Nonequilibrium boundary-driven quantum systems: Models, methods, and properties

GT Landi, D Poletti, G Schaller - Reviews of Modern Physics, 2022 - APS
Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

Bounds in nonequilibrium quantum dynamics

Z Gong, R Hamazaki - International Journal of Modern Physics B, 2022 - World Scientific
We review various bounds concerning out-of-equilibrium dynamics in few-level and many-
body quantum systems. We primarily focus on closed quantum systems but will also mention …

Floquet–Magnus theory and generic transient dynamics in periodically driven many-body quantum systems

T Kuwahara, T Mori, K Saito - Annals of Physics, 2016 - Elsevier
This work explores a fundamental dynamical structure for a wide range of many-body
quantum systems under periodic driving. Generically, in the thermodynamic limit, such …

Efficient learning of ground and thermal states within phases of matter

C Rouzé, D Stilck França, E Onorati… - Nature …, 2024 - nature.com
We consider two related tasks:(a) estimating a parameterisation of a given Gibbs state and
expectation values of Lipschitz observables on this state;(b) learning the expectation values …

Defining stable phases of open quantum systems

T Rakovszky, S Gopalakrishnan, C Von Keyserlingk - Physical Review X, 2024 - APS
The steady states of dynamical processes can exhibit stable nontrivial phases, which can
also serve as fault-tolerant classical or quantum memories. For Markovian quantum …

Quantum advantage and stability to errors in analogue quantum simulators

R Trivedi, A Franco Rubio, JI Cirac - Nature Communications, 2024 - nature.com
Several quantum hardware platforms, while being unable to perform fully fault-tolerant
quantum computation, can still be operated as analogue quantum simulators for addressing …

Efficient and robust estimation of many-qubit Hamiltonians

D Stilck França, LA Markovich, VV Dobrovitski… - Nature …, 2024 - nature.com
Characterizing the interactions and dynamics of quantum mechanical systems is an
essential task in develo** quantum technologies. We propose an efficient protocol based …

Positive tensor network approach for simulating open quantum many-body systems

AH Werner, D Jaschke, P Silvi, M Kliesch, T Calarco… - Physical review …, 2016 - APS
Open quantum many-body systems play an important role in quantum optics and condensed
matter physics, and capture phenomena like transport, the interplay between Hamiltonian …

Locality of temperature

M Kliesch, C Gogolin, MJ Kastoryano, A Riera, J Eisert - Physical review x, 2014 - APS
This work is concerned with thermal quantum states of Hamiltonians on spin-and fermionic-
lattice systems with short-range interactions. We provide results leading to a local definition …

Relaxation times of dissipative many-body quantum systems

M Žnidarič - Physical Review E, 2015 - APS
We study relaxation times, also called mixing times, of quantum many-body systems
described by a Lindblad master equation. We in particular study the scaling of the spectral …