Dynamics of non-Markovian open quantum systems

I De Vega, D Alonso - Reviews of Modern Physics, 2017 - APS
Open quantum systems (OQSs) cannot always be described with the Markov approximation,
which requires a large separation of system and environment time scales. An overview is …

Quantum Brownian motion: The functional integral approach

H Grabert, P Schramm, GL Ingold - Physics reports, 1988 - Elsevier
The quantum mechanical dynamics of a particle coupled to a heat bath is treated by
functional integral methods and a generalization of the Feynman-Vernon influence …

Thermometry in the quantum regime: recent theoretical progress

M Mehboudi, A Sanpera… - Journal of Physics A …, 2019 - iopscience.iop.org
Controlling and measuring the temperature in different devices and platforms that operate in
the quantum regime is, without any doubt, essential for any potential application. In this …

Strong damping and low-temperature anomalies for the harmonic oscillator

F Haake, R Reibold - Physical Review A, 1985 - APS
We consider Ullersma's model of a damped harmonic oscillator interacting with a heat bath.
We show that for large damping the oscillator does not undergo Brownian motion at any …

Completeness and orthogonality of quasinormal modes in leaky optical cavities

PT Leung, SY Liu, K Young - Physical Review A, 1994 - APS
It is shown that for the scalar analog of electrodynamics in one dimension, the quasinormal
modes of a leaky cavity form a complete set inside the cavity, provided the cavity is defined …

Escape from a metastable state

P Hanggi - Journal of Statistical Physics, 1986 - Springer
Many important processes in science involve the escape of a particle over a barrier. In this
review, we report, extend, and interpret various theories of noise-activated escape. We …

Relativistic brownian motion

J Dunkel, P Hänggi - Physics Reports, 2009 - Elsevier
Over the past one hundred years, Brownian motion theory has contributed substantially to
our understanding of various microscopic phenomena. Originally proposed as a …

Fundamental aspects of quantum Brownian motion

P Hänggi, GL Ingold - Chaos: An Interdisciplinary Journal of Nonlinear …, 2005 - pubs.aip.org
With this work we elaborate on the physics of quantum noise in thermal equilibrium and in
stationary nonequilibrium. Starting out from the celebrated quantum fluctuation-dissipation …

Floquet-Markovian description of the parametrically driven, dissipative harmonic quantum oscillator

S Kohler, T Dittrich, P Hänggi - Physical Review E, 1997 - APS
Using the parametrically driven harmonic oscillator as a working example, we study two
different Markovian approaches to the quantum dynamics of a periodically driven system …

Quantum and classical correlations in quantum Brownian motion

J Eisert, MB Plenio - Physical review letters, 2002 - APS
We investigate the entanglement properties of the joint state of a distinguished quantum
system and its environment in the quantum Brownian motion model. This model is a frequent …