Volume 115, Number 4, August 2016
|Number of page(s)||7|
|Published online||22 September 2016|
Speed limits in Liouville space for open quantum systems
Fritz Haber Research Center for Molecular Dynamics, The Hebrew University of Jerusalem Jerusalem 9190401, Israel
Received: 28 June 2016
Accepted: 30 August 2016
One of the defining properties of an open quantum system is the variation of its purity in time. We derive speed limits on the rate of purity change for systems coupled to a Markovian environment. Our speed limits are based on Liouville space where density matrices are represented as vectors. This approach leads to speed limits that are always tighter compared to their parallel speed limits in Hilbert space. These bounds depend solely on the generators of the nonunitary dynamics and are independent of the particular state of the systems. Thus, they are perfectly suited to investigate dephasing, thermalization, and decorrelation processes of arbitrary states. We show that our speed limits can be attained and are therefore tight. As an application of our results we study dephasing of interacting spins, and the speed of classical and quantum correlation erasure in multi-particle system.
PACS: 03.65.Yz – Decoherence; open systems; quantum statistical methods / 03.65.-w – Quantum mechanics
© EPLA, 2016
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.