Quantum many-body scars and weak breaking of ergodicity

M Serbyn, DA Abanin, Z Papić - Nature Physics, 2021 - nature.com
Thermalization is the inevitable fate of many complex quantum systems, whose dynamics
allow them to fully explore the vast configuration space regardless of the initial state—the …

Periodic orbits, entanglement, and quantum many-body scars in constrained models: Matrix product state approach

WW Ho, S Choi, H Pichler, MD Lukin - Physical review letters, 2019 - APS
We analyze quantum dynamics of strongly interacting, kinetically constrained many-body
systems. Motivated by recent experiments demonstrating surprising long-lived, periodic …

Parallel quantum simulation of large systems on small NISQ computers

F Barratt, J Dborin, M Bal, V Stojevic… - npj Quantum …, 2021 - nature.com
Tensor networks permit computational and entanglement resources to be concentrated in
interesting regions of Hilbert space. Implemented on NISQ machines they allow simulation …

Weak ergodicity breaking through the lens of quantum entanglement

Z Papić - Entanglement in Spin Chains: From Theory to Quantum …, 2022 - Springer
Recent studies of interacting systems of quantum spins, ultracold atoms, and correlated
fermions have shed a new light on how isolated many-body systems can avoid rapid …

Correspondence principle for many-body scars in ultracold Rydberg atoms

CJ Turner, JY Desaules, K Bull, Z Papić - Physical Review X, 2021 - APS
The theory of quantum scarring—a remarkable violation of quantum unique ergodicity—
rests on two complementary pillars: the existence of unstable classical periodic orbits and …

The Lyapunov spectra of quantum thermalisation

A Hallam, JG Morley, AG Green - Nature communications, 2019 - nature.com
Thermalisation in closed quantum systems occurs through a process of dephasing due to
parts of the system outside of the window of observation, gradually revealing the underlying …

Embedding semiclassical periodic orbits into chaotic many-body Hamiltonians

A Hallam, JY Desaules, Z Papić - Physical Review Letters, 2023 - APS
Protecting coherent quantum dynamics from chaotic environment is key to realizations of
fragile many-body phenomena and their applications in quantum technology. We present a …

Spacetime path integrals for entangled states

N Tyagi, K Wharton - Foundations of Physics, 2022 - Springer
Although the path-integral formalism is known to be equivalent to conventional quantum
mechanics, it is not generally obvious how to implement path-based calculations for multi …

Phase transitions in the classical simulability of open quantum systems

F Azad, A Hallam, J Morley, AG Green - Scientific Reports, 2023 - nature.com
We introduce a Langevin unravelling of the density matrix evolution of an open quantum
system over matrix product states, which we term the time-dependent variational principle …

The - spin chain and the non-linear sigma model at

AJ McRoberts, C Hooley, AG Green - arXiv preprint arXiv:2411.08095, 2024 - arxiv.org
There are two competing pictures for how the $ O (3) $ non-linear sigma model (NLSM) with
a topological theta term renormalises to the $\mathfrak {\hat {su}}(2) _1 $ Wess-Zumino …