Explaining quantum many-body dynamics is a long-held goal of physics. A rigorous operator
algebraic theory of dynamics in locally interacting systems in any dimension is provided …

While several numerical techniques are available for predicting the dynamics of non-
Markovian open quantum systems, most struggle with simulations for very long memory and …

We study the quantum dynamics of a many-body system subject to coherent evolution and
coupled to a non-Markovian bath. We propose a technique to unravel the non-Markovian …

Controlling phase transitions in quantum systems via coupling to reservoirs has been mostly
studied for idealized memory-less environments under the so-called Markov approximation …

Dissipative phase transitions in quantum systems have been largely studied under the so-
called Markovian approximation, where the environments to which the systems are coupled …

The photon blockade based on destructive quantum interference is called the
unconventional photon blockade (UPB), which has been intensively studied in Markovian …

The Kondo effect is one of the most studied examples of strongly correlated quantum many-
body physics. Another type of strongly correlated physics that has only recently been …

Recent advances in numerical methods significantly pushed forward the understanding of
electrons coupled to quantized lattice vibrations. At this stage, it becomes increasingly …

As the main medium of quantum information, the frequency difference between optical and
microwave photons is five orders of magnitude. Therefore, we generally improve the …

We investigate the steady state phase diagram of fermionic atoms subjected to an optical
lattice and coupled to a high finesse optical cavity with photon losses. The coupling between …