We study a class of ergodic quantum Markov semigroups on finite-dimensional unital C⁎-
algebras. These semigroups have a unique stationary state σ, and we are concerned with …

The dissipative variant of the Ising model in a transverse field is one of the most important
models in the analysis of open quantum many-body systems, due to its paradigmatic …

We study the statistics of work, dissipation, and entropy production of a quantum quasi-
isothermal process, where the system remains close to thermal equilibrium along the …

We present an exact solution in arbitrary dimensions for the steady states of a class of
quantum driven-dissipative bosonic models, where a set of modes is subject to arbitrary two …

We prove that the generator of the L 2 implementation of a KMS-symmetric quantum Markov
semigroup can be expressed as the square of a derivation with values in a Hilbert bimodule …

We provide a systematic framework for constructing generic models of nonequilibrium
quantum dynamics with a target stationary (mixed) state. Our framework identifies (almost) …

Driven-dissipative quantum systems generically do not satisfy simple notions of detailed
balance based on the time symmetry of correlation functions. We show that such systems …

Lindblad dynamics and other open-system dynamics provide a promising path towards
efficient Gibbs sampling on quantum computers. In these proposals, the Lindbladian is …

We demonstrate a surprising connection between pure steady-state entanglement and
relaxation time scales in an extremely broad class of Markovian open systems, where two …

An invariant state of a quantum Markov semigroup is an equilibrium state if it satisfies a
quantum detailed balance condition. In this paper, we introduce a notion of entropy …