Geometry and response of Lindbladians

VV Albert, B Bradlyn, M Fraas, L Jiang - Physical Review X, 2016 - APS
Markovian reservoir engineering, in which time evolution of a quantum system is governed
by a Lindblad master equation, is a powerful technique in studies of quantum phases of …

Topological charge pum** in the interacting bosonic Rice-Mele model

A Hayward, C Schweizer, M Lohse, M Aidelsburger… - Physical Review B, 2018 - APS
We investigate topological charge pum** in a system of interacting bosons in the tight-
binding limit, described by the Rice-Mele model. An appropriate topological invariant for the …

Observation of topological Uhlmann phases with superconducting qubits

O Viyuela, A Rivas, S Gasparinetti, A Wallraff… - npj Quantum …, 2018 - nature.com
Topological insulators and superconductors at finite temperature can be characterized by
the topological Uhlmann phase. However, a direct experimental measurement of this …

Dissipative topological phase transition with strong system-environment coupling

W Nie, M Antezza, Y Liu, F Nori - Physical Review Letters, 2021 - APS
A primary motivation for studying topological matter regards the protection of topological
order from its environment. In this work, we study a topological emitter array coupled to an …

Topology and observables of the non-Hermitian Chern insulator

MR Hirsbrunner, TM Philip, MJ Gilbert - Physical Review B, 2019 - APS
Topology now plays a central role in physics, yet its applications have so far been restricted
to closed, lossless systems in thermodynamic equilibrium. Given that many physical systems …

Spontaneous -symmetry breaking in non-Hermitian coupled-cavity array

Y **ng, L Qi, J Cao, DY Wang, CH Bai, HF Wang… - Physical Review A, 2017 - APS
We study the effects of the position of the passive and active cavities on the spontaneous
parity-time-(PT-) symmetry-breaking behavior in a non-Hermitian coupled-cavity-array …

Lindbladians with multiple steady states: theory and applications

VV Albert - arxiv preprint arxiv:1802.00010, 2018 - arxiv.org
Markovian master equations, often called Liouvillians or Lindbladians, are used to describe
decay and decoherence of a quantum system induced by that system's environment. While a …

Symmetry-protected topological phases at finite temperature

O Viyuela, A Rivas, MA Martin-Delgado - 2D Materials, 2015 - iopscience.iop.org
We have applied the recently developed theory of topological Uhlmann numbers to a
representative model of a topological insulator in two dimensions, the Qi–Wu–Zhang model …

Non-Markovian linear response theory for quantum open systems and its applications

HZ Shen, DX Li, XX Yi - Physical Review E, 2017 - APS
The Kubo formula is an equation that expresses the linear response of an observable due to
a time-dependent perturbation. It has been extended from closed systems to open systems …

General response formula and application to topological insulator in quantum open system

HZ Shen, M Qin, XQ Shao, XX Yi - Physical Review E, 2015 - APS
It is well-known that the quantum linear response theory is based on the first-order
perturbation theory for a system in thermal equilibrium. Hence, this theory breaks down …