Gaussian interferometric power as a measure of continuous-variable non-Markovianity

Souza, Leonardo A.M.; Dhar, Himadri Shekhar; Bera, Manabendra Nath; Liuzzo-Scorpo, Pietro; Adesso, Gerardo

Abstract

We investigate the non-Markovianity of continuous-variable Gaussian quantum channels through the evolution of an operational metrological quantifier, namely, the Gaussian interferometric power, which captures the minimal precision that can be achieved using bipartite Gaussian probes in a black-box phase estimation setup, where the phase shift generator is a priori unknown. We observe that the monotonicity of the Gaussian interferometric power under the action of local Gaussian quantum channels on the ancillary arm of the bipartite probes is a natural indicator of Markovian dynamics; consequently, its breakdown for specific maps can be used to construct a witness and an effective quantifier of non-Markovianity. In our work, we consider two paradigmatic Gaussian models, the damping master equation and the quantum Brownian motion, and identify analytically and numerically the parameter regimes that give rise to non-Markovian dynamics. We then quantify the degree of non-Markovianity of the channels in terms of Gaussian interferometric power, showing, in particular, that even nonentangled probes can be useful to witness non-Markovianity. This establishes an interesting link between the dynamics of bipartite continuous-variable open systems and their potential for optical interferometry. The results are an important supplement to the recent research on characterization of non-Markovianity in continuous-variable systems.

Citation

Souza, L. A., Dhar, H. S., Bera, M. N., Liuzzo-Scorpo, P., & Adesso, G. (2015). Gaussian interferometric power as a measure of continuous-variable non-Markovianity. Physical Review A, 92(5), https://doi.org/10.1103/physreva.92.052122

• Journal Article Type: Article
• Acceptance Date: Sep 30, 2015
• Online Publication Date: Nov 30, 2015
• Publication Date: Nov 30, 2015
• Deposit Date: Oct 11, 2017
• Publicly Available Date: Oct 11, 2017
• Journal: Physical Review A
• Print ISSN: 2469-9926
• Electronic ISSN: 2469-9934
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 92
• Issue: 5
• DOI: https://doi.org/10.1103/physreva.92.052122
• Public URL: https://nottingham-repository.worktribe.com/output/765291
• Publisher URL: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.92.052122
• Additional Information: ©2015 American Physical Society
• Contract Date: Oct 11, 2017