[HTML][HTML] A short introduction to the Lindblad master equation

D Manzano - Aip advances, 2020 - pubs.aip.org
The theory of open quantum systems is one of the most essential tools for the development
of quantum technologies. Furthermore, the Lindblad (or Gorini-Kossakowski-Sudarshan …

Quantum simulation of the Lindblad equation using a unitary decomposition of operators

AW Schlimgen, K Head-Marsden, LAM Sager… - Physical Review …, 2022 - APS
Accurate simulation of the time evolution of a quantum system under the influence of an
environment is critical to making accurate predictions in chemistry, condensed-matter …

Harnessing symmetry to control quantum transport

D Manzano, PI Hurtado - Advances in Physics, 2018 - Taylor & Francis
Controlling transport in quantum systems holds the key to many promising quantum
technologies. Here we review the power of symmetry as a resource to manipulate quantum …

Periodically driven open quantum systems: Spectral properties and nonequilibrium steady states

H Chen, YM Hu, W Zhang, MA Kurniawan, Y Shao… - Physical Review B, 2024 - APS
In this paper, we investigate periodically driven open quantum systems within the framework
of Floquet-Lindblad master equations. Specifically, we discuss Lindblad master equations in …

Sampling rare events across dynamical phase transitions

C Pérez-Espigares, PI Hurtado - Chaos: An Interdisciplinary Journal of …, 2019 - pubs.aip.org
Interacting particle systems with many degrees of freedom may undergo phase transitions to
sustain atypical fluctuations of dynamical observables such as the current or the activity. In …

Dynamical signatures of molecular symmetries in nonequilibrium quantum transport

J Thingna, D Manzano, J Cao - Scientific reports, 2016 - nature.com
Symmetries play a crucial role in ubiquitous systems found in Nature. In this work, we
propose an elegant approach to detect symmetries by measuring quantum currents. Our …

Degenerated Liouvillians and steady-state reduced density matrices

J Thingna, D Manzano - Chaos: An Interdisciplinary Journal of …, 2021 - pubs.aip.org
Symmetries in an open quantum system lead to degenerated Liouvillians that physically
imply the existence of multiple steady states. In such cases, obtaining the initial condition …

Order and symmetry breaking in the fluctuations of driven systems

N Tizón-Escamilla, C Pérez-Espigares, PL Garrido… - Physical review …, 2017 - APS
Dynamical phase transitions (DPTs) in the space of trajectories are one of the most
intriguing phenomena of nonequilibrium physics, but their nature in realistic high …

Semi-classical Lindblad master equation for spin dynamics

J Dubois, U Saalmann, JM Rost - Journal of Physics A …, 2021 - iopscience.iop.org
We derive the semi-classical Lindblad master equation in phase space for both canonical
and non-canonical Poisson brackets using the Wigner–Moyal formalism and the Moyal star …

Coupled activity-current fluctuations in open quantum systems under strong symmetries

D Manzano, MA Martínez-García… - New Journal of …, 2021 - iopscience.iop.org
Strong symmetries in open quantum systems lead to broken ergodicity and the emergence
of multiple degenerate steady states. From a quantum jump (trajectory) perspective, the …