FOR 5522 PhD School on Nonergodic Quantum Dynamics

Session

Lecture

23 Sept 2024, 14:15

HS 2 (Max Born Hörsaal) (Faculty of Physics)

5. Lecture 1 - Transport and hydrodynamics in one-dimensional systems

Sarang Gopalakrishnan (Princeton University, U.S.A.)

23/09/2024, 14:15

6. Lecture 2 - Dynamics of complex systems through the prism of adiabatic transformations.

Anatoli Polkovnikov (Boston University, U.S.A.)

23/09/2024, 16:15

7. Lecture 3 - Dynamics of complex systems through the prism of adiabatic transformations.

Anatoli Polkovnikov (Boston University, U.S.A.)

24/09/2024, 09:00

38. Lecture 4 - Numerical simulations of quantum many-body systems out of equilibrium

Frank Pollmann (TU Munich, Germany)

24/09/2024, 11:00

9. Lecture 5 - Full Eigenstate Thermalization hypothesis: correlations and beyond

Silvia Pappalardi (Universität zu Köln, Germany)

24/09/2024, 14:15

The universality of chaotic many-body dynamics has long been identified by random matrix theory, leading to the Eigenstate Thermalization Hypothesis (ETH).
In this lecture, I will present the full version of ETH, which encompasses correlations among matrix elements needed to describe dynamical correlations of different times. Then, I will show how this ansatz can be highly simplified by the...

39. Lecture 6 - Tutorial

Frank Pollmann (TU Munich, Germany)

25/09/2024, 09:00

11. Lecture 7 - Introduction to nonergodic quantum matter

Markus Heyl (University Augsburg, Germany)

25/09/2024, 11:00

Quantum many-body systems are genuinely characterized by ergodic behavior
according to the principles of statistical mechanics. In this set of lectures,
I will discuss how such ergodic behavior can be broken by different kinds of
mechanisms including integrability, many-body localization, gauge symmetries
and local constraints.

14. Lecture 8 - Introduction to nonergodic quantum matter

Markus Heyl (University Augsburg, Germany)

26/09/2024, 09:00

Quantum many-body systems are genuinely characterized by ergodic behavior
according to the principles of statistical mechanics. In this set of lectures,
I will discuss how such ergodic behavior can be broken by different kinds of
mechanisms including integrability, many-body localization, gauge symmetries
and local constraints.

15. Lecture 9 - Engineering local constraints and gauge symmetries in optical lattices

Monika Aidelsburger (LMU Munich, Germany)

26/09/2024, 11:00

Recently, there has been remarkable progress in realizing constrained models and lattice gauge theories in a number of experimental platforms, ranging from trapped ions to cold-atoms in optical lattices, Rydberg atoms arrays and superconducting qubits. In this lecture I will introduce the basic ingredients needed to engineer local constraints and gauge symmetries and will review experimental...

37. Lecture 10 - Hilbert-space fragmentation

Sanjay Moudgalya (TU Munich, Germany)

26/09/2024, 14:15

17. Lecture 11 - Quantum many-body scars

Anne Nielsen (Aarhus University, Denmark)

26/09/2024, 16:15

Highly-excited states of quantum many-body systems are typically described well by the eigenstate thermalization hypothesis and show volume law entanglement entropy. In models with quantum many-body scars, however, a few states at high energies behave differently. These scar states typically have area law entanglement entropy and form a tower of states with equidistant energies. The scar...

18. Lecture 12 - Experimental access to non-ergodic behavior in quantum magnets with neutron scattering

Alan Tennant (University of Tennessee, Knoxville, U.S.A)

27/09/2024, 09:00

Experiments involving the behavior of quantum magnetic systems in the non-ergodic regime have been difficult to access due to a lack of clearly defined theoretical targets. The situation is changing with the realization that experiments can access the signatures of non-ergodic behavior both in the dynamical correlations in the weakly out-of-equilibrium scattering regime as well as under...

19. Lecture 13 - Probing Quantum Dynamics using Ultracold Atoms in Optical Lattices

Immanuel Bloch (LMU Munich & MPQ Garching, Germany)

27/09/2024, 11:00

Ultracold atoms and molecules offer intriguing opportunities for probing the quantum dynamics of quantum many-body systems. Initial states, lattice geometries and interactions can be fully tuned to explore novel regimes of quantum transport. Atoms can be counted one-by-one using quantum gas microscopy, giving access to the full counting statistics and non-local correlations. In this lecture, I...