham What can we learn from modifying gravity |
Theatre |
3:30 – 4:00pm |
Break |
Bistro – 1st Floor |
4:00 – 5:00pm |
Discussion – Many-Body Localization |
Bob Room |
5:00 Onwards |
Banquet |
Bistro – 2nd Floor |
Thursday, May 15th, 2014
Time |
Event |
Location |
9:00 – 10:00am |
Jean-Sebastien Caux, University of Amsterdam Exact solutions for quenches in 1d Bose gases and quantum spin chains. |
Bob Room |
10:00 – 10:30am |
Coffee Break |
Bistro – 1st Floor |
10:30 – 11:25am |
Ronen Vosk, Weizmann Institute of Science Renormalization group theory of dynamics in many-body localized states and the many-body localization transition |
Bob Room |
11:25 – 12:30pm |
Matthew Fisher, UC Santa Barbara Can Eigenstate Thermalization Breakdown |
Bob Room |
12:30 – 2:00pm |
Lunch |
Bistro – 2nd Floor |
2:00 – 3:30pm |
Antonello Scardicchio, Princeton University TBA |
Bob Room |
3:30 – 4:00pm |
Coffee Break |
Bistro – 1st Floor |
4:00 – 5:00pm |
Discussion – Localization Without Disorder |
Bob Room |
5:00 Onwards |
Pub Night |
Bistro – 1st Floor |
Friday, May 16th, 2014
Time |
Event |
Location |
9:00 – 10:00am |
Robert Konik, Brookhaven National Laboratory Glimmers of a Quantum KAM Theorem: Insights from Quantum Quenches in One Dimensional Bose Gases |
Bob Room |
10:00 – 10:30am |
Coffee Break |
Bistro – 1st floor |
10:30 – 11:25am |
Aditi Mitra, New York University Quench dynamics in interacting and disordered field theories in one-dimension |
Bob Room |
11:25 – 12:20pm |
Lea Santos, Yeshiva University General Features of the Relaxation Dynamics of Isolated Interacting Quantum Systems |
Bob Room |
12:20 – 12:30pm |
Concluding Remarks |
Bob Room |
12:30 – 2:00pm |
Lunch |
Bistro – 2nd Floor |
2:00 – 3:30pm |
Informal Discussions |
Bob Room |
3:30 – 4:00pm |
Coffee Break |
Bistro – 1st Floor |
4:00 – 6:00pm |
Informal Discussions |
Bob Room |
Luca D`Alessio, Boston University
We show that generic interacting quantum systems, which are isolated and finite, periodically driven by sudden quenches exhibit three physical regimes. For short driving periods the Floquet Hamiltonian is well approximated by the time-averaged Hamiltonian, while for long periods the evolution operator exhibits properties of random matrices of a Circular Ensemble (CE). In-between, there is a crossover
regime. We argue that, in the thermodynamic limit and for nonvanishing driving periods, the evolution operator always exhibits properties of CE random matrices. Consequently, driving leads to infinite temperature at infinite time and to an unphysical Floquet Hamiltonian.
Ehud Altman, Weizmann Institute of Science
For the Kagome lattice, we find that a gapless U(1) spin liquid with Dirac cones
is competitive with previously proposed gapped spin liquids when only the nearest-neighbor antiferromagnetic interaction is present.[3,4] The inclusion of a next-nearest-neighbor term lead to a Z_2 gapped spin liquid,[5] in agreement with density-matrix renormalization group calculations.[6] In the Heisenberg model on the square lattice with both nearest- and next-nearest-neighbor interactions, a Z_2 spin liquid with gapless spinon excitations is stabilized in the frustrated regime.[7] This results are (partially) in agreement with recent density-matrix renormalization group on large cylinders.[8]
[1] X.-G. Wen, Phys. Rev. B {\bf 44}, 2664 (1991); Phys. Rev. B {\bf 65}, 165113 (2002).
[2] S. Sorella, Phys. Rev. B {\bf 64}, 024512 (2001).
[3] Y. Iqbal, F. Becca, S. Sorella, and D. Poilblanc, Phys. Rev. B 87, 060405(R) (2013).
[4] Y. Iqbal, D. Poilblanc, and F. Becca, Phys. Rev. B 89, 020407(R) (2014).
[5] W.-J. Hu, Y. Iqbal, F. Becca, D. Poilblanc, and D. Sheng, unpublished.
