New Directions in far from Equilibrium Integrability and beyond: March 11, 2024 – May 10, 2024

Participant List APPLICATIONView Videos

Organizing by:

• Alexander Abanov (Stony Brook University)
• Boris Altshuler (Columbia University)
• Natan Andrei (Rutgers University)
• Hrachya Babujian (Alikhanian National Lab, Yerevan Physics Institute)
• Lea Santos (University of Connecticut)
• Tigran Sedrakyan (University of Massachusetts)
• Emil Yuzbashyan (Rutgers University)

The field of far from equilibrium many-body quantum systems is on the verge of a breakthrough both theoretically and experimentally. The program will facilitate progress by bringing together leading researchers in the field. We will leverage existing intellectual potential in integrable many-body and dynamical systems to ensure this program makes a critical and lasting impact on this rapidly developing field.

The exact understanding of the many-body states of quantum matter and their dynamical properties is central to the condensed matter, quantum information, atomic, molecular, and optical (AMO), and fundamental interactions physics communities. Advances in theoretical modeling and the power of computational techniques play an essential role in discovering novel states of matter in and away from equilibrium. They have been successfully implemented in condensed matter systems, including material science, AMO physics, and microwave architectures. On the other hand, quantum integrable systems have generated interest primarily because of their analytical tractability and property of possessing a large number of conserved currents. However, recent studies show that the stability of integrable or nearly-integrable Hamiltonian systems in and out of equilibrium in the presence of dissipative dynamics is robust compared to their nonintegrable counterparts. This observation suggests that integrability is a crucial property that allows one to study the observable characteristics of the systems within an exact theoretical framework and is also a physical property generating many universal behaviors of the system far from equilibrium. The effective theories with relevant degrees of freedom and/or emergent phenomena characteristic to a driven many-body system are defined through the stationary part of the many-body quantum Hamiltonian and the dynamical term. Their interplay with the principle of minimum energy, chaoticity, and the restrictions (or absence thereof) for the system to thermalize define the properties of the manybody state of the system far from equilibrium.

This program will also be hosting a workshop: New Directions in far from Equilibrium Integrability and beyond: April 29 – May 3, 2024 associated with this program.