By Angela Riva
In Open Quantum Systems (OQS) theory, where the effective dynamics of a subsystem are described by tracing out environmental degrees of freedom, model reduction techniques become crucial for both conceptual understanding and practical efficiency. In this work, we study the connection between two model reduction methods for systems described by a Lindblad equation. The first is the Time Convolutionless (TCL) master equation, a standard tool in OQS theory used to compute the projected time-evolution. The second is the geometric formulation of Adiabatic Elimination (AE), based on the timescale separation of the dynamics of those quantum systems that exhibit a rapid relaxation to an invariant subspace, followed by a slower relaxation in it.
We provide a unified perspective on the two approaches, showing that the TCL master equation offers an alternative formulation to AE. We do so by introducing a conjecture and proving it up to third order of the time-scale separation parameter in perturbative calculations. Additionally, we provide practical demonstrations of the TCL projective approach to AE.
Our findings have twofold implications: the geometric perspective of AE gives a novel understanding to the TCL master equations, while the latter provides robust solutions to challenges within AE computations.
By Hepeng Yao
By Serge Florens
By Antoine Browaeys
By Davide Rossini
By Adam Rançon
By Laurent Sanchez-Palencia
By Angela Riva
By Jacqueline Bloch
By Irenée Frérot
By Monika Aidelsburger
By Tommaso Roscilde
By Dimitri Gangardt
By Jérôme Dubail
By Artem Volosniev
By Roberta Citro
By Alessandro Romito
By Maxim Olchanyi
By Andrea Trombettoni
By Stefania De Palo
By Silvia Musolino
By Jacopo De Nardis
By Joseph Vovrosh
By Matteo Rizzi
By Lucila Peralta Gavensky
By Albert Schwarz
By Albert Schwarz
By Clément Delcamp
By Stephen Coombes , Peter Liddle
By Victor Kleptsyn
By Jean Feydy
By François-Xavier Vialard
