Energy–time uncertainty relation for driven quantum systems
By Sebastian Deffner, Eric Lutz. 2011
171 citations recorded by the source corpus.
We derive generalizations of the energy–time uncertainty relation for driven quantum systems. Using a geometric approach based on the Bures length between mixed quantum states, we obtain explicit expressions for the quantum speed limit time, valid for arbitrary initial and final quantum states and arbitrary unitary driving protocols. Our results establish the fundamental limit on the rate of evolution of closed quantum systems.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/856d66591e01e1d5d7aeb0c7c06e0cfdec753e28
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Artificial Intelligence
- Steve Campbell
- Sebastian Deffner
- Robert Alicki
- John Goold
- Ronnie Kosloff
- Kavan Modi
- Gernot Schaller
- Andreas J. Winter
In Atomic and Molecular Physics, and Optics
- Robert Alicki
- Steve Campbell
- John Goold
- Sebastian Deffner
- Ronnie Kosloff
- Kavan Modi
- Yair Rezek
- Gernot Schaller
Citations in the corpus
- Quantacell: powerful charging of quantum batteries (2015, background): “…be in conflict with so-called quantum speed limits which bound the evolution time by the inversemean energy (Margolus and Levitin 1998), or, alternatively, its variance (Mandelstam andTamm1945) and apply to time-dependent unitary evolution between any two quantum states (Deffner and Lutz 2013).”
- Introduction to Quantum Thermodynamics: History and Prospects (2018, background): “This issue is in the realm of the quantum speed limit [102, 103] with the caveat that the energy scale of the Hamiltonian also changes.”
- Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017, methodology): “As a first application of these new bounds on the maximal quantum speed (89) Deffner and Lutz then proposed to investigate the influence of non-Markovian dynamics on the quantum speed limit time, τQSL.”