Quantum Many Body Dynamics
How do large collections of interacting quantum particles evolve in time?
Even when each particle obeys simple rules, their collective behavior can
be remarkably rich. Our research focuses on understanding when and how
quantum systems reach equilibrium, and on identifying situations where
this process breaks down.
Slow thermalization from integrability breaking
An integrable system, in contrast with a generic ergodic system,
has many conserved quantities that constrain its time evolution.
When a small perturbation breaks these conservation laws, it is
expected to eventually reach thermal equilibrium. Remarkably, we
find that the time to reach equilibrium can be significantly longer
than expected in many systems of interest.
False vacuum decay and metastability
Many systems in nature can remain for a long time in states far
from equilibrium, such as supercooled water or the magnetic memory
in our computers. This occurs when the system becomes trapped in a
local energy minimum. In our research, we focus on understanding how
such metastable behavior can arise in quantum many-body systems.