[6] H.-C. Jiang, Z. Wang, and L. Balents, Nat. Phys. 8, 902 (2012);
S. Yan, D. Huse, and S. White, Science 332, 1173 (2011).
[7] W.-J. Hu, F. Becca, A. Parola, and S. Sorella, Phys. Rev. B 88, 060402(R) (2013).
[8] S.-S. Gong, W.Z., D.N. Sheng, O.I. Motrunich, and M.P.A. Fisher, arXiv:1311.5962 (2013).
Jens Eisert, Freie University Berlin
Dynamical analogue quantum simulators
Complex quantum systems out of equilibrium are at the basis of a number of long-standing questions in physics. This talk will be concerned on the one hand with recent progress on understanding how quantum many-body systems out of equilibrium eventually come to rest, thermalise and cross phase transitions, on the other hand with dynamical analogue quantum simulations using cold atoms [1-4]. In an outlook, we will discuss the question of certification of quantum simulators, and will how this problem also arises in other related settings, such as in Boson samplers [5,6].
[1] S. Braun, M. Friesdorf, S. S. Hodgman, M. Schreiber, J. P. Ronzheimer, A. Riera, M. del Rey, I. Bloch, J. Eisert, U. Schneider, arXiv:1403.7199.
[2] M. Kliesch, M. Kastoryano, C. Gogolin, A. Riera, J. Eisert, arXiv:1309:0816.
[3] S. Trotzky, Y.-A. Chen, A. Flesch, I. P. McCulloch, U. Schollwoeck, J. Eisert, I. Bloch, Nature Physics 8, 325 (2012).
[4] A. Riera, C. Gogolin, M. Kliesch, J. Eisert, in preparation (2014).
[5] C. Gogolin, M. Kliesch, L. Aolita, J. Eisert, in preparation (2014) and arXiv:1306.3995.
[6] S. Aaronson, A. Arkhipov, arXiv:1309.7460.
Fabian Essler, University of Oxford
Light-Cone Effects after Quantum Quenches and Excitations at Finite Entropy
Matthew Fisher, University of California, Santa Barbara
Can Eigenstate Thermalization Breakdown without Disorder?
In my talk I will discuss the nature of the many-body localization-delocalization (MBLD) transition as a function of energy denisty in the quantum random energy model (QREM). QREM provides a mean-field description of the equilibrium spin glass transition. We show that it further exhibits a many-body mobility edge when viewed as a closed quantum system. The mean-field structure of the model allows an analytically tractable description of the MBLD transition. I will also comment on the nature of the critical states in this mean-field model.
This opens the possibility of developing a mean-field theory of this interesting dynamical phase transition.
Long-time behavior of periodically driven isolated interacting quantum systems
We show that generic interacting quantum systems, which are isolated and finite, periodically driven by sudden quenches exhibit three physical regimes. For short driving periods the Floquet Hamiltonian is well approximated by the time-averaged Hamiltonian, while for long periods the evolution operator exhibits properties of random matrices of a Circular Ensemble (CE). In-between, there is a crossover
Light-Cone Effects after Quantum Quenches and Excitations at Finite Entropy
Anatoli Polkovnikov - Deriving effective Floquet Hamiltonians in interacting systems using the Magnus expansion
Dynamical analogue quantum simulators
Complex quantum systems out of equilibrium are at the basis of a number of long-standing questions in physics. This talk will be concerned on the one hand with recent progress on understanding how quantum many-body systems out of equilibrium eventually come to rest, thermalise and cross phase transitions, on the other hand with dynamical analogue quantum simulations using cold atoms [1-4]. In an outlook, we will discuss the question of certification of quantum simulators, and will how this problem also arises in other related settings, such as in Boson samplers [5,6]. [1] S.
Quantum Quenches in Thermodynamic Limit
Studies of the quantum dynamics of isolated systems are currently providing fundamental insights into how statistical mechanics emerges under unitary time evolution. Thermalization seems ubiquitous, but experiments with ultracold gases have shown that it need not always occur, particularly near an integrable point. Unfortunately, computational studies of generic (nonintegrable) models are limited to small systems, for which arbitrarily long times can be calculated, or short times, for which large or infinite system sizes can be solved.
Pages
Scientific Organizers:
Dmitry Abanin, Perimeter Institute
Anushya Chandran, Perimeter Institute
Zlatko Papic, Perimeter Institute