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Probing topology and dynamics in driven quantum many-body systems

Total Cost €


EC-Contrib. €






Project "TopDyn" data sheet

The following table provides information about the project.


Organization address
address: NORREGADE 10
postcode: 1165

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Denmark [DK]
 Total cost 1˙205˙000 €
 EC max contribution 1˙205˙000 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2015-STG
 Funding Scheme ERC-STG
 Starting year 2016
 Duration (year-month-day) from 2016-02-01   to  2021-01-31


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    KOBENHAVNS UNIVERSITET DK (KOBENHAVN) coordinator 1˙205˙000.00


 Project objective

If the twentieth century was about discovering the basic laws of quantum mechanics, then the twenty first century will be about pushing them to new frontiers and learning how to control them. Condensed matter systems are predicted to host many intriguing and potentially useful quantum phenomena, though materials where they can be realized are rare. This motivates me to seek alternative routes for their realization, and to find new means for controlling quantum many-body systems.

In this project I aim to provide a deeper and broader theoretical understanding of quantum dynamics in driven many-body systems, and to expose new routes for experimental investigation. As a major research theme, my team will investigate possibilities for using time-dependent fields to realize topological phenomena through strong driving. The theoretical description and realization of such phenomena is a multifaceted problem that will serve as a vehicle for elucidating many general aspects of driven quantum dynamics that are relevant on an even broader scale.

To achieve my broad goals I propose an ambitious work plan, organized into three interrelated work packages focused on: 1) characterizing, 2) realizing, and 3) probing the static, dynamic, and topological properties of driven quantum systems. In some cases we will study conceptually pure, minimal models, designed to illustrate the interplay between driving and interactions. We will also investigate realistic, experimentally-motivated models, seeking to understand the key factors and processes that govern the realization of topological phenomena in driven systems, and how to control them. In addition, we will study non-equilibrium probes of correlated systems, focusing on using the nuclear spin environments of electronic systems to probe and control the systems' magnetic properties. Through each of these tracks we will gain valuable new insight into the nature and dynamics of quantum many-body systems, far from equilibrium.


year authors and title journal last update
List of publications.
2019 Karthik I. Seetharam, Charles-Edouard Bardyn, Netanel H. Lindner, Mark S. Rudner, Gil Refael
Steady states of interacting Floquet insulators
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.99.014307
Physical Review B 99/1 2019-06-19
2018 Iliya Esin, Mark S. Rudner, Gil Refael, Netanel H. Lindner
Quantized transport and steady states of Floquet topological insulators
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.97.245401
Physical Review B 97/24 2019-06-19
2018 Ajit C. Balram, Maissam Barkeshli, Mark S. Rudner
Parton construction of a wave function in the anti-Pfaffian phase
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.98.035127
Physical Review B 98/3 2019-06-19
2018 Ajit C. Balram, Sutirtha Mukherjee, Kwon Park, Maissam Barkeshli, Mark S. Rudner, J. K. Jain
Fractional Quantum Hall Effect at ν = 2 + 6 / 13 : The Parton Paradigm for the Second Landau Level
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.121.186601
Physical Review Letters 121/18 2019-06-19
2017 Ajit C. Balram, J. K. Jain
Particle-hole symmetry for composite fermions: An emergent symmetry in the fractional quantum Hall effect
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.96.245142
Physical Review B 96/24 2019-06-19
2018 Ervand Kandelaki, Mark S. Rudner
Many-Body Dynamics and Gap Opening in Interacting Periodically Driven Systems
published pages: , ISSN: 0031-9007, DOI: 10.1103/physrevlett.121.036801
Physical Review Letters 121/3 2019-06-19
2017 Netanel H. Lindner, Erez Berg, Mark S. Rudner
Universal Chiral Quasisteady States in Periodically Driven Many-Body Systems
published pages: , ISSN: 2160-3308, DOI: 10.1103/physrevx.7.011018
Physical Review X 7/1 2019-06-19
2017 Ajit C. Balram, J. K. Jain
Fermi wave vector for the partially spin-polarized composite-fermion Fermi sea
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.96.235102
Physical Review B 96/23 2019-06-19
2018 Eric I. Rosenthal, Nicole K. Ehrlich, Mark S. Rudner, Andrew P. Higginbotham, K. W. Lehnert
Topological phase transition measured in a dissipative metamaterial
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.97.220301
Physical Review B 97/22 2019-06-19
2017 Arijit Kundu, Mark Rudner, Erez Berg, Netanel H. Lindner
Quantized large-bias current in the anomalous Floquet-Anderson insulator
published pages: , ISSN: , DOI:
2019 Ajit C. Balram, Karsten Flensberg, Jens Paaske, Mark S. Rudner
Current-induced gap opening in interacting topological insulator surfaces
published pages: , ISSN: , DOI:
2019 Tobias Gulden, Erez Berg, Mark S. Rudner, Netanel H. Lindner
Exponentially long lifetime of universal quasi-steady states in topological Floquet pumps
published pages: , ISSN: , DOI:

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