Quantum many-body spin ratchets

L Zadnik, M Ljubotina, Ž Krajnik, E Ilievski, T Prosen - PRX quantum, 2024 - APS
Introducing a class of SU (2) invariant quantum unitary circuits generating chiral transport,
we examine the role of broken space-reflection and time-reversal symmetries on spin …

Krylov complexity and Trotter transitions in unitary circuit dynamics

P Suchsland, R Moessner, PW Claeys - Physical Review B, 2025 - APS
We investigate many-body dynamics where the evolution is governed by unitary circuits
through the lens of “Krylov complexity,” a recently proposed measure of complexity and …

Dynamics of charge fluctuations from asymmetric initial states

B Bertini, K Klobas, M Collura, P Calabrese, C Rylands - Physical Review B, 2024 - APS
Conserved-charge densities are very special observables in quantum many-body systems
as, by construction, they encode information about the dynamics. Therefore, their evolution …

Strong zero modes in integrable quantum circuits

E Vernier, HC Yeh, L Piroli, A Mitra - Physical Review Letters, 2024 - APS
It is a classic result that certain interacting integrable spin chains host robust edge modes
known as strong zero modes (SZMs). In this Letter, we extend this result to the Floquet …

Integrable quantum circuits from the star-triangle relation

Y Miao, E Vernier - Quantum, 2023 - quantum-journal.org
The star-triangle relation plays an important role in the realm of exactly solvable models,
offering exact results for classical two-dimensional statistical mechanical models. In this …

Robust effective ground state in a nonintegrable Floquet quantum circuit

TN Ikeda, S Sugiura, A Polkovnikov - Physical Review Letters, 2024 - APS
An external periodic (Floquet) drive is believed to bring any initial state to the featureless
infinite temperature state in generic nonintegrable isolated quantum many-body systems in …

Exact Spin Correlators of Integrable Quantum Circuits from Algebraic Geometry

A Hutsalyuk, Y Jiang, B Pozsgay, H Xu… - arxiv preprint arxiv …, 2024 - arxiv.org
We calculate the correlation functions of strings of spin operators for integrable quantum
circuits exactly. These observables can be used for calibration of quantum simulation …

Integrability is generic in homogeneous U (1)-invariant nearest-neighbor qubit circuits

M Znidaric, U Duh, L Zadnik - arxiv preprint arxiv:2410.06760, 2024 - arxiv.org
Integrability is an exceptional property believed to hold only for systems with fine-tuned
parameters. Contrary, we explicitly show that in homogeneous nearest-neighbor qubit …

Entanglement in dual unitary quantum circuits with impurities

S Fraenkel, C Rylands - arxiv preprint arxiv:2410.03442, 2024 - arxiv.org
Bipartite entanglement entropy is one of the most useful characterizations of universal
properties in a many-body quantum system. Far from equilibrium, there exist two highly …

Dissipative variational quantum algorithms for Gibbs state preparation

Y Ilin, I Arad - IEEE Transactions on Quantum Engineering, 2024 - ieeexplore.ieee.org
In recent years, variational quantum algorithms have gained significant attention due to their
adaptability and efficiency on near-term quantum hardware. They have shown potential in a …