Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Quantum Information Processing

Realizing the dynamics of a non-Markovian quantum system by Markovian coupled oscillators: a Green’s function-based root locus approach

Shibei Xue, Ian R. Petersen

Published Dec 1, 2015• 11 citations
Publisher
DOI
10.1007/s11128-015-1196-5

Related papers

Witnessing the boundary between Markovian and non-Markovian quantum dynamics: a Green’s function approach

Shibei Xue, Re-Bing Wu, Tzyh‐Jong Tarn +1 more

Quantum Information Processing•Apr 23, 2015•10 citations

A root locus approach to constructing Markovian coupled oscillators to capture the dynamics of a non-Markovian quantum system

Shi-Bei Xue, Ian R. Petersen

This paper shows that a principal oscillator in a pair of Markovian coupled oscillators can be designed to capture the dynamics of a non-Markovian quantum system disturbed by Lorentzian noise. By using a Green's function based root locus approach, conditions for designing the Markovian coupled oscillators are obtained, with which the scaled system amplitude for the principal oscillator can capture that of the non-Markovian system.

Asian Control Conference (ASCC)•May 1, 2015•2 citations

NON-MARKOVIAN DYNAMICS OF QUANTUM SYSTEMS

Dariusz Chruściński, Andrzej Kossakowski

QP-PQ, quantum probability and white noise analysis•Jan 1, 2011•0 citations

Exploring frequency-domain characteristics of Markovian and non-Markovian quantum dynamics

Shi-Bei Xue, Re-Bing Wu, TZYH JONG TARN +1 more

This paper presents a Green's function based root locus method to investigate the frequency-domain characteristics of Markovian and non-Markovian open quantum systems. A Langevin equation for the system is derived, where we show the structure of the Green's function dominates the system dynamics. In addition, by increasing the coupling between the system and its environment, variations in the modes of the Green's function are explored in the frequency domain, where both the critical transition from Markovian to non-Markovian dynamics and a critical point condition under Lorentzian noise are graphically presented using a root locus method. Related results are verified using an example of a boson-boson coupling system.

Australian Control Conference•Nov 1, 2014•1 citation

Protecting coherence of a single quantum dot system via non-Markovian coherent feedback

Shibei Xue, Re-Bing Wu, Michael Hush +1 more

This paper presents a non-Markovian coherent feedback control scheme for stabilizing a single quantum dot system. The feedback loop is closed via quantum tunneling process between the natural source and drain baths of the quantum dot. The exact feedback-controlled non-Markovian Langevin equation is derived to describe the dynamics of the quantum dot. Since the memory function in the Langevin equation is a nonlinear function of the feedback coupling strength, a method named root locus of the Green's function is presented to analyze the non-Markovian dynamics in the frequency domain. This method graphically reveals the mechanism of decoherence suppression induced by non-Markovian coherent feedback, which is verified by an example of single quantum dot systems.

•Dec 2, 2015•0 citations

Non-Markovian dynamics of quantum systems

Z. Kanokov

•Nov 1, 2012•0 citations
This paper presents a Green's function based root locus method to investigate the frequency-domain characteristics of Markovian and non-Markovian open quantum systems. A Langevin equation for the system is derived, where we show the structure of the Green's function dominates the system dynamics. In addition, by increasing the coupling between the system and its environment, variations in the modes of the Green's function are explored in the frequency domain, where both the critical transition from Markovian to non-Markovian dynamics and a critical point condition under Lorentzian noise are graphically presented using a root locus method. Related results are verified using an example of a boson-boson coupling system.
This paper presents a non-Markovian coherent feedback control scheme for stabilizing a single quantum dot system. The feedback loop is closed via quantum tunneling process between the natural source and drain baths of the quantum dot. The exact feedback-controlled non-Markovian Langevin equation is derived to describe the dynamics of the quantum dot. Since the memory function in the Langevin equation is a nonlinear function of the feedback coupling strength, a method named root locus of the Green's function is presented to analyze the non-Markovian dynamics in the frequency domain. This method graphically reveals the mechanism of decoherence suppression induced by non-Markovian coherent feedback, which is verified by an example of single quantum dot systems.