Invited speaker: Christine Muschik
Affiliation: Universität Innsbruck
Title: Real-time Dynamics of Lattice Gauge Theories with a Few-Qubit Quantum Computer
Time and room: 17:15 h, lecture hall IAP
Gauge theories are fundamental to our understanding of interactions between the elementary constituents of matter as mediated by gauge bosons. However, computing the real-time dynamics in gauge theories is a notorious challenge for classical computational methods. In the spirit of Feynman's vision of a quantum simulator, this has recently stimulated theoretical effort to devise schemes for simulating such theories on engineered quantum-mechanical devices, with the difficulty that gauge invariance and the associated local conservation laws (Gauss laws) need to be implemented. Here we report the first experimental demonstration of a digital quantum simulation of a lattice gauge theory, by realising 1+1-dimensional quantum electrodynamics (Schwinger model) on a few-qubit trapped-ion quantum computer. We are interested in the real-time evolution of the Schwinger mechanism, describing the instability of the bare vacuum due to quantum fluctuations, which manifests itself in the spontaneous creation of electron-positron pairs. Our work represents a first step towards quantum simulating high-energy theories with atomic physics experiments, the long-term vision being the extension to real-time quantum simulations of non-Abelian lattice gauge theories.
Invited speaker: Stefan Kaiser
Affiliation: MPI FKF Stuttgart
Title: Ultrafast Optical Control of Complex Quantum Materials
Time and room: 17:15 h, lecture hall IAP
It is well known fact that various phase transitions in condensed matter can by triggered by external parameters such as temperature, pressure, electric field or magnetic field. Finding systems that show phase transitions triggered by external stimulation of light became a particular interesting field of research.
Advanced nonlinear optical methods such as ultra-broad band pump-probe spectroscopy open new ways of controlling ultrafast dynamics in complex solid-state materials on unprecedented timescales. In quantum materials, finding new ways of manipulating the complex interplay of electronic phases or effectively tuning electronic interactions opens new avenues in controlling physical properties and designing new functionalities.
I will show how we investigate different scenarios like the balancing between competing phases triggered by ultrashort light pulses or possibilities of dynamical stabilization of new states of matter in periodically driven light fields. In particular I will discuss the remarkable possibilities to induce superconductivity in high temperature cuprate superconductors by melting competing “stripe”-order [1] or even promoting it to temperatures far above Tc; for some underdoped materials even up to room temperature for a few picoseconds [2,3]. Possible light-induced superconductivity in the doped fullerides K3C60 [4] will serve as important example that inducing such intriguing effects is a more general effect and not restricted to the rather specialized class of cuprate systems.
[1] D. Fausti et al. Science 331, 189 (2011).
[2] S. Kaiser et al. Phys. Rev. B 89, 184515 (2014).
[3] W. Hu et al. Nature Materials 13, 705 (2014).
[4] M. Mitrano et al. Nature 530, 461 (2016).
Invited speaker: Dr. Janos K. Asbóth
Affiliation: Wigner Research Centre for Physics of the Hungarian Academy of Sciences, Budapest
Title: The Hofstadter butterfly takes flight in quantum walks
Time and room: 17:15 h, lecture hall IAP
The Hofstadter butterfly [1] is the intricate self-similar structure of subgaps that the single energy band of a charged particle hopping on a 2-dimensional lattice develops as a magnetic field perpendicular to the lattice is turned on. It has inspired physicists for 40 years (e.g., an important role in the exploration of the quantum Hall effect), and now enjoys a renewed interest as experiments might finally be close to observing it. In case the charged particle has several internal states, the spectrum as a function of magnetic field is a multiband Hofstadter butterfly, where each energy band develops a set of subgaps. We show that besides developing subgaps, the bands of topologically nontrivial (e.g., Chern) insulators must also flow in energy as the magnetic field is tuned, because eigenstates flow across topological gaps at a steady rate. We thus connect the global topology of multiband Hofstadter butterflies, i.e., the pattern in which bands flow into each other, with the topological invariants of the underlying lattice Hamiltonians. Our results also apply to quantum walks, and other periodically driven systems, where we obtain a simple formula for the Rudner topological invariant [2], which has potential to be directly measured.
Invited speaker: Prof. Dieter Suter
Affiliation: TU Dortmund
Title: Quantum Computers: Promise, Problems and Possible Solutions
Time and room: 17:15 h, lecture hall IAP
The "digital revolution" that is transforming our lives and our economy is based on the ubiquity of information-processing devices whose processing power increased exponentially, following Moore's law. As this trend is approaching fundamental physical limits, new directions are explored for even more powerful computational devices based on quantum mechanical systems. Such devices can solve problems that will remain out of reach for conventional computers. The main difficulty for their implementation is the fragility of information stored in coherent superpositions of quantum mechanical eigenstates. This talk will highlight some aspects of the potential offered by quantum computers, as well as the difficulties that must be overcome to realise this potential. Our current work concentrates on finding solutions for some of these problems.
Invited speaker: Dr. Philipp Strack
Affiliation: Universität zu Köln
Title: Interacting and Emergent Photons in Quantum Optics and Condensed Matter
Time and room: 17:15 h, lecture hall IAP
Photons, that is, the quanta of light fields, typically interact only weakly. In our research at the interface of quantum optics and condensed matter [1], we explore theoretically the behavior of quantum materials in which quantum light couples strongly and coherently to non-linear matter components. The matter, in turn, can mediate photon-photon interactions. Examples include dense optical media in optical cavities or fractionalized spins in quantum magnets, which couple to emergent gauge fields. In this talk, will describe our work on many-body physics across these areas and try to elucidate the differences and commonalities between the photons of quantum optics versus the emergent photons in strongly correlated condensed matter materials.
[1] http://www.thp.uni-koeln.de/~strack/