Colloquium: Atomic quantum gases in periodically driven optical lattices

A Eckardt - Reviews of Modern Physics, 2017 - APS
Time-periodic forcing in the form of coherent radiation is a standard tool for the coherent
manipulation of small quantum systems like single atoms. In the last years, periodic driving …

The quantum Ising chain for beginners

GB Mbeng, A Russomanno, GE Santoro - SciPost Physics Lecture Notes, 2024 - scipost.org
We present here various techniques to work with clean and disordered quantum Ising
chains, for the benefit of students and non-experts. Starting from the Jordan-Wigner …

Floquet symmetry-protected topological phases in cold-atom systems

ID Potirniche, AC Potter, M Schleier-Smith… - Physical review …, 2017 - APS
We propose and analyze two distinct routes toward realizing interacting symmetry-protected
topological (SPT) phases via periodic driving. First, we demonstrate that a driven transverse …

Integrable floquet dynamics

V Gritsev, A Polkovnikov - SciPost Physics, 2017 - scipost.org
We discuss several classes of integrable Floquet systems, ie systems which do not exhibit
chaotic behavior even under a time dependent perturbation. The first class is associated …

Nonadiabatic breaking of topological pumping

L Privitera, A Russomanno, R Citro, GE Santoro - Physical review letters, 2018 - APS
We study Thouless pumping out of the adiabatic limit. Our findings show that despite its
topological nature, this phenomenon is not generically robust to nonadiabatic effects …

Open source matrix product states: Opening ways to simulate entangled many-body quantum systems in one dimension

D Jaschke, ML Wall, LD Carr - Computer Physics Communications, 2018 - Elsevier
Numerical simulations are a powerful tool to study quantum systems beyond exactly
solvable systems lacking an analytic expression. For one-dimensional entangled quantum …

Prethermal time crystals in a one-dimensional periodically driven Floquet system

TS Zeng, DN Sheng - Physical Review B, 2017 - APS
Motivated by experimental observations of time-symmetry breaking behavior in a
periodically driven (Floquet) system, we study a one-dimensional spin model to explore the …

Replica resummation of the Baker-Campbell-Hausdorff series

S Vajna, K Klobas, T Prosen, A Polkovnikov - Physical review letters, 2018 - APS
We developed a novel perturbative expansion based on the replica trick for the Floquet
Hamiltonian governing the dynamics of periodically kicked systems where the kick strength …

Multipartite entanglement after a quantum quench

S Pappalardi, A Russomanno, A Silva… - Journal of Statistical …, 2017 - iopscience.iop.org
We study the multipartite entanglement of a quantum many-body system undergoing a
quantum quench. We quantify the multipartite entanglement through the quantum Fisher …

Quantum chaos and ensemble inequivalence of quantum long-range Ising chains

A Russomanno, M Fava, M Heyl - Physical Review B, 2021 - APS
We use large-scale exact diagonalization to study the quantum Ising chain in a transverse
field with long-range power-law interactions decaying with exponent α. We numerically